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On this part, we will study some fascinating properties of multiplication.

**1. Order Property of Multiplication:**

Have a look at the figures given under:

3 + 3 = 6 Thus, 3 two instances is 6. So, 2 × 3 = 6 |
2 + 2 + 2 = 6 So, 3 × 2 = 6 Thus, 2 thrice is 6. |

**What can we conclude?**

We conclude that when two numbers are multiplied they might be taken in any order. The consequence stays the identical. That is referred to as the order property.

**Extra examples:** 4 × 3 = 3 × 4, 5 × 6 = 6 × 5 and many others.

**2. Multiplicative Property of 1:**

Have a look at the figures given under:

1 + 1 + 1 = 3 Thus, 1 thrice is 3 So, 1 * 3 = 3 Therefore, 1 * 3 = 3 * 1 What can we conclude? |
Thus, 3 one is 3 So, 3 * 1 = 3 |

**What can we conclude?**

When a quantity is multiplied by 1, the reply is the quantity itself. That is referred to as multiplicative property of 1.

**Extra examples:** 1 × 4 = 4, 1 × 8 = 8, 1 × 10 = 10 and many others

**3. Multiplicative Property of 0:**

We all know that: 0 + 0 + 0 + 0 = 0

Thus, 0 4 instances = 0

So, 0 * 4 = 0

By order property: 0 × 4 = 4 × 0

Therefore, 0 × 4 = 4 × 0 = 0

Equally, 0 + 0 + 0 + 0 + 0 = 0

Thus, 0 six instances = 0

So, 0 × 6 = 0

However, 0 × 6 = 6 × 0

Therefore, 0 × 6 = 6 × 0 = 0

**What can we conclude?**

We conclude that when any quantity is multiplied by zero, the product is at all times zero.

**1. Fill within the empty containers by utilizing the properties of multiplication:**

(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

**Reply:**

**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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