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Conversion from Bigger units to Smaller units
Example 2. Convert:
a. 3 km into m b. 7 m into cm c. 4 cm into mm
d. 2 km into dam e. 6 cm 9 mm into mm f. 8 m 23 cm into cm
Solution. a. 1 km = 1000 m
3 km = (3 × 1000) m = 3000 m
b. 1 m = 100 cm
7 m = (7 × 100) cm = 700 cm
c. 1 cm = 10 mm
4 cm = (4 × 10) mm = 40 mm
d. 1 km = 100 dam
2 km = (2 × 100) dam = 200 dam
e. 6 cm 9 mm = (6 × 10) mm + 9 mm = 60 mm + 9 mm = 69 mm
f. 8 m 23 cm = (8 × 100) cm + 23 cm = 800 cm + 23 cm = 823 cm
Conversion from Smaller units to Bigger units
Example 3. Convert:
a. 4000 m into km b. 200 cm into m
c. 40 mm into cm d. 60000 dm into km
e. 223 cm into m and cm f. 7232 m into km and m
Solution. a. 1000 m = 1 km
4000 m = (4000 ÷ 1000) km = 4 km
b. 100 cm = 1 m
200 cm = (200 ÷ 100) m = 2 m
c. 10 mm = 1 cm
40 mm = (40 ÷ 10) cm = 4 cm
d. 10000 dm = 1 km
60000 dm = (60000 ÷ 10000) km = 6 km
e. 223 cm = 200 cm + 23 cm = (200 ÷ 100) m + 23 cm = 2 m 23 cm
f. 7232 m = 7000 m + 232 m = (7000 ÷ 1000) km + 232 m
= 7 km 232 m
168 Mathematics 5

