# Properties of Multiplication | Order Property |Multiplicative Property

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7 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

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