Table of 300

Table of 300

Edited By Team Careers360 | Updated on Aug 10, 2023 11:10 AM IST

Introduction

Multiplication is one of the most basic arithmetic tools, which we use in our day-to-day lives, thus, it is very important to learn to multiply at a faster rate, as we move ahead we will see some patterns by which we can easily do any multiplication, with applying as less effort as we can and there can be no better way than to practise the tables of various numbers, so as to see the different patterns emerging while working with the multiplication of numbers.

This Story also Contains
  1. Introduction
  2. Table Of 300
  3. The Pattern In Multiplication Of 300
  4. Some Problems Involving Multiples Of 300
  5. Conclusions

Here, we will see the table of 300, therefore, we will see its multiples from 1 to 10. By learning tables, one can easily use the multiplication value, without getting bothered about the actual calculation.

Table Of 300

In its ‘addition’ form, the table of 300 looks as follows

300 = 300

300 + 300 = 600

300 + 300 + 300 = 900

300 + 300 + 300 +300 = 1200

300 + 300 + 300 + 300 + 300 = 1500

300 + 300 + 300 +300 + 300 + 300 = 1800

300 + 300 + 300 +300 + 300 + 300 +300 = 2100

300 + 300 + 300 + 300 + 300 + 300 + 300 + 300 = 2400

300 + 300 + 300 + 300 + 300 + 300 + 300+ 300 + 300 = 2700

300 + 300 + 300 + 300 + 300 + 300 + 300 + 300 + 300 + 300 = 3000

In its ‘multiplication ’ form, the table of 300 looks as follows

300

x

1

=

300

300

x

2

=

600

300

x

3

=

900

300

x

4

=

1200

300

x

5

=

1500

300

x

6

=

1800

300

x

7

=

2100

300

x

8

=

2400

300

x

9

=

2700

300

x

10

=

3000


The Pattern In Multiplication Of 300

We do not need to completely remember the table of 300, as we can easily derive it if we just know the multiplication tables of 3 and 10, or 3 and 100.

Table of 100:-

100

x

1

=

100

100

x

2

=

200

100

x

3

=

300

100

x

4

=

400

100

x

5

=

500

100

x

6

=

600

100

x

7

=

700

100

x

8

=

800

100

x

9

=

900

100

x

10

=

1000


Multiplication table of 300 from multiplication table of 3 and 100:-

3

x

100

x

1

=

300

3

x

100

x

2

=

600

3

x

100

x

3

=

900

3

x

100

x

4

=

1200

3

x

100

x

5

=

1500

3

x

100

x

6

=

1800

3

x

100

x

7

=

2100

3

x

100

x

8

=

2400

3

x

100

x

9

=

2700

3

x

100

x

10

=

3000


Some Problems Involving Multiples Of 300

  1. 300 x 23.

It can be written as 300 x (20 +3) = 300 x (2 x 10 + 3) = 300 x 2 x 10 + 300 x 3 = 3 x 100 x 2 x 10 + 3 x 100 x 3 = 6000 + 900 = 6900.

` 2. 300 x 39.

We can deconstruct 39 as 30 + 9, and thus, 300 x 39 can be written as

300 x (3 x 10 + 9) = 3 x 100 x 3 x 10 + 3 x 100 x 9 = 9000 + 2700 = 11700.

3. 300 x 7.

It can directly be seen from the table, i.e., 300 x 7 = 2100.

4. 300 x 107.

Again, first, we would deconstruct 107 as 100 + 7, thus making the multiplication as

300 x (100 + 7) = 300 x 100 + 300 x 7. = 30000 + 2100. = 32100

5. 300 x 1199.

Following the methods presented above, 1199 can be equal to 1100 + 99,

which can further be broken down as 11 x 100 + 9 x 10 + 9, thus, making

our multiplication, 300 x (11 x 100 + 9 x 10 + 9), which can further be

broken down into 300 x ((10+1) x 100 + 9 x 10 + 9), which can be solved easily

if we just know the multiplication tables of 3 and 100. Thus, our multiplication becomes

300 x 10 x 100 + 300 x 1 x 100 + 300 x 9 x 10 + 300 x 9.= 300000 + 30000 + 27000 +

2700 = 359700.

Conclusions

As we can see from the multiplication table of 300, we just need to learn either the multiplication tables of 3 and 10 or 3 and 100, to answer any multiplication involving 300, which can further be generalised as we only need to learn the tables of 1 to 10, to be able to do any multiplication given we know the distribution of multiplication over addition.

Frequently Asked Questions (FAQs)

1. What is the distributivity of multiplication over addition?

It is an identity which is like this:- a × ( b + c) = a × b + a × c, i.e., for any three numbers a,b, and c, the previously written identity holds.

2. Which identity is used for making the multiplication of the big number very simple?

Distributivity of multiplication over addition is used to simplify bigger multiplications.

3. Multiply 300 by 66, showing each step.

300 x 66 = 300 x (60 + 6) = 300 x 60 + 300 x 6 = 300 x 6 x 10 + 300 x 6 = 3 x 100 x 6 x 10 + 3 x 100 x 6 = 18000 + 1800 = 19800.

4. 300 is a composite number or a prime number?

300 is a composite number, as it is an even number greater than 2, and we know that no even number other than 2 is prime.

5. Describe the meaning of multiplications in terms of addition.

Multiplying ‘a’ and ‘b’ is called ‘a’ times ‘b’, which simply means adding ‘b’ with itself ‘a’ times, i.e. b + b + b + b + … + b (‘a’ times).

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