Page 99 - Start Up Mathematics_5

Converting Decimal Fractions to Decimal Numbers

To convert decimal fractions to decimal numbers follow the given steps.

Step 1: Count the number of zeros in the denominator.
Remember
Step 2: Write the numerator and starting from right, put
the decimal point before as many digits as there are A fraction whose
denominator is 10, 100,
zeros in the denominator. If the denominator has 1,000 etc. is known as a
more zeros than the digits in the numerator, then decimal fraction.
write zeros after the decimal to equate the number
of digits.

7 42 296 34 96
Example 3: Convert (a) , (b) , (c) , (d) and (e) to decimal numbers.
10 100 1000 1000 10
7 42
Solution: (a) = 0.7 (b) = 0.42
10 100 Remember

296 34 The digits after the
(c) = 0.296 (d) = 0.034
1000 1000 decimal point should be
equal to the zeros in the
Notice the
96 denominator.
(e) = 9.6 added zero
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Converting Decimal Numbers to Fractions

To convert decimal numbers to fractions follow the given steps.
Step 1: Write the decimal number without the decimal point as the numerator.

Step 2: Write 1 followed by as many zeros as the number of digits in the decimal part as
the denominator.

Example 4: Convert (a) 0.8, (b) 0.95, (c) 0.096 and (d) 7.24 to fractions.
8 95
Solution: (a) 0.8 = (b) 0.95 =
10 100
96 724
(c) 0.096 = (d) 7.24 =
1000 100

EXERCISE 6.3

1. 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) 100 (g) 100 (h) 1000 (i) 100 (j) 1000

2. Convert the following decimal numbers to fractions.
(a) 0.4 (b) 0.8 (c) 0.11 (d) 0.36 (e) 0.02
(f) 0.048 (g) 6.23 (h) 15.009 (i) 7.264 (j) 21.08

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