Property 1:
The order in which we multiply two numbers does not change the product.
Example 2:
7 × 6 = 42
6 × 7 = 42
Product of 6 and 7 remains the same even when their positions are changed.
6 and 7 are the factors of product 42.
Property 2:
Product of a number and 1 is the number itself.
Example 3:
3 × 1 = 3 24 × 1 = 24 65 × 1 = 65 73 × 1 = 73
Property 3:
Product of a number and zero is always zero.
Example 4:
4 × 0 = 0 65 × 0 = 0 212 × 0 = 0 349 × 0 = 0
Property 4:
When two or more numbers are multiplied together, the order in which they are grouped and multiplied does not change the product.
Example 5:
Find the product of 5, 6 and 7.
First way:
(5 × 6) × 7 = 30 × 7 = 210
Second way:
5 × (6 × 7) = 5 × 42 = 210
From the above example, it is clear that the order in which we find the product of more than two numbers does not change the product.
Try to make one more combination of the above factors to find the product? Did you get a different product?
Exercise 5.1
A. Fill in the blanks.
| 1. Multiplicand ⨯ multiplier = ____ | 7. (5 ⨯ 7) ⨯ 8 = 5 ⨯ (7 ⨯ ____) |
| 2. Multiplicand and multiplier are also known as ____ | 8. 75 ⨯ 0 = ____ |
| 3. 6 ⨯ 4 = 4 ⨯ ____ | 9. 68 ⨯ 1 = ____ |
| 4. 54 ⨯ 2 = 2 ⨯ ____ | 10. 14 ⨯ 78 ⨯ 21 = 78 ⨯ 21 ⨯ ____ |
| 5. 86 ⨯ 1 = ____ | 11. 141 ⨯ 44 ⨯ 1 = 44 ⨯ ____ |
| 6. 47 ⨯ 1 = ____ | 12. 60 ⨯ 1 = ____ |
