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NCERT Solutions for Class 7 Maths Chapter 1 Integers

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NCERT Solutions for Class 7 Maths Chapter 1 Integers

Edited By Ramraj Saini | Updated on Feb 07, 2024 04:48 PM IST

NCERT Solutions for Class 7 Maths Chapter 1 Integers are discussed here. These NCERT solutions are created by expert team at Careers360 keeping in mind the latest CBSE syllabus 2023. These solutions are simple, comprehensive and cover step by step solutions of each problem. The first chapter of class 7 starts with recollecting the concepts of integers studied in the previous class of NCERT. The first exercise explained in the NCERT class 7 maths chapter 1 solutions are based on these recollected concepts. In NCERT solutions for class 7 maths chapter 1, you will study more about the integers, their properties, and operations. There are a total of 4 exercises with 30 questions in this NCER book chapter. All the questions are explained in the CBSE NCERT solutions for class 7 maths chapter 1 .

The NCERT solutions are prepared by expert teachers to help students. NCERT Class 7 maths chapter 1 solutions are important for a student. All the topics included in NCERT Class 7 Maths chapter 1 solutions are extremely important for higher classes as well. In this NCERT Solutions for Class 7 Maths Chapter 1, we will study important topics of NCERT solutions for class 7 like properties of addition, subtraction, multiplication, and division of Integers. Here you will get NCERT Class 7 Maths chapter 1 solutions to all four exercises.

NCERT Solutions for Class 7 Maths Chapter 1 Integers - Important Formulae

Subtraction with Additive Inverse: a – b = a + additive inverse of b = a + (– b)

Subtraction of a Negative Number: a – (– b) = a + additive inverse of (– b) = a + b

Associative Property of Addition: a + (b + c) = (a + b) + c

Multiplication with a Negative Number: a × (– b) = (– a) × b = – (a × b)

Multiplication of Two Negative Numbers: (– a) × (– b) = a × b

Associative Property of Multiplication: (a × b) × c = a × (b × c)

Distributive Property of Multiplication over Addition: a × (b + c) = a × b + a × c

Distributive Property of Multiplication over Subtraction: a × (b – c) = a × b – a × c

Division by Negative Number: a ÷ (– b) = (– a) ÷ b (where b ≠ 0)

Division of Two Negative Numbers: (– a) ÷ (– b) = a ÷ b (where b ≠ 0)

Undefined Division by Zero: a ÷ 0 is not defined

Division by 1: a ÷ 1 = a

NCERT Solutions for Class 7 Maths Chapter 1 Integers - Important Points

  • Integers are closed for both addition and subtraction. That is, if a and b are any integers then a + b and a – b are also integers.
  • The addition is commutative for the integers, such that a + b = b + a for all integers 'a' and 'b'.
  • The addition is associative for the integers, such that, (a + b) + c = a + (b + c) for all the integers 'a', 'b' and 'c'.
  • Integer 0 is the identity under addition. That is, a + 0 = 0 + a = a for every integer 'a'.
  • Integers are closed under multiplication. That is, a \times b is an integer for any two integers 'a' and 'b'.
  • Multiplication is commutative for the integers. That is, a \times b= b \times a for any integers 'a' and 'b.'
  • The integer 1 is the identity under multiplication, such that, 1 \times a= a \times 1 = a for any integer 'a'.
  • Multiplication is associative for the integers, such that, (a \times b) \times c = a \times (b \times c) for any three integers a, b and c.

NCERT Solutions for Class 7 Maths Chapter 1 Integers

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NCERT Solutions for Class 7 Maths Chapter 1 Integers(Intext Questions and Exercise)

NCERT Solutions for Class 7 Maths Chapter 1 Integers

Topic 1.2

1. A number line representing integers is given below

1643863676143

–3 and –2 are marked by E and F respectively. Which integers are marked by B, D, H, J, M and O?

Answer: First, we complete the number line.

1643863701109

Now, the integers marked by:

B = -6

D = -4

H = 0

J = 2

M = 5

O = 7

2. Arrange 7, –5, 4, 0 and – 4 in ascending order and then mark them on a number line to check your answer.

Answer: The given number are: 7, –5, 4, 0 and – 4

Arranging them in ascending order (increasing order)

-5,-4, 0 , 4, 7

On a number line, as we move towards the right, the number increases.

NCERT Solutions for Class 7 Maths Chapter 1 Integers Topic 1.3.5

1. Write a pair of integers whose sum gives
(a) a negative integer (b) zero
(c) an integer smaller than both the integers. (d) an integer smaller than only one of the integers.
(e) an integer greater than both the integers.

Answer:

(a) a negative integer : -8 \ \&\ 3
(b) zero : -8 \ \&\ 8
(c) an integer smaller than both the integers. -8 \ \&\ -3
(d) an integer smaller than only one of the integers. -8 \ \&\ 3
(e) an integer greater than both the integers. 8 \ \&\ 3

2. Write a pair of integers whose difference gives
(a) a negative integer. (b) zero.
(c) an integer smaller than both the integers. (d) an integer greater than only one of the integers.
(e) an integer greater than both the integers.

Answer:

(a) a negative integer : -8 \ \&\ 3 : -8 - 3 = -11
(b) zero : 8 \ \&\ 8
(c) an integer smaller than both the integers. -8 \ \&\ 3
(d) an integer smaller than only one of the integers. -8 \ \&\ -3
(e) an integer greater than both the integers. 8 \ \&\ -3

NCERT Solutions for Class 7 Maths Chapter 1 Integers Topic 1.4.1

1. Find:
(i) 6 × (–19)
(ii) 12 × (–32)
(iii) 7 × (–22)

Answer:

Multiplying a positive integer and a negative integer, we multiply them as whole numbers and put a minus sign (–) before the product. We thus get a negative integer

(i) 6 \times (-19) = -(6\times19) = -114

(ii) 12 \times (-32) = -(12\times32) = -384

(iii) 7 \times (-22) = -(7\times22) = -154

1. Find:
(a) 15 × (–16) (b) 21 × (–32)
(c) (– 42) × 12 (d) –55 × 15

Answer: We know, multiplication of a positive and negative integer is given by:

a \times (- b) = (- a) \times b = - (a \times b)

(a) 15 \times (-16) = -(15\times16) = -240

(b) 21 \times (-32) = -(21\times32) = -672

(c) (- 42) \times 12 = -(42\times12) = -504

(d) �55 \times 15 = -(55\times15) = -825 (-55)\times 15=-(55\times 15)=825

2. Check if (a) 25 × (–21) = (–25) × 21 (b) (–23) × 20 = 23 × (–20)

Write five more such examples.

