Mathematics
Express the following in centimetres (cm) in exponential notation :
(i) 98 hm
(ii) 156 km
(iii) 371 m
Answer
(i) 98 hm
1 hm = 100 m and 1 m = 100 cm.
Therefore, 1 hm = 100 x 100 cm = 10000 cm.
In exponential form, 10000 = 104 cm.
98 hm = 98 x 104 cm.
Hence, the answer is 98 x 104 cm.
(ii) 156 km
1 km = 1000 m and 1 m = 100 cm.
Therefore, 1 km = 1000 x 100 cm = 100000 cm.
In exponential form, 100000 = 105 cm.
156 km = 156 x 105 cm.
Hence, the answer is 156 x 105 cm.
(iii) 371 m
1 m = 100 cm.
In exponential form, 100 = 102 cm.
371 m = 371 x 102 cm.
Hence, the answer is 371 x 102 cm.
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