Page 107 - Maths Class 05

1. The commutative property of multiplication states that the order in which you

multiply numbers does not matter as the product will be the same.
Example : 0.9 × 29 = 29 × 0.9 = 26.1

2. The associative property of multiplication states that the order in which you group

numbers in multiplication does not matter as the product will be the same.
Example : 0.4 × (0.2 × 2.4) = (0.4 × 0.2) × 2.4 = 0.192

3. The product of a decimal fraction and 1 is the decimal number itself.

Example : 1.283 × 1 = 1.283
1 × 0.067 = 0.067

4. The product of a decimal fraction and zero is zero.

Example : 891.56 × 0 = 0
0.008 × 0 = 0

5. While performing multiplication in decimals, the distributive property lets you

multiply a sum by multiplying each addend separately and then add the products.
Example : 1.02 × (2 + 0.3) = (1.02 × 2) + (1.02 × 0.3)

1.02 × 2.3 = 2.04 + 0.306

2.346 = 2.346
Thus, (1.02 × 2 + 0.3) = (1.02 × 2) + (1.02 × 0.3)

Practice - 5.7
Practice - 5.7
Practice - 5.7
Practice - 5.7
1. Multiply.

Decimal × 10 × 100 × 1000

a. 16.24

b. 2.005

c. 3.6

d. 0.519

e. 16.73

f. 3.06

g. 158.964

Mathematics-5 107