Answer: We know, when multiplying a positive integer and a negative integer, we multiply them as whole numbers and put a minus sign (–) before the product. We thus get a negative integer.

(a) 25 \times (-21) = (-25) \times 21

L.H.S = 25 \times (-21) = -(25\times21) = -525

R.H.S = (-25) \times 21 = -(25\times21) = -525

Therefore, L.H.S = R.H.S

(b) (-23) \times 20 = 23 \times (-20)

L.H.S = (-23) \times 20 = -(23\times20) = -460

R.H.S = 23 \times (-20) = -(23\times20) = -460

Therefore, L.H.S = R.H.S

Five more examples:

\\ 20 \times (-1) = (-20) \times 1 \\ 15 \times (-20) = (-15) \times 20 \\ 3 \times (-2) = (-3) \times 2 \\ (-10) \times 5= 10\times (-5) \\ (-50) \times 110= 50\times (-110)

Q. Find: (–31) × (–100), (–25) × (–72), (–83) × (–28)

Answer: We know,

Multiplication of two negative integers : (- a) \times (- b) = a \times b

\\ (-31) \times (-100) = 31 \times100 = 3100 \\ \\ (-25) \times (-72) = 25\times 72 = 1800 \\ \\ (-83) \times (-28) = 83\times 28 = 2324

NCERT Soltions for Class 7 Maths Chapter 1 Integers Topic 1.4.3

(i) The product (–9) × (–5) × (– 6)×(–3) is positive whereas the product (–9) × ( –5) × 6 × (–3) is negative. Why?

Answer: We know,

If the number of negative integers in a product is even, then the product is a positive integer and if the number of negative integers in a product is odd, then the product is a negative integer.

Hence, the product (-9) \times (-5) \times (- 6)\times(-3) is positive whereas the product (-9) \times (-5) \times 6\times(-3) is negative

(ii) What will be the sign of the product if we multiply together:

(a) 8 negative integers and 3 positive integers?

(b) 5 negative integers and 4 positive integers?

(c) (–1), twelve times?

(d) (–1), 2m times, m is a natural number?

Answer: We know,

If the number of negative integers in a product is even, then the product is a positive integer and if the number of negative integers in a product is odd, then the product is a negative integer

And, any number of positive integers will always give a positive integer.

So, the sign of the product will be decided by the number of negative integers.

(a) 8 negative integers and 3 positive integers: Even number of negative integers, hence product is positive.

(b) 5 negative integers and 4 positive integers: Odd number of negative integers, hence product is negative.

(c) (–1), twelve times: Even number of negative integers, hence product is positive.

(d) (–1), 2m times, m is a natural number: Even number of negative integers, hence product is positive.

NCERT Solutions for Class 7 Maths Chapter 1 Integers Topic 1.5.6

(i) Is 10 × [(6 + (–2)] = 10 × 6 + 10 × (–2)?

Answer:

L.H.S = 10 \times [(6 + (-2)] = 10\times4 =40

R.H.S = 10 \times 6 + 10 \times (-2) = 60 + (-20) = 40

Therefore,L.H.S = R.H.S

Hence, 10 \times [(6 + (-2)] = 10 \times [(6 + (-2)]

(ii) Is (–15) × [(–7) + (–1)] = (–15) × (–7) + (–15) × (–1)?

Answer:

L.H.S = (-15) \times [(-7) + (-1)] = (-15)\times(-8) = 120

R.H.S = (-15) \times (-7) + (-15) \times (-1) = [-(15 \times 7)] + [-(15 \times 1) ]=(105) + 15 = 120

Therefore, L.H.S = R.H.S

Hence, (-15) \times [(-7) + (-1)] = (-15) \times (-7) + (-15) \times (-1)

(i) Is 10 × (6 – (–2)] = 10 × 6 – 10 × (–2)?

Answer:

L.H.S = 10 \times [6 - (-2)] = 10\times[6+2] = 10\times8 = 80

R.H.S = 10 \times 6- 10 \times (-2) = 60 - (-20) = 60+20 = 80

\therefore L.H.S = R.H.S

(ii) Is (–15) × [(–7) – (–1)] = (–15) × (–7) – (–15) × (–1)?

Answer:

L.H.S = (-15) \times [(-7) - (-1)] =(-15) \times [-7 +1]

= (-15) \times (-6) = -(15\times6) = -90

R.H.S = (-15) \times (-7) - (-15) \times (-1) = -(15\times7)-[-(15\times1)]

= -105+15 = -90

Therefore, L.H.S = R.H.S

NCERT Solutions for Class 7 Maths Chapter 1 Integers Topic 1.5.7

Q. Find (– 49) × 18; (–25) × (–31); 70 × (–19) + (–1) × 70 using distributive property.

Answer: We know,

Distributive law: for any integers a, b and c, a \times (b + c) = a \times b + a \times c

\\ (- 49) \times 18 = (-50+1)\times18 = (-50)\times18 + 1\times18 \\ = -900 + 18 = -782 \\ \\ (-25) \times (-31) = (-25)\times((-30) + (-1)) \\ = (-25)\times(-30) + (-25)\times(-1) = 750+25 = 725 \\ \\ 70 \times (-19) + (-1) \times 70 = 70\times((-19)+ (-1)) \\ = 70\times(-20) = -1400

NCERT Solutions for Class 7 Maths Chapter 1 Integers Topic 1.6

Find:
(a) (–100) ÷ 5 (b) (–81) ÷ 9

(c) (–75) ÷ 5 (d) (–32) ÷ 2

Answer: When we divide a negative integer by a positive integer, we first divide them as whole numbers and then put a minus sign (–) before the quotient

(a) (-100) \div 5 = -\frac{100}{5} = -20

(b) (-81) \div 9 = -(\frac{81}{9} )= -9

(c) (-75) \div 5 = -(\frac{75}{5} )= -15

(d) (-32) \div 2 = -(\frac{32}{2} )= -16

Find: (a) 125 ÷ (–25) (b) 80 ÷ (–5) (c) 64 ÷ (–16)

Answer: When we divide a positive integer by a negative integer, we first divide them as whole numbers and then put a minus sign (–) before the quotient.

(a) 125 \div (-25) = -\left (\frac{125}{25} \right ) = -5

(b) 80\div (-5) = -\left (\frac{80}{5} \right ) = -16

(c) 64\div (-16) = -\left (\frac{64}{16} \right ) = -4

Find: (a) (–36) ÷ (– 4) (b) (–201) ÷ (–3) (c) (–325) ÷ (–13)

Answer: When we divide a negative integer by a negative integer, we first divide them as whole numbers and then put a positive sign (+).

