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Question
Identify the greater number in each of the following:
(i) 25 or 52
(ii) 34 or 43
(iii) 35 or 53
(i) 25 or 52
(ii) 34 or 43
(iii) 35 or 53
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Solution
We have
(i) 25 = 2 × 2 × 2 × 2 × 2 = 32 and 52 = 5 × 5 = 25
Therefore, 32 > 25.
Thus, 25 > 52.
(ii) 34 = 3 × 3 × 3 × 3 = 81 and 43= 4 × 4 × 4 = 64
Therefore, 81 > 64.
Thus, 34 > 43.
(iii) 35 = 3 × 3 × 3 × 3 × 3 = 243 and 53 = 5 × 5 × 5 = 125
Therefore, 243 > 125.
Thus, 35 > 53.
(i) 25 = 2 × 2 × 2 × 2 × 2 = 32 and 52 = 5 × 5 = 25
Therefore, 32 > 25.
Thus, 25 > 52.
(ii) 34 = 3 × 3 × 3 × 3 = 81 and 43= 4 × 4 × 4 = 64
Therefore, 81 > 64.
Thus, 34 > 43.
(iii) 35 = 3 × 3 × 3 × 3 × 3 = 243 and 53 = 5 × 5 × 5 = 125
Therefore, 243 > 125.
Thus, 35 > 53.
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