Page 83 - Maths On the GO Class 4

66 If the denominator is 1000, write the
0.066 numerator and mark the decimal point after
1000
three places from right towards left.

Decimals as Fractions

The decimals can be represented as fractions with denominator 10, 100, 1000 etc. The
number of zeros in the denominator is equal to the number of digits after the decimal point.

Decimals Fractions Observations

105
10.5
10 To convert a decimal into a fraction, write all

14765 the digits of the given decimal without the
147.65 decimal point as the numerator of the fraction
100
and in the denominator put as many zeros to
4005 the right of 1 as the number of decimal places.
4.005
1000

Exercise 3 7 8[C]

1. Convert the following fractions into decimals :

3 62 44 5 835 17
(a) (b) (c) (d) (e) (f)
10 10 100 1000 100 10
29 55 17 67 181 77
(g) (h) (i) (j) (k) (l)
100 1000 100 10 100 10
2. Convert the following decimals into fractions :

(a) 0.3 (b) 0.49 (c) 1.36 (d) 12.571 (e) 1.376 (f) 0.042
(g) 0.002 (h) 2.010 (i) 25.415 (j) 213.568 (k) 0.843 (l) 91.01

Like decimals : The decimals in which the number of digits after the decimal point is equal
are known as like decimals.

For example : 3.42, 0.56, 12.79, 1.05 are all like decimals.

Unlike decimals : The decimals in which the number of digits after the decimal point is not
equal are known as unlike decimals.

For example : 5.6, 3.12, 4.035 are all unlike decimals.
Equivalent decimals : The unlike decimals having the same value are known as equivalent
decimals.

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