(a)

\\ (-36) \div (- 4) \\ = +\left (\frac{36}{4} \right ) \\ = 9


(b)

\\ (-201) \div (- 3) \\ = +\left (\frac{201}{3} \right ) \\ = 67


(c)

\\ (-325) \div (- 13) \\ = +\left (\frac{325}{13} \right ) \\ = 25

NCERT Solutions for Class 7 Maths Chapter 1 Integers Topic 1.7

Q. Is (i) 1 ÷ a = 1?
(ii) a ÷ (–1) = – a? for any integer a.
Take different values of a and check.

Answer: (i) 1 \div a = 1 is true only for a =1 .

(ii) a \div (-1) = - a

Taking, a =1; 1\div (-1) = -1

a =2; 2\div (-1) = -2

a =-1; (-1)\div (-1) = 1

Hence, this is true for every integer.

NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1

1. Following number, line shows the temperature in degree celsius (°C) at different places on a particular day.

1643863844004

(a) Observe this number line and write the temperature of the places marked on it.

(b) What is the temperature difference between the hottest and the coldest places among the above?

(c) What is the temperature difference between Lahulspiti and Srinagar?

(d) Can we say the temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?

Answer:

(a) The temperature of the places in degree Celsius (°C) marked on it are :

1643863874372

Places Temperature
Lahaul Spiti -8^{\circ} C
Srinagar -2^{\circ} C
Shimla 5^{\circ} C
Ooty 14^{\circ} C
Bangalore 22^{\circ} C

(b) The hottest temperature is 22^{\circ} C and coldest is -8^{\circ} C

The temperature difference between them = [22-(-8)]^{\circ} C = (22+8)^{\circ} C = 30^{\circ} C

(c) The temperatures at Lahulspiti is -8^{\circ} C and Srinagar is -2^{\circ} C

The temperature difference between Lahulspiti and Srinagar is = [(-2)-(-8)]^{\circ} C = (-2+8)^{\circ} C = 6^{\circ} C

(d) The temperatures at Srinagar is -2^{\circ} C and Shimla is 5^{\circ} C

The temperature of Srinagar and Shimla took together = [(-2)+5]^{\circ} C = 3^{\circ} C

which is less than the temperature of Shimla.

But, it is not less than the temperature at Srinagar.

3. At Srinagar temperature was – 5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?

Answer: The temperature of Srinagar on Monday = -5^{\circ} C

According to question,

The temperature of Tuesday = [(-5)-2]^{\circ} C

\therefore The temperature of Srinagar on Tuesday = [(-5)-2]^{\circ} C = -8^{\circ} C

Again, according to question

The temperature of Wednesday= [(-8)+4]^{\circ} C

\therefore The temperature of Srinagar on Wednesday = [(-8)+4]^{\circ} C = -4^{\circ} C

4. A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?

Answer: The plane is flying at the height of 5000 m above the sea level

The distance of the plane from sea level = 5000\ m

Also, the submarine floating 1200 m below the sea level

The distance of the submarine from sea level = -1200\ m

Distance between them = [5000-(-1200)]\ m

6200\ m

5. Mohan deposits Rs 2,000 in his bank account and withdraws Rs 1,642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan’s account after the withdrawal.

Answer: Given,

The amount deposited in the bank account = Rs.\ 2000

Amount withdrawn from bank account is= Rs.\ 1642

Balance in account = Amount deposited in bank account + Amount withdrawn from the bank account

\\ = 2000 + (-1642) \\ = 2000 - 1642 \\ = 358

Therefore, the balance in Mohan’s account after the withdrawal is Rs.\ 358

6. Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A? 1643863911868

Answer: We will represent the distance travelled towards west with negative integer.

Distance travelled towards east = 20\ km

Distance travelled towards west = 30\ km

Distance travelled from A = [20+(-30)]\ km

-10\ km

As the distance is negative, so final position of Rita from A is towards the west direction.

7(i). In a magic square each row, column and diagonal have the same sum. Check if the following is a magic square.

5 -1 -4
-5 -2 7
0 3 -3



Answer: Taking Rows-

5-1-4 = 0

-5-2+7 = 0

0+3-3 = 0

Taking Columns-

5-5+0 = 0

-1-1+3 = 0

-4+7-3 = 0

Taking Diagonals-

-4-2+0 = -6

5-2-3 = 0

As the sum of one of the diagonals is not equal to 0, it is not a magic square.

7 (ii). In a magic square each row, column and diagonal have the same sum. Check if the following is a magic square.

1 -10 0
-4 -3 -2
-6 4 -7




Answer: Taking Rows-

1-10+0 = -9

-4-3-2 = -9

-6+4-7= -9

Taking Columns-

1-4-6=-9

-10-3+4 = -9

0-2-7= -9

Taking Diagonals-

0-3-6= -9

1-3-7=-9

As the sum of all the rows, columns and diagonals are equal, this is a magic square.

8. Verify a - (-b) = a + b for the following values of a and b.

(i) a = 21, b = 18

(ii) a = 118, b = 125

(iii) a = 75, b = 84

(iv) a = 28, b = 11

Answer:

(i) a = 21, b = 18

L.H.S = a-(-b) = 21-(-18)

= 21+18 = 39

R.H.S = a+b= 21+18 = 39

\therefore L.H.S = R.H.S

Hence verified.

(ii) a = 118, b = 125

L.H.S = a-(-b) = 118-(-125)

= 118+125 = 243

R.H.S = a+b= 118+125 = 243

\therefore L.H.S = R.H.S

Hence verified.

(iii) a = 75, b = 84

L.H.S = a-(-b) = 75-(-84)

= 75+84 = 159

R.H.S = a+b= 75+84 = 159

\therefore L.H.S = R.H.S

Hence verified.

(iv) a = 28, b = 11

L.H.S = a-(-b) = 28-(-11)

= 28+11 = 39

R.H.S = a+b= 28+11 = 39

\therefore L.H.S = R.H.S

Hence verified.

9. Use the sign of >, < or = in the box to make the statements true.

(a) (– 8) + (– 4)1643864041199 (–8) – (– 4)

(b) (– 3) + 7 – (19)1643864040488 15 – 8 + (– 9)

(c) 23 – 41 + 11 1643864041523 23 – 41 – 11

(d) 39 + (– 24) – (15)1643864040883 36 + (– 52) – (– 36)

(e) – 231 + 79 + 51 1643864040124 –399 + 159 + 81

Answer:

(Note: On a number line, the number on the right is greater than a number towards its left.)

