Page 96 - Math Skill - 5

94 Maths

Division of a Decimal by 10, 100, 1000
Example: Divide 26.54 kg into 10 equal parts.
Solution:
0 2 .6 5 4 In shortcut way
10 2 6 .5 4
– 2 0 26.54 kg ÷ 10 = 2.654 kg
6 5
– 6 0
5 4
– 5 0
4 0
– 4 0
×

Fact-o-meter
When decimals are divided by 10, 100 1000, the value of each division will become smaller by the
number of zeroes in the divisor.

22.75 ÷ 10 = 2.275 (The decimal point has been shifted 1 place to the left.)
374.75 ÷ 100 = 3.7475 (The decimal point has been shifted 2 places to the left.)

623.25 ÷ 1000 = 0.62325 (The decimal point has been shifted 3 places to the left.)
23.25 ÷ 1000 = 023.25 ÷ 1000
= 0.02325 (An extra zero is placed to complete the extra places.)

Division of a Decimal by another Decimal

To divide a decimal by another decimal we follow these steps:

Step 1: Convert the divisor into an ordinary number by multiplying the dividend and the
divisor by 10 or 100 or 1000, etc. depending upon the number of decimal places.

Step 2: Divide the new dividend by that number.

Let’s learn through examples.

Let’s Attempt
0 .0 3 4
Example 1: Divide 0.0714 by 2.1. 21 0 .7 1 4
Solution: Converting the divisor into an ordinary number – 0
7 1
0 0714 10. × 0 714. – 6 3
= = 0.034
21 10. × 21 8 4
– 8 4

Quotient = 0.034 ×