# NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers

**NCERT solutions for class 6 maths chapter 2 Whole Numbers** - Students looking for NCERT Class 6 Solution for Maths chapter 2 pdf can access the solutions for all topics in this article. Whole Number chapter is a part of the number system unit. Referring to NCERT 6th Maths solution chapter 2 aid to clear doubts and prepare well. CBSE NCERT solutions for class 6 maths chapter 2 are covering the solutions for the questions from every concept of NCERT. Representation and properties of whole numbers are important topics. Class 6 NCERT Maths solutions of chapter 2 are prepared as per questions available in NCERT Class 6 syllabus. There are 3 exercises in this chapter containing 38 questions. NCERT Class 6 maths solution chapter 2 contains the answer to all the 38 problems. CBSE NCERT solutions for class 6 maths chapter 2 Whole Numbers are answering to every problem related to the whole numbers. Along with all these, you can click on the link given to get NCERT solutions for other classes and subjects.

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**NCERT solutions for class 6 maths chapter 2 Whole Numbers Topic: Predecessor and Successor **

**Q1 ** Write the predecessor and successor of 19; 1997; 12000; 49; 100000.

**Answer: **The predecessor and successor of:

**19:**- Predecessor : 18
- Successor : 20

**1997:**- Predecessor : 1996
- Successor : 1998

**12000**- Predecessor : 11999
- Successor : 12001

**49:**- Predecessor : 48
- Successor : 50

**100000:**- Predecessor : 99999
- Successor : 100001

**Q2 ** Is there any natural number that has no predecessor?

**Answer: ** Every natural number has a predecessor. Although, it is interesting to know that the predecessor of 1 is not a natural number.

**Q3 ** Is there any natural number which has no successor? Is there a last natural number?

**Answer: **Every natural number has a successor. There is no last natural number. There are infinite natural numbers.

**NCERT solutions for class 6 maths chapter 2 Whole Numbers Topic: Whole Numbers **

**Q1 ** Are all natural numbers also whole numbers?

** Answer: **Yes, all the natural numbers are whole numbers. But, all whole numbers are not natural numbers.

Natural numbers = 1, 2, 3, 4, ....

Whole numbers= 1, 2, 3, 4, ....

**Q2 ** Are all whole numbers also natural numbers?

**Answer: **No, all whole numbers are not natural numbers. 0 is a whole number, but it is not a natural number.

**Q3 ** Which is the greatest whole number?

**Answer: **There are infinite whole numbers. Hence, there is no greatest whole number. Every whole number you can think of has a successor, which is greater than than the number.

**NCERT solutions for class 6 maths chapter 2 Whole Numbers Exercise: 2.1 **

**Q1 ** Write the next three natural numbers after 10999.

**Answer: ** Given, 10999

The next three natural numbers are:

10999 + 1 = 11000

10999 + 2 = 11001

10999 + 3 = 11002

**Q2 ** Write the three whole numbers occurring just before 10001.

**Answer: **Given, 10001

Three whole numbers occurring just before are:

11001 - 1 = 10000

11001 - 2 = 9999

11001 - 3 = 9998

** Q3 ** Which is the smallest whole number?

** Answer: **The smallest whole number is 0. It has no whole number predecessor.

** Q4 ** How many whole numbers are there between 32 and 53?

** Answer: **Given numbers are: 32 and 53

Number of whole numbers between 32 and 53 = (53-32) - 1 = 21 - 1 = 20

There are 20 whole numbers between 32 and 53

** Q5 ** Write the successor of :

(a) 2440701 (b) 100199 (c) 1099999 (d) 2345670

** Answer: **The successor of following numbers are:

- (a) 2440701
- (b) 100199
- (c) 1099999
- (d) 2345670

** Q6 ** Write the predecessor of :

(a) 94 (b) 10000 (c) 208090 (d) 7654321

** Answer: ** The predecessor of the following numbers are:

- (a) 94
- (b) 10000
- (c) 208090
- (d) 7654321

** Answer: ** The number on the left on the number line is smaller than the number that is on the right on the number line.

- (a) 530, 503
- is on the left.

- (b) 370, 307
- is on the left.

- (c) 98765, 56789
- is on the left.

- (d) 9830415, 10023001
- is on the left.

** Answer: **

(a) Zero is the smallest natural number. - ** False. 0 is not a natural number. **

(b) 400 is the predecessor of 399. - ** False. 400 is the successor of 399. **

(c) Zero is the smallest whole number. - ** True. **

(d) 600 is the successor of 599. - ** True **

(e) All natural numbers are the whole numbers.- ** True. **

(f) All whole numbers are natural numbers.- ** False. 0 is a whole number but not a natural number. **

(g) The predecessor of a two-digit number is never a single-digit number.- ** False. The predecessor of 10 is 9. **

(h) 1 is the smallest whole number. - ** False. 0 is the smallest whole number. **

(i) The natural number 1 has no predecessor. - ** True. **

(j) The whole number 1 has no predecessor. - ** False. The whole number 1 has 0 as its predecessor. **

(k) The whole number 13 lies between 11 and 12.- ** False. The whole number 13 lies on the right side of 12 on the number line. **

(l) The whole number 0 has no predecessor.- ** True. **

(m) The successor of a two-digit number is always a two-digit number- ** False. The successor of 99 is 100. **

** NCERT solutions for class 6 maths chapter 2 Whole Numbers Topic: Properties of Whole Numbers **

** Q ** Find : 7 + 18 + 13; 16 + 12 + 4.

** Answer:** 7 + 18 + 13; 16 + 12 + 4

** NCERT solutions for class 6 maths chapter 2 Whole Numbers Exercise: 2.2 **

** Q1 ** Find the sum by suitable rearrangement:

(a) 837 + 208 + 363 (b) 1962 + 453 + 1538 + 647

** Answer:** Sum by suitable rearrangement:

- (a) 837 + 208 + 363
- (b) 1962 + 453 + 1538 + 647

** Answer: ** The product of the following by suitable rearrangement are:

- (a)
- (b)
- (c)
- (d)
- (e)
- (f)

** Answer: **

- (a)

Using Distributive law. - (b)

Using Commutative under multiplication

Using Distributive law. - (c)

Using Distributive law. - (d)

Using distributive law.

