Page 101 - ICSE Math 5

5. Express the following fractions as decimals.
5 4 12 7
(a) 29 (b) 13 (c) 146 (d) 81
10 100 1000 10
6. Convert the following decimals to fractions.

(a) 0.04 (b) 0.76 (c) 0.175 (d) 6.70 (e) 6.625 (f) 9.4

7. Write the following decimals in the expanded form.

(a) 0.67 (b) 0.891 (c) 9.3 (d) 24.56 (e) 56.259 (f) 396.99

8. Write the following in the short form.
3 2 7
(a) 2 + (b) 10 + 5 + +
10 10 100
8 6 5
(c) 7,000 + 500 + 20 + + (d) 6,000 + 50 + 1 +
10 1000 1000
7 8
(e) 200 + 30 + (f) 50 +
1000 100

9. Write the following as standard fractions and then as decimals.
(a) Five tenths (b) Six hundredths

(c) Two ones and eight tenths (d) Three tens and four tenths
(e) Nineteen and three hundredths (f) Forty-four hundredths

Types of Decimals

Equivalent Decimals

Two decimal numbers are said to be equivalent
decimals if they represent the same value. For =
example, look at the figures given alongside. It can
be seen that the shaded part of the two figures
represent the same value, i.e., 0.8 = 0.80.
8 tenths = 0.8 80 hundredths = 0.80
8 80
10 = 100 Remember

8 tenths = 80 hundredths The value of a decimal number
does not change by writing any
So, 0.8 and 0.80 are equivalent decimals as the value number of zeros after the last digit
of the decimal remains 0.8. in the decimal part.
For example, 5.4 = 5.40 = 5.400.
Like and Unlike Decimals

Decimal numbers having the same number of decimal places, i.e., the same number of digits
after the decimal point are called like decimals.
For example, 0.21, 1.31, 42.65 and 936.78 are like decimals as all of the given decimal numbers
have two digits after the decimal point.

Decimal numbers having different number of decimal places, i.e., different number of digits after
the decimal point are called unlike decimals.

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