(a) (– 8) + (– 4) 1643864219651 (–8) – (– 4)

L.H.S = (- 8) + (- 4) = -8-4 = -12

R.H.S = (- 8) - (- 4) = -8+4 = -4

Clearly, R.H.S > L.H.S(b) (– 3) + 7 – (19) 1643864219312 15 – 8 + (– 9)

L.H.S = (- 3) + 7 - (19) = 4-19 = -15

R.H.S = 15 - 8 + (- 9) = 7-9= -2

Clearly, R.H.S > L.H.S

(c) 23 – 41 + 11 1643864219005 23 – 41 – 11

L.H.S = 23 - 41 + 11 = -18+11= -7

R.H.S = 23 - 41 - 11 = -18-11= -29

Clearly, L.H.S > R.H.S

(d) 39 + (– 24) – (15) 1643864218313 36 + (– 52) – (– 36)

L.H.S = 39 + (- 24) - (15) = 39-24-15 = 15-15 = 0

R.H.S = 36 + (- 52) - (- 36) = 36-52+36 = -16+36 = 20

Clearly, R.H.S > L.H.S


(e) – 231 + 79 + 51 1643864218659 –399 + 159 + 81

L.H.S = - 231 + 79 + 51 = -152+51 =-101

R.H.S = -399 + 159 + 81=-240+81 = -159

Clearly, L.H.S > R.H.S

10.(i) A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?

Answer: Let the number of steps moved down be represented by positive integers and the number of steps moved up by negative integers.

Given,

Monkey is at the step = 1

Now,

The step after:

1 st jump = 1 + 3 = 4

2 nd jump = 4 + (-2) = 2

3 rd jump = 2 + 3 = 5

4 th jump = 5 + (-2) = 3

5 th jump = 3 + 3 = 6

6 th jump = 6 + (-2) = 4

7 th jump = 4 + 3 = 7

8 th jump = 7 + (-2) = 5

9 th jump = 5 + 3 = 8

10 th jump = 8 + (-2) = 6

11 th jump = 6 + 3 = 9

Therefore, after 11 jumps, the monkey reaches the water level which is at the ninth step.

10.(ii) A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step?

Answer: Let the number of steps moved down be represented by positive integers and the number of steps moved up by negative integers.

Given, Monkey is at the step = 9

Now,

The step after:

1 st jump = 9 + (-4) = 5

2 nd jump = 5 + 2 = 7

3 rd jump = 7 + (-4) = 3

4 th jump = 3 + 2 = 5

5 th jump = 5 + (-4) = 1

Therefore, after 5 jumps, the monkey will reach back at the top.

10.(iii) A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following; (a) – 3 + 2 – ... = – 8 (b) 4 – 2 + ... = 8. In (a) the sum (– 8) represents going down by eight steps. So, what will the sum 8 in (b) represent?

Answer: If we represent the down steps by negative and up steps by positive then:

Moves in (i):

- 3 + 2 - 3 + 2 - 3 + 2 - 3 + 2 - 3 + 2 - 3 = -8

Also,

Moves in part (ii):

4 - 2 + 4 - 2 + 4 = 8

Therefore, the sum +8 represents going up by eight steps.

NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.2

1. Write down a pair of integers whose:
(a) sum is –7 (b) difference is –10 (c) sum is 0

Answer: A pair of integers whose:

(a) sum is –7 : -8\ \&\ 1

(b) difference is –10 : -8\ \&\ 2 : -8-2= -10

(c) sum is 0 : -9\ \&\ 9

2. (a) Write a pair of negative integers whose difference gives 8.
(b) Write a negative integer and a positive integer whose sum is –5.
(c) Write a negative integer and a positive integer whose difference is –3.

Answer:

(a) A pair of negative integers whose difference gives 8 :

-8 \ \& -16 :

= -8-(-16) = -8+16 = 8

(b) A negative integer and a positive integer whose sum is –5:

-8\ \&\ 3 :

-8 + 3 = -5

(c) A negative integer and a positive integer whose difference is –3:

-1\ \&\ 2

-1 -(2) = -1-2 = -3

3. In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?

Answer: Given,

Team A scored : -40, 10, 0

\therefore Team A's total = -40+ 10+ 0 = -30

Team B scored : 10, 0, - 40

\therefore Team B's total = 10+ 0+ (- 40)= 10-40 =-30

Therefore, both the team scored same.

Yes, we can add integers in any order.

4. Fill in the blanks to make the following statements true:
(i) (–5) + (– 8) = (– 8) + (............)
(ii) –53 + ............ = –53
(iii) 17 + ............ = 0
(iv) [13 + (– 12)] + (............) = 13 + [(–12) + (–7)]
(v) (– 4) + [15 + (–3)] = [– 4 + 15] + ............

Answer:

(i) (–5) + (– 8) = (– 8) + ( \underline{-5} )

By the commutative property a+b=b+a

(ii) –53 + \underline{0} = –53

0 is the additive identity. The number added to 0 gives the same number.
(iii) 17 + \underline{(-17)} = 0

By additive identity property.
(iv) [13 + (– 12)] + ( \underline{-7} ) = 13 + [(–12) + (–7)]

By associative property (a+b)+c=a+(b+c)
(v) (– 4) + [15 + (–3)] = [– 4 + 15] + \underline{(-3)}

By associative property (a+b)+c=a+(b+c)

NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.3

1. Find each of the following products:

(a) 3 × (–1) (b) (–1) × 225
(c) (–21) × (–30) (d) (–316) × (–1)
(e) (–15) × 0 × (–18)

Answer:

(a) 3 \times (-1) = -3

(b) (-1) \times 225 = -225

(c) (-21) \times (-30) = (21\times30) = 630

Product of two negative integers is a positive integer

(d) (-316) \times (-1) = (316\times1) = 316

(e) (-15) \times 0 \times (-18)= [(-15) \times 0] \times (-18) = 0\times (-18) = 0

1. Find each of the following products:

(f) (–12) × (–11) × (10) (g) 9 × (–3) × (– 6)

(h) (–18) × (–5) × (– 4) (i) (–1) × (–2) × (–3) × 4

(j) (–3) × (–6) × (–2) × (–1)

Answer:

Product of even number of negative integers is an even integer.

