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DIVISION OF DECIMALS

Division by 10, 100, 1000

Š When we divide a decimal number by 10, the decimal point shifts to the left by one place.

Examples: (a) 47.8 ÷ 10 = 4.78 (b) 93.44 ÷ 10 = 9.344

(c) 0.56 ÷ 10 = 0.056 (d) 1.27 ÷ 10 = 0.127

Š When we divide a decimal number by 100, the decimal point shifts to the left by two

places.

Examples: (a) 863.2 ÷ 100 = 8.632 Remember

(b) 52.6 ÷ 100 = 0.526 During division if there are not sufficient
numbers of digits (places), while moving
(c) 3.2 × 100 = 0.032 the decimal points towards the left, we
can put zero at the extreme left end of

(d) .2 ÷ 100 = 0.002 the decimal number to fill the gap.

Š When we divide a decimal number by 1000, the decimal point shifts to the left by
three places.

Examples: (a) 628.0 ÷ 1000 = 0.628

(b) 42.0 ÷ 1000 = 0.042

Division of a Decimal Number by a Whole Number

To divide a decimal number by a whole number, follow the following steps:

Step 1: Divide the decimal number by the whole number as usual ignoring the decimal
point.

Step 2: Put the decimal point in the quotient exactly over the decimal point in the dividend.

Example 1: Divide: (a) 35.52 by 4 (b) 21.45 by 6
Solution: (a) 8 8 8 (b) 3 5 7 5

4 3 5 5 2 6 2 1 4 5 0
– 3 2 – 1 8
Remember
3 5 3 4 When division remains
– 3 2 – 3 0 incomplete and we get

3 2 4 5 a remainder, we add
– 3 2 – 4 2 zeros to the right of
the dividend until the
0 3 0 division is complete.
– 3 0
0

Thus, 35.52 ÷ 4 = 8.88 Thus, 21.45 ÷ 6 = 3.575

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