Write the following in decimal form and say what kind of decimal expansion each has :
(i) $\frac{36}{100}$
(ii) $\frac{1}{11}$
(iii) $4 \frac{1}{8}$

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Solution

We have
$i) \frac{36}{100} = 0.36$ (Terminating decimal)

$i i) \frac{1}{11} = 0.090909....... = 0. ¯ ¯¯¯¯ ¯ 09$ (Non-terminating decimal)

$i i i) 4 \frac{1}{8} = \frac{33}{8} = 4.125$ (Terminating decimal)

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Question 1 (iii)
Write $4 \frac{1}{8}$ in decimal form and say what kind of decimal expansion it has.

Question 1 (i)
Write $\frac{36}{100}$ in decimal form and say what kind of decimal expansion it has.

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