(f) \\ (-12) \times (-11) \times (10) =[ -(12\times11)]\times10 = (-132)\times10 = -1320

(g) 9 \times (-3) \times (- 6) =9 \times [(-3) \times (- 6)] = 9 \times18 = 162

(h) (-18) \times (-5) \times (-4) = (-18) \times [(-5) \times (-4)] = (-18) \times20 = -360

(i)

\\ (- 1)\times (-2) \times (-3) \times 4 = [(-1)\times (-2) ]\times [(-3) \times 4] \\ = 2\times (-12) = -24

(j)

\\ (-3) \times (-6) \times (-2) \times (-1) = [(-3) \times (-6) ]\times [(-2) \times (-1)] \\ = 18 \times2 = 36

2 (a). Verify the following:

18 × [7 + (–3)] = [18 × 7] + [18 × (–3)]

Answer:

L.H.S = 18 \times [7 + (-3)] = 18\times4 = 72

R.H.S = [18 \times 7] + [18 \times (-3)] = 126 + (-54) = 72

L.H.S = R.H.S

Hence, verified.

2 (b). Verify the following:

[(–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)]

Answer:

L.H.S =

(-21) \times [(- 4) + (- 6)] = (-21)\times(-10) = 210

R.H.S

\\ \ [(-21) \times (-4)] + [(-21) \times (- 6)] = (21\times 4) + (21\times 6) \\ =84+126 = 210

Therefore, L.H.S = R.H.S

Hence verified.

3. (i) For any integer a, what is (–1) × a equal to?
(ii) Determine the integer whose product with (–1) is
(a) –22 (b) 37 (c) 0

Answer:

(i) For any integer a, (-1) \times a = -a , i.e, the additive inverse of the given integer.

(ii) The integer whose product with (-1) gives the following are:
\\ (a)\ -22 : 22 \\ (b)\ 37 : -37 \\ (c)\ 0 : 0

6. A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?

Answer: Given,
Initial temperature = 40^{\circ}C

Also, Change in temperature per hour = -5^{\circ}C

Therefore,Change in temperature after 10 hours = (-5)\times10 = -50^{\circ}C

Hence, Final temperature = 40^{\circ}C + (-50^{\circ}C) = -10^{\circ}C

7 (i). In a class test containing 10 questions, 5 marks are awarded for every correct answer and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted.

(i) Mohan gets four correct and six incorrect answers. What is his score?

Answer: Given,

Total questions = 10

Marks for correct answer = +5

Marks for incorrect answers = -2

Marks for unattempted question = 0

According to question,

Mohan gets four correct and six incorrect answers

Total marks = 4(+5)+6(-2) = 20 -12 = 8

Therefore, Mohan scored 8 marks.

7(ii). In a class test containing 10 questions, 5 marks are awarded for every correct answer and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted.

(ii) Reshma gets five correct answers and five incorrect answers, what is her score?

Answer: Given,

Total questions = 10

Marks for correct answer = +5

Marks for incorrect answers = -2

Marks for unattempted question = 0

According to question,

Reshma gets five correct answers and five incorrect answers

Total marks = 5(+5)+5(-2) = 25 -10 = 15

Therefore, Reshma scored 15 marks.

7 (iii). In a class test containing 10 questions, 5 marks are awarded for every correct answer and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted.

(iii) Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?

Answer: Given,

Total questions = 10

Marks for correct answer = +5

Marks for incorrect answers = -2

Marks for unattempted question = 0

According to question,

Heena gets two correct and five incorrect answers.

Therefore, number of unattempted questions = 10 -7 =3

Total marks = 2(+5)+5(-2)+3(0) = 10 -10+0 = 0

Therefore, Heena scored 0 marks.

8 (a). A cement company earns a profit of Rs. 8 per bag of white cement sold and a loss of Rs. 5 per bag of grey cement sold.

(a) The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?

Answer: Given,

Profit earned by selling 1 bag of white cement = Rs.\ 8

Profit earned by selling 3000 bags of white cement= Rs.\ (3000\times8) = Rs.\ 24000

Loss on 1 bag of grey cement = -Rs.\ 5

Loss of 5000 bags of grey cement = -Rs.\( 5000\times5) = -Rs.\ 25000

Total earnings = Rs.\ 24000 -Rs.\ 25000 = -Rs.\ 1000

This means that the company incurred a loss of Rs.\ 1000

8 (b). A cement company earns a profit of Rs. 8 per bag of white cement sold and a loss of Rs. 5 per bag of grey cement sold.

(b) What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags.

Answer: Given,

Profit earned by selling 1 bag of white cement = Rs.\ 8

Loss on 1 bag of grey cement = -Rs.\ 5

\therefore Loss on 6400 bags of grey cement = -Rs.\( 6400\times5) = -Rs.\ 32000

To be neither in profit nor loss, the profit from white cement must be Rs.\ 32000

\therefore Number of white cement bags to be sold = Rs.\ 32000\div Rs.\ 8

\\ = \frac{32000}{8} \\ = 4000

Therefore the company has to sell 4000 white cement bags.

9. Replace the blank with an integer to make it a true statement.
(a) (–3) × _____ = 27 (b) 5 × _____ = –35
(c) _____ × (– 8) = –56 (d) _____ × (–12) = 132

Answer:

(a)Given, (-3) \times \_\_\_\_\ = 27

The product is positive, therefore there should be even number of negative integers.

(-3) \times \underline{(-9)}= 27

(b) Given, 5 \times \_\_\_\_\_ \ = -35
The product is negative, therefore there should be odd number of negative integers.

5 \times \underline{(-7)} = -35

(c) \_\_\_\_ \ \times (- 8) = -56

The product is negative, therefore there should be odd number of negative integers.

\underline{7}\times (- 8) = -56

(d) \_\_\_\ \times (-12) = 132

The product is positive, therefore there should be even number of negative integers.

\underline{(-11)} \times (-12) = 132

NCERT Soltions for Class 7 Maths Chapter 1 Integers Exercise 1.4

1. Evaluate each of the following:
(a) (–30) ÷ 10 (b) 50 ÷ (–5) (c) (–36) ÷ (–9)
(d) (– 49) ÷ (49) (e) 13 ÷ [(–2) + 1] (f ) 0 ÷ (–12)
(g) (–31) ÷ [(–30) + (–1)]

(h) [(–36) ÷ 12] ÷ 3 (i) [(– 6) + 5)] ÷ [(–2) + 1]

Answer: Points to keep in mind:

When we divide a negative integer by a positive integer, we first divide them as whole numbers and then put a minus sign (–) before the quotient.

When we divide a positive integer by a negative integer, we first divide them as whole numbers and then put a minus sign (–) before the quotient.

When we divide a negative integer by a negative integer, we first divide them as whole numbers and then put a positive sign (+).

