Page 100 - ICSE Math 5

Converting Decimal Numbers to Fractions

To convert a decimal number to a fraction, we follow the given steps.

• Write the decimal number without the decimal point as the numerator.
• Write 1 followed by as many zeros as the number of digits in the decimal part as the
denominator.

Example 3: Convert (a) 0.8, (b) 0.95 and (c) 0.096 to fractions.
8 95 96
Solution: (a) 0.8 = (b) 0.95 = (c) 0.096 =
10 100 1000
Example 4: Convert (a) 5.09 and (b) 7.24 to fractions.
509 9 9 9
Solution: (a) 5.09 = = 5 or 5.09 = 5 + = 5
100 100 100 100
724 24 2 4 24 24
(b) 7.24 = = 7 or 7.24 = 7 + + = 7 + = 7
100 100 10 100 100 100

Expanded Form of Decimal Numbers

Example 5: Write 135.024 in the expanded form.

Solution: Short form Expanded form
135.024 = 1 hundred + 3 tens + 5 ones + 2 hundredths + 4 thousandths
2 4
= 100 + 30 + 5 + +
100 1000
= 100 + 30 + 5 + 0.02 + 0.004

Exercise 7.1

1. Write the following decimals in words.

(a) 0.9 (b) 1.06 (c) 12.015 (d) 3.246
(e) 298.58 (f) 36.297 (g) 0.004 (h) 8.65

2. Write the place value of the underlined digits.

(a) 0.47 (b) 0.163 (c) 0.297 (d) 3.18
(e) 12.16 (f) 9.359 (g) 14.5 (h) 8.962

3. For the given decimal numbers, write the integral part and the decimal part.
(a) 74.26 (b) 130.02 (c) 9,876.172 (d) 5.0028

4. Convert the following decimal fractions to decimal numbers.
15 27 132 685 2873
(a) (b) (c) (d) (e)
100 1000 1000 100 1000
9 92 308 796 7
(f) (g) (h) (i) (j)
100 100 1000 100 1000

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