Page 210 - New Medley 5 Semester 1

Representing a Fraction in a Decimal Form

Let us recall the equivalent decimals.

3 = 3.0 = 3.00 = 3.000 = ... and 15 = 15.0 = 15.00 = 15.000 = ...

We use this concept to convert a fraction into a decimal.

15
Example 15: Convert into a decimal.
8

Solution: We have 15 = 15.000...

1 . 8 7 5

8 1 5. 0 0 0

– 8
7 0

– 6 4

6 0
– 5 6

4 0

– 4 0

0

15 15 000
.
Thus, = = 1.875
8 8

Dividing a Decimal by 10, 100, 1000, etc.

Consider the following divisions:

1427 10 1427 1 1427
.
14.27 ÷ 10 = ÷ = × = = 1427
100 1 100 10 1000
2368 100 2368 1 2368
.
236.8 ÷ 100 = ÷ = × = = 2368
10 1 10 100 1000

65 1000 65 1 65
.
6.5 ÷ 1000 = ÷ = × = = 0 0065
10 1 10 1000 10000

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