(a) (-30) \div 10 = -\left (\frac{30}{10} \right ) = -3

(b) 50 \div (-5) = -\left (\frac{50}{5} \right ) = -10

(c) (-36) \div (-9) = +\left (\frac{36}{9} \right ) = 4

(d) (-49) \div 49 = -\left (\frac{49}{49} \right ) = -1

(e) 13 \div [(-2) + 1] = 13 \div (-1)= -\left (\frac{13}{1} \right ) = -13

(f ) 0 \div (-12)= -\left (\frac{0}{12} \right ) = 0

(g) (-31) \div [(-30) + (-1)] = (-31) \div (-31)= +\left (\frac{31}{31} \right ) = 1

(h)

\\ \ [(-36) \div 12] \div 3 = \left[-\left (\frac{36}{12} \right ) \right ]\div 3 \\ = (-3) \div 3= -\left (\frac{3}{3} \right ) = -1

(i)

\\ \ [(- 6) + 5] \div [(-2) + 1] = \\ = (-1) \div (-1)= +\left (\frac{1}{1} \right ) = 1

2. Verify that a \div (b + c) \neq (a\div b)+ (a\div c) for each of the following values of a , b and c .
(a) a = 12, b = – 4, c = 2 (b) a = (–10), b = 1, c = 1

Answer:

a \div (b + c) \neq (a\div b)+ (a\div c)

(a) a = 12, b = – 4, c = 2

L.H.S = \\ a \div (b + c)

\\ = 12 \div [(-4)+2] \\ = 12 \div (-2) \\ = - \left (\frac{12}{2} \right ) \\ = -6

R.H.S = (a\div b)+ (a\div c)

\\ = [12\div (-4)]+ (12\div 2) \\ = \left [-\left (\frac{12}{4} \right ) \right ] + \left (\frac{12}{2} \right ) \\ = (-3)+6 \\ = 3

Therefore. L.H.S \neq R.H.S

Hence verified.

(b) a = (–10), b = 1, c = 1

L.H.S = \\ a \div (b + c)

\\ = (-10) \div [1+1] \\ = (-10) \div 2 \\ = - \left (\frac{10}{2} \right ) \\ = -5

R.H.S = (a\div b)+ (a\div c)

\\ = [(-10)\div 1]+ ((-10)\div 1) \\ = \left [-\left (\frac{10}{1} \right ) \right ] + \left [-\left (\frac{10}{1} \right ) \right ] \\ = (-10)+(-10) \\ = -20

Therefore. L.H.S \neq R.H.S

Hence verified.

3. Fill in the blanks:
(a) 369 ÷ _____ = 369 (b) (–75) ÷ _____ = –1
(c) (–206) ÷ _____ = 1 (d) – 87 ÷ _____ = 87
(e) _____ ÷ 1 = – 87 (f) _____ ÷ 48 = –1
(g) 20 ÷ _____ = –2 (h) _____ ÷ (4) = –3

Answer:

(a) Given, 369 \div \underline{\ \ \ \ \ \ } = 369

A number divided by 1 gives the number itself.

369 \div \underline{1} = 369


(b) (-75) \div \underline{\ \ \ \ \ } = -1

The product is negative, therefore there must be odd number of negative integers.

(-75) \div \underline{75} = -1

(c) (-206) \div \underline{\ \ \ \ }= 1

A number divided by itself gives 1

(-206) \div \underline{(-206)}= 1

(d) (-87) \div \underline{\ \ \ \ }= 87

The product is positive, therefore there must be even number of negative integers.

(-87) \div \underline{(-1) }= 87

(e) \underline{\ \ \ \ } \div 1 = - 87

A number divided by 1 gives the number itself.

\underline{(-87)} \div 1 = - 87

(f) \underline{\ \ \ \ \ } \div 48 = -1

The product is negative, therefore there must be odd number of negative integers.

\underline{(-48)} \div 48 = -1

(g) 20\div \underline{\ \ \ \ \ } = -2

The product is negative, therefore there must be odd number of negative integers.

20\div \underline{(-10)} = -2

(h) \underline{\ \ \ \ \ } \div (4) = -3

The product is negative, therefore there must be odd number of negative integers.

\underline{\left (\frac{-4}{3} \right ) } \div (4) = -3

5. The temperature at 12 noon was 10°C above zero. If it decreases at the rate of 2°C per hour until midnight, at what time would the temperature be 8°C below zero? What would be the temperature at mid-night?

Answer: Given,

The temperature at 12 noon = 10^{\circ}C

Final temperature = -8^{\circ}C

\therefore The decrease in temperature = 10 - (-8) = 18^{\circ}C

Time taken for the temperature to decrease by 2^{\circ}C = 1\ hour

\therefore Time taken for the temperature to decrease by 18^{\circ}C =

=\frac{1}{2}\times18\ hour

= 9\ hours

Now,

Time until midnight = 12\ hours

\therefore The decrease in temperature in 12\ hours = 2\times12 = 24^{\circ}C

Therefore, the temperature at midnight = (10 - 24)^{\circ}C = -14^{\circ}C

Therefore, the temperature at mid-night will be 14^{\circ}C below zero.

6. In a class test (+ 3) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

Answer: Given,

Marks for every correct answer = +3

Marks for every wrong answer = - 2

(i) According to question,

Marks obtained by Radhika = 20

Number of correct answers = 12

\therefore Marks obtained for correct answers = 12\times3 = 36

\therefore Marks obtained for incorrect answers = Total marks – Marks obtained for correct answers

\\ = 20 - 36 \\= - 16

\therefore Number of incorrect answers = (-16)\div (-2)

\\ = \frac{16}{2} \\ = 8

Therefore, Radhika attempted 8 questions incorrectly.

(ii)

According to question,

Marks obtained by Mohini = -5

Number of correct answers = 7

\therefore Marks obtained for correct answers = 7\times3 = 21

\therefore Marks obtained for incorrect answers = Total marks – Marks obtained for correct answers

\\ = (-5) - 21 \\= - 26

\therefore Number of incorrect answers = (-26)\div (-2)

\\ = \frac{26}{2} \\ = 13

Therefore, Mohini attempted 13 questions incorrectly.

7. An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach – 350 m.

Answer: Given,

Initial height = 10\ m

Final depth = -350\ m

\therefore Total distance the elevator has to descend = Final position - Initial position

= |(-350) - 10| = 360 \ m

Also,

Time the elevator takes to descend 6\ m = 1\ min

\therefore Time the elevator takes to descend 360\ m =

\frac{1}{60}\times360\ min = 60\ min

= 1\ hour

Integers Class 7 Maths Chapter 1 - Topics

Here Students can find all the topics that are discussed in this chapter, integers class 7.

