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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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