** Answer: ** The product of the folllowing using suitable properties are:

- (a)

Using distributive law. - (b)

Using distributive law. - (c)

Using Distributive law. - (d)

Using Distributive law.

** Answer: ** Amount of petrol filled on Monday =

Amount of petrol filled on Tuesday =

Total amount of petrol =

Cost of 1 litre of petrol =

Cost of of petrol =

** Answer: **Amount of milk supplied in the morning =

Amount of milk supplied in the evening =

Total amount of petrol =

Cost of 1 litre of milk =

Cost of of milk =

** Answer: **

(i) | (c) Distributivity of multiplication over addition. |

(ii) | (a) Commutativity under multiplication. |

(iii) | (b) Commutativity under addition. |

** NCERT solutions for class 6 maths chapter 2 Whole Numbers Topic: Patterns in Whole Numbers **

** Q1 ** Which numbers can be shown only as a line?

** Answer: ** can be shown only as a line. They cannot be shown as a rectangle or square or triangle.

** Q2 ** Which can be shown as squares?

** Answer: ** and can be shown as squares.

4: 2 rows and 2 columns.

9: 3 rows and 3 columns

** Q3 ** Which can be shown as rectangles?

** Answer: ** can be shown as rectangles. (Note: We are not counting squares as rectangles here)

** Q4 ** Write down the first seven numbers that can be arranged as triangles, e.g. 3, 6, ...

** Answer: ** 3, 6, 10, 15, 21, 28, 36.

** Q5 ** Some numbers can be shown by two rectangles, for example

Give at least five other such examples.

** Answer: ** We can represent a number by two rectangles. for example 12 = 3 x 4 or 2 x 6

five other such examples are :

- 24 = 12 x 2 or 24 = 6 x 4
- 18 = 9 x 2 or 18 = 3 x 6
- 15 = 15 x 1 or 15 = 3 x 5
- 30 = 10 x 3 or 30 = 5 x 6
- 40 = 10 x 4 or 40 = 5 x 8.

** NCERT solutions for class 6 maths chapter 2 Whole Numbers Exercise: 2.3 **

** Q1 ** Which of the following will not represent zero:

(a) 1 + 0 (b) 0 × 0 (c) 0/ 2 (d) (10-10)/2

** Answer: **

- (a) 1 + 0

It does not represent zero. - (b) 0 × 0

It represents zero. - (c)

It represents zero. - (d)

It represents zero.

** Answer: ** If the product of 2 whole numbers is zero, then one of them is definitely zero.

For example, 0 x 2 = 0 and 17 x 0 = 0

If the product of 2 whole numbers is zero, then both of them may be zero.

0 x 0 = 0

However, 2 x 3 = 6 (Since numbers to be multiplied are not equal to zero, the result of the product will also be non-zero.)

**Answer: ** If the product of 2 numbers is 1, then both the numbers have to equal to 1.

For example, 1 x 1 = 1

However, 1 x 6 = 6

Clearly, the product of two whole numbers will be 1 in the situation when both numbers to be multiplied are 1.

** Q4 ** Find using distributive property :

(a) 728 101 (b) 5437 1001 (c) 824 25 (d) 4275 125 (e) 504 35

** Answer: **

- (a) 728 101= 728 (100 + 1)
- = 728 100 + 728 1
- = 72800 + 728
- = 73528

- (b) 5437 1001 = 5437 (1000 + 1)
- = 5437 1000 + 5437 1
- = 5437000 + 5437
- = 5442437

- (c) 824 25 (800 + 24) 25 = (800 + 25 - 1) 25
- =800 25+25 x 25-1 25
- = 20000 + 625 - 25
- = 20000 + 600
- = 20600

- (d) 4275 125 = (4000 + 200 + 100 - 25) 125
- = 4000 125 + 200 125 + 100 125 - 25 125
- = 500000 + 25000 + 12500 - 3125
- = 534375

- (e) 504 35 = (500 + 4) 35
- = 500 x 35 +4 35
- = 17500 + 140
- = 17640

**Answer: ** 123456 8 + 6 = 987648 + 6 = 987654

1234567 8 + 7 = 9876536 + 7 = 9876543

Yes, the pattern works.

As 123456 = 111111 + 11111 + 1111 + 111 + 11 + 1,

123456 8 = (111111 + 11111 + 1111 + 111 + 11 + 1) 8

= 111111 8 + 11111 8 + 1111 8 + 111 8 + 11 8 + 1 8

= 888888 + 88888 + 8888 + 888 + 88 + 8

= 987648

And,

123456 8 + 6 = 987648 + 6 = 987648

**NCERT Solutions for Class 6 Mathematics Chapter wise **

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Chapter - 8 | |

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#### ** NCERT Solutions for Class 6 Subject wise **

** How to use NCERT solutions for class 6 maths chapter 2 Whole Numbers? **

- Please ensure you must have done the previous chapter, then move on CBSE NCERT Class 6 Maths solution Chapter 2.
- Go through the concepts and observations given in the NCERT textbook.
- Take a look through some examples to understand the pattern to answer a specific question.
- Implement all the learning while doing the exercise problems and refer to NCERT class 6 solutions for maths chapter 2.
- While doing the exercise problem you can assist yourself by using NCERT solutions for class 6.

* Keep Working hard and happy learning! *

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