  • 1.1 Introduction
  • 1.2 Recall
  • 1.3 Properties of Addition and Subtraction of Integers
  • 1.3.1 Closure under Addition
  • 1.3.2 Closure under Subtraction
  • 1.3.3 Commutative Property
  • 1.3.4 Associative Property
  • 1.3.5 Additive Identity
  • 1.4 Multiplication of Integers
  • 1.4.1 Multiplication of a Positive and a Negative Integers
  • 1.4.2 Multiplication of two Negative Integers
  • 1.4.3 Product of three or more Negative Integers
  • 1.5 Properties of Multiplication of Integers
  • 1.5.1 Closure under Multiplication
  • 1.5.2 Commutativity of Multiplication
  • 1.5.3 Multiplication by Zero
  • 1.5.4 Multiplicative Identity
  • 1.5.5 Associativity for Multiplication
  • 1.5.6 Distributive Property
  • 1.5.7 Making Multiplication Easier
  • 1.6 Division of Integers
  • 1.7 Properties of Division of Integers

NCERT Solutions for Class 7 Maths Chapter - Wise

Key Features Of NCERT Solutions for Class 7 Maths Chapter 1

Comprehensive Coverage: NCERT Solutions for class 7 maths ch 1 provide comprehensive coverage of the chapter's topics, ensuring that all concepts are explained thoroughly.

Step-by-Step Solutions: The solutions for integers questions for class 7 are presented in a step-by-step manner, making it easier for students to understand the process of solving mathematical problems.

Clarity and Accuracy: The class 7 maths ch 1 solution are written in a clear and accurate manner, ensuring that students can follow the explanations easily.

NCERT Solutions for Class 7 Subject Wise

Also Check NCERT Books and NCERT Syllabus here:

Frequently Asked Question (FAQs)

1. Where can I find the precise answer key for NCERT Solutions for Class 7 Maths Chapter 1?

You can obtain the precise PDF format solutions for NCERT Solutions for Class 7 Maths Chapter 1 at BYJU’S. The Mathematics experts at Careers360 have meticulously designed these accurate NCERT Textbook Solutions for the chapter. These solutions are tailored to align with the new pattern of CBSE, ensuring that students acquire comprehensive knowledge to excel in their exams. Students can practice class 7 maths chapter 1 exercise 1.1 solutions as well to get command on the concepts.

2. Do I need to solve every problem given in the NCERT Solutions for Class 7 Maths Chapter 1?

Indeed, these questions hold significant importance in terms of the exam. Expertly solved, they assist students in easily tackling the exercises. These solutions aid in acquainting students with the concept of integers. You can access the solutions in PDF format on the Careers360 website.

3. How many exercise in NCERT solution Class 7 Maths Chapter Integers?

There are 4 exercises in NCERT solution Class 7 Maths Integers. practice these exercise to get command on the concepts also students can study ncert solutions for class 7 maths chapter 1 pdf both online and offline mode according to suitability of the students. Above in this article studnets can find class 7 maths chapter 1 exercise 1.1 solutions as well as for other exercise.

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2.45×10−3 kg

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Option 1)

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Option 2)

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Option 1)

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6.023 × 1022

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Transportation Planner

A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.

3 Jobs Available
Plumber

An expert in plumbing is aware of building regulations and safety standards and works to make sure these standards are upheld. Testing pipes for leakage using air pressure and other gauges, and also the ability to construct new pipe systems by cutting, fitting, measuring and threading pipes are some of the other more involved aspects of plumbing. Individuals in the plumber career path are self-employed or work for a small business employing less than ten people, though some might find working for larger entities or the government more desirable.

2 Jobs Available
Construction Manager

Individuals who opt for a career as construction managers have a senior-level management role offered in construction firms. Responsibilities in the construction management career path are assigning tasks to workers, inspecting their work, and coordinating with other professionals including architects, subcontractors, and building services engineers.

2 Jobs Available
Urban Planner

Urban Planning careers revolve around the idea of developing a plan to use the land optimally, without affecting the environment. Urban planning jobs are offered to those candidates who are skilled in making the right use of land to distribute the growing population, to create various communities. 

Urban planning careers come with the opportunity to make changes to the existing cities and towns. They identify various community needs and make short and long-term plans accordingly.

2 Jobs Available
Highway Engineer

Highway Engineer Job Description: A Highway Engineer is a civil engineer who specialises in planning and building thousands of miles of roads that support connectivity and allow transportation across the country. He or she ensures that traffic management schemes are effectively planned concerning economic sustainability and successful implementation.

2 Jobs Available
Environmental Engineer

Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems. 

2 Jobs Available
Naval Architect

A Naval Architect is a professional who designs, produces and repairs safe and sea-worthy surfaces or underwater structures. A Naval Architect stays involved in creating and designing ships, ferries, submarines and yachts with implementation of various principles such as gravity, ideal hull form, buoyancy and stability. 

2 Jobs Available
Orthotist and Prosthetist

Orthotists and Prosthetists are professionals who provide aid to patients with disabilities. They fix them to artificial limbs (prosthetics) and help them to regain stability. There are times when people lose their limbs in an accident. In some other occasions, they are born without a limb or orthopaedic impairment. Orthotists and prosthetists play a crucial role in their lives with fixing them to assistive devices and provide mobility.

6 Jobs Available
Veterinary Doctor
5 Jobs Available
Pathologist

A career in pathology in India is filled with several responsibilities as it is a medical branch and affects human lives. The demand for pathologists has been increasing over the past few years as people are getting more aware of different diseases. Not only that, but an increase in population and lifestyle changes have also contributed to the increase in a pathologist’s demand. The pathology careers provide an extremely huge number of opportunities and if you want to be a part of the medical field you can consider being a pathologist. If you want to know more about a career in pathology in India then continue reading this article.

5 Jobs Available
Speech Therapist
4 Jobs Available
Gynaecologist

Gynaecology can be defined as the study of the female body. The job outlook for gynaecology is excellent since there is evergreen demand for one because of their responsibility of dealing with not only women’s health but also fertility and pregnancy issues. Although most women prefer to have a women obstetrician gynaecologist as their doctor, men also explore a career as a gynaecologist and there are ample amounts of male doctors in the field who are gynaecologists and aid women during delivery and childbirth. 

4 Jobs Available
Oncologist

An oncologist is a specialised doctor responsible for providing medical care to patients diagnosed with cancer. He or she uses several therapies to control the cancer and its effect on the human body such as chemotherapy, immunotherapy, radiation therapy and biopsy. An oncologist designs a treatment plan based on a pathology report after diagnosing the type of cancer and where it is spreading inside the body.

