Page 93 - classs 6 a_Neat

7 EXAMPLE 15: Express in kilograms, using decimals
EXAMPLE 12: Convert 4 into a decimal fraction. (i)2 kg 348 g (ii) 5 kg 35 g (iii) 78 g (iv) 5 g
8

SOLUTION: We have: 4 7 = 4 × 8 +7 = 39 . SOLUTION: (i) 2 kg 348 g = 2 kg+ 348 g = 2 kg + 348 kg.
8 8 8 = 2 kg + 0.348 kg= 2.348 kg. 1000

By actual division, we get:
8 39.000 7.25 35
- 32 (ii) 5 kg 35 kg = 5 kg + 35 kg = 5 kg + 1000 kg.
= 5 kg + 0.035 kg = 5.035 kg.
70
- 64 78
60 (iii) 78 g = 1000 kg= 0.078 kg.
- 50 5
40 (iv) 5 g = 1000 kg= 0.005 kg.
- 40 4 7 = 4.875
× 8 EXAMPLE 16: Express in kilometres, using decimals
(i)5 km 245 m (ii) 9 km 46 m (iii) 435 m (iv) 56 m (v) 4 m

17 SOLUTION: (i)5 km 245 m = 5 km + 245 m
EXAMPLE 15: Convert 15 into a decimal fraction.
40 245
= 5 km + km 5 km + .245 km
SOLUTION: We have: 17 15 × 40 + 17 617 1000
15 = =
40 40 40 = 5.245 km.
(ii) 9 km 46 m = 9 km + 46 m
By actual division, we get: 46
40 617.000 15.425 = 9 km + 1000 km = 9 km + .046 km
- 40
217 = 9.046 km. 435
- 200 (iii) 35 m = 1000 km= 0.435 km.
170

- 160 (iv) 56 m = 56 km = 0.056 km.
100 1000
- 80 (v) 4 m = 4 km= 0.004 km.
200 1000
- 200 15 17 = 15.425 EXAMPLE 17: Express in rupees. using decimals:
× 40 (i) ₹26 and 75 paise (ii) ₹35 and 8 paise (iii) ₹6 and 9 paise
(iv) 38 paise (v) 9 paise (vi) 104 paise
6
EXAMPLE 14: Convert into a decimal fraction. 75 6
25 SOLUTION: (i) ₹ 26 and 75 paise = ₹ 26 + ₹ (iii) ₹ 6 and 9 paise = ₹ 6 + ₹ 100
SOLUTION: By actual division, we get: 100 = ₹ 6 + ₹ 0.09 = ₹ 6.09.
25 6.00 0.24 = ₹26 + ₹0.75 = ₹ 26.75.

- 0 8 38
60 (ii) ₹ 35 and 8 paise = ₹ 35 + ₹ 100 (iv) 38 paise = ₹ 100 = ₹ 0.38.
- 50 = ₹35 + ₹ 0.08 = ₹35.08.
100 6
- 100 25 = 0.24
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