Page 95 - ICSE Math 6

Example 6: Convert the following decimals into fractions.

(a) 14.2 (b) 24.339 (c) 0.042 (d) 75.110
142 71
Solution: (a) 14.2 = = (One digit after the decimal point, therefore one
10 5 zero in the denominator)
24339
(b) 24.339 = (Three digits after the decimal point)
1000
42 21
(c) 0.042 = = (Three digits after the decimal point)
1000 500
7511
(d) 75.110 = 75.11 = (Two digits after the decimal point)
100

EXERCISE 6.1

1. Write the decimal equivalent to the following expressions.
1 1 1 1
(a) 5×10 9×1 2×+ + + 8× (b) 9× +×
7
10 100 10 1000
1 1 1 1
(c) 7×100 3×1 5×+ + + 1× (d) 4×100 3×10 7×+ + + 5×
10 1000 10 1000

2. Determine whether the given decimals are like, unlike or equivalent.
(a) 7.92 and 14.5 (b) 21.701 and 21.71 (c) 17.35 and 17.355
(d) 27.50 and 27.500 (e) 331.91 and 3345.65 (f) 44.9 and 44.90

3. Locate the decimals 0.6, –1.3 and –2.7 on the number line.
4. Between which two integers on the number line do the following decimals lie? Write the integer
nearest to the given decimals.

(a) 0.7 (b) –0.9 (c) 10.1 (d) –5.5
5. Fill in the boxes with ‘>’, ‘<’, or ‘=’.

(a) 2.59 3.21 (b) 12.99 11.10

(c) 8.8 8.80 (d) 31.105 31.109

6. Arrange the decimals as specified.

(a) 2.109, 33.51, 34.05 and 100.9 in ascending order.
(b) 55.55, 55.5, 555.01 and 555.10 in descending order.
7. From the decimals 2.91, 0.291, 29.1 and 29.01, find the smallest and the greatest decimals.

8. Write the following decimal fractions as decimals.
9 29 7 51
(a) (b) (c) (d)
10 100 1000 1000
111 7 21 9
(e) (f) 9 (g) 11 (h) 12
100 10 1000 1000

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