3 Jobs Available
Audiologist

The audiologist career involves audiology professionals who are responsible to treat hearing loss and proactively preventing the relevant damage. Individuals who opt for a career as an audiologist use various testing strategies with the aim to determine if someone has a normal sensitivity to sounds or not. After the identification of hearing loss, a hearing doctor is required to determine which sections of the hearing are affected, to what extent they are affected, and where the wound causing the hearing loss is found. As soon as the hearing loss is identified, the patients are provided with recommendations for interventions and rehabilitation such as hearing aids, cochlear implants, and appropriate medical referrals. While audiology is a branch of science that studies and researches hearing, balance, and related disorders.

3 Jobs Available
Hospital Administrator

The hospital Administrator is in charge of organising and supervising the daily operations of medical services and facilities. This organising includes managing of organisation’s staff and its members in service, budgets, service reports, departmental reporting and taking reminders of patient care and services.

2 Jobs Available
Actor

For an individual who opts for a career as an actor, the primary responsibility is to completely speak to the character he or she is playing and to persuade the crowd that the character is genuine by connecting with them and bringing them into the story. This applies to significant roles and littler parts, as all roles join to make an effective creation. Here in this article, we will discuss how to become an actor in India, actor exams, actor salary in India, and actor jobs. 

4 Jobs Available
Acrobat

Individuals who opt for a career as acrobats create and direct original routines for themselves, in addition to developing interpretations of existing routines. The work of circus acrobats can be seen in a variety of performance settings, including circus, reality shows, sports events like the Olympics, movies and commercials. Individuals who opt for a career as acrobats must be prepared to face rejections and intermittent periods of work. The creativity of acrobats may extend to other aspects of the performance. For example, acrobats in the circus may work with gym trainers, celebrities or collaborate with other professionals to enhance such performance elements as costume and or maybe at the teaching end of the career.

3 Jobs Available
Video Game Designer

Career as a video game designer is filled with excitement as well as responsibilities. A video game designer is someone who is involved in the process of creating a game from day one. He or she is responsible for fulfilling duties like designing the character of the game, the several levels involved, plot, art and similar other elements. Individuals who opt for a career as a video game designer may also write the codes for the game using different programming languages.

Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.

3 Jobs Available
Radio Jockey

Radio Jockey is an exciting, promising career and a great challenge for music lovers. If you are really interested in a career as radio jockey, then it is very important for an RJ to have an automatic, fun, and friendly personality. If you want to get a job done in this field, a strong command of the language and a good voice are always good things. Apart from this, in order to be a good radio jockey, you will also listen to good radio jockeys so that you can understand their style and later make your own by practicing.

A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.

3 Jobs Available
Choreographer

The word “choreography" actually comes from Greek words that mean “dance writing." Individuals who opt for a career as a choreographer create and direct original dances, in addition to developing interpretations of existing dances. A Choreographer dances and utilises his or her creativity in other aspects of dance performance. For example, he or she may work with the music director to select music or collaborate with other famous choreographers to enhance such performance elements as lighting, costume and set design.

2 Jobs Available
Videographer
2 Jobs Available
Multimedia Specialist

A multimedia specialist is a media professional who creates, audio, videos, graphic image files, computer animations for multimedia applications. He or she is responsible for planning, producing, and maintaining websites and applications. 

2 Jobs Available
Social Media Manager

A career as social media manager involves implementing the company’s or brand’s marketing plan across all social media channels. Social media managers help in building or improving a brand’s or a company’s website traffic, build brand awareness, create and implement marketing and brand strategy. Social media managers are key to important social communication as well.

2 Jobs Available
Copy Writer

In a career as a copywriter, one has to consult with the client and understand the brief well. A career as a copywriter has a lot to offer to deserving candidates. Several new mediums of advertising are opening therefore making it a lucrative career choice. Students can pursue various copywriter courses such as Journalism, Advertising, Marketing Management. Here, we have discussed how to become a freelance copywriter, copywriter career path, how to become a copywriter in India, and copywriting career outlook. 

5 Jobs Available
Journalist

Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.

3 Jobs Available
Publisher

For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

3 Jobs Available
Vlogger

In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion. 

Ever since internet costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the article. 

3 Jobs Available
Editor

Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

3 Jobs Available
Linguist

Linguistic meaning is related to language or Linguistics which is the study of languages. A career as a linguistic meaning, a profession that is based on the scientific study of language, and it's a very broad field with many specialities. Famous linguists work in academia, researching and teaching different areas of language, such as phonetics (sounds), syntax (word order) and semantics (meaning). 

Other researchers focus on specialities like computational linguistics, which seeks to better match human and computer language capacities, or applied linguistics, which is concerned with improving language education. Still, others work as language experts for the government, advertising companies, dictionary publishers and various other private enterprises. Some might work from home as freelance linguists. Philologist, phonologist, and dialectician are some of Linguist synonym. Linguists can study French, German, Italian

2 Jobs Available
Public Relation Executive
2 Jobs Available
Travel Journalist

The career of a travel journalist is full of passion, excitement and responsibility. Journalism as a career could be challenging at times, but if you're someone who has been genuinely enthusiastic about all this, then it is the best decision for you. Travel journalism jobs are all about insightful, artfully written, informative narratives designed to cover the travel industry. Travel Journalist is someone who explores, gathers and presents information as a news article.

2 Jobs Available
Welding Engineer

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues. 

5 Jobs Available
QA Manager
4 Jobs Available
Quality Controller

A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product. 

A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

3 Jobs Available
Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

3 Jobs Available
Production Manager
3 Jobs Available
Merchandiser
2 Jobs Available
QA Lead

A QA Lead is in charge of the QA Team. The role of QA Lead comes with the responsibility of assessing services and products in order to determine that he or she meets the quality standards. He or she develops, implements and manages test plans. 

2 Jobs Available
Metallurgical Engineer

A metallurgical engineer is a professional who studies and produces materials that bring power to our world. He or she extracts metals from ores and rocks and transforms them into alloys, high-purity metals and other materials used in developing infrastructure, transportation and healthcare equipment. 

2 Jobs Available
Azure Administrator

An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems. 

4 Jobs Available
AWS Solution Architect

An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party. 

4 Jobs Available
QA Manager
4 Jobs Available
Computer Programmer

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available
ITSM Manager
3 Jobs Available
Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

3 Jobs Available
Information Security Manager

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack 

3 Jobs Available
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