In this area, we will find out some fascinating residential or commercial properties of reproduction.

** 1. Order Property of Multiplication: **

Look at the figures offered listed below:

3 + 3 = 6 Thus, 3 2 times is 6. So, 2 × 3 = 6 |
2 + 2 + 2 = 6 So, 3 × 2 = 6 Thus, 2 3 times is 6. |

** What do we conclude?**

We conclude that when 2 numbers are increased they might be taken in any order. The outcome stays the exact same. This is called the order home.

** More examples: ** 4 × 3 = 3 × 4, 5 × 6 = 6 × 5 etc.

** 2. Multiplicative Property of 1: **

Look at the figures offered listed below:

1 + 1 + 1 = 3 Thus, 1 3 times is 3 So, 1 * 3 = 3 Hence, 1 * 3 = 3 * 1 What do we conclude? |
Thus, 3 one is 3 So, 3 * 1 = 3 |

** What do we conclude?**

When a number is increased by 1, the response is the number itself. This is called multiplicative home of 1.

** More examples: ** 1 × 4 = 4, 1 × 8 = 8, 1 × 10 = 10 and so on

** 3. Multiplicative Property of 0: **

We understand that: 0 + 0 + 0 + 0 = 0

Thus, 0 4 times = 0

So, 0 * 4 = 0

By order home: 0 × 4 = 4 × 0

Hence, 0 × 4 = 4 × 0 = 0

Similarly, 0 + 0 + 0 + 0 + 0 = 0

Thus, 0 6 times = 0

So, 0 × 6 = 0

But, 0 × 6 = 6 × 0

Hence, 0 × 6 = 6 × 0 = 0

** What do we conclude?**

We conclude that when any number is increased by no, the item is constantly no.

** 1. Complete the empty boxes by utilizing the residential or commercial properties of reproduction: **

( i) 4 × 1 = _____

( ii) 9 × 0 = _____

( iii) 2 × 7 = _____ × 2

( iv) 5 × 0 = _____

( v) 10 × 1 = _____

( vi) 0 × 8 = _____

( vii) 3 × 5 = _____ × 3

( viii) 8 × 1 = _____

( ix) 0 × 7 = 7 × _____

( x) _____ × 13 = 13 × 6

( xi) _____ × 9 = 0

( xii) 6 × _____ = 3 × 6

** Answer: **

** 1. **( i) 1

( ii) 0

( iii) 7

( iv) 0

( v) 10

( vi) 0

( vii) 5

( viii) 8

( ix) 0

( x) 6

( xi) 0

( xii) 3

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