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Question

Which is greater:
(a) 0.07 or 0.02
(b) 0.5 or 0.05
(c) 3.3 or 3.300

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Solution

(a)

0.07 = 0×1 + 010 + 7100

0.02 = 0×1 + 010 + 2100

The hundredth part of 0.07 is greater than that of 0.02.

Therefore,

0.07 > 0.02


(b)

0.5 = 0×1 + 510

0.05 = 0×1 + 010 + 5100

The tenth part of 0.5 is greater than that of 0.05.

Therefore,

0.5 > 0.05.


(c)

3.3 = 3×1 + 310

3.300 = 3×1 + 310 + 0100 + 01000

In this case, the numbers have same parts.

Therefore,

3.3 = 3.300


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