Page 22 - SM Class 5 Inner.cdr

Example 16 : 55,44,222 × 0 = 0

5. Distributive Property of Multiplication Over Addition

Example 17 : 8,290 × (584 + 96) = 8,290 × 584 + 8,290 × 96 = 48,41,360 + 7,95,840 = 56,37,200

This property is helpful in multiplication of large numbers.
Multiplication by 10 and it’s multiples

We place zeros of the multiplier at the end of the multiplicand, to find the
product.

Example 18 : 2,34,527 × 10 = 23,45,270
45,435 × 100 = 4,54,33,500
2,56,461 × 1,000 = 25,64,61,000

To multiply a number by 2000, 3000 or 4000 and so on, we multiply the number
by the digit at the thousands place of the multiplier and write the three zeros on
the right of the product.

Example 19 :
(i) 735 × 6000 = (735 × 6) × 1000
= (4410) × 1000

= 4410000
(ii) 2035 × 15000 = (2035 × 15) × 1000
= (30525) × 1000
= 30525000

E xercise 2.4

1. Find the product :
a. 16,308 × 345 b. 40,915 × 628 c. 24,614 × 1908

d. 2,31,555 × 71 e. 42,321 × 1428 f. 2,34,424 × 712
g. 465680 × 306 h. 8920 × 1756

2. Find the answer :

a. 41,753 × 20 b. 6,83,215 × 400 c. 28,605 × 7000

d. 9,132 × 900 e. 49,188 × 300 f. 4,90,376 × 80
g. 5,38,210 × 60 h. 14,23,316 × 10

Division

The working of division is same as we learnt in previous class. Let us do division
of the numbers.

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Mathematics In Focus - 5