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Mathematics

Express the following in centimetres (cm) in exponential notation :

(i) 98 hm

(ii) 156 km

(iii) 371 m

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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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