State the following statement is True or False 98710500 will have terminating decimal expansion-

The correct option is A TrueTerminating decimal expansion, because 98710500=3293500=3292^2.5^3.7=472^2.5^3 ...

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Standard X

Mathematics

Terminating and Non-Terminating Decimals

State the fol...

Question

State the following statement is True or False
$\frac{987}{10500}$ will have terminating decimal expansion.

True

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False

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Solution

The correct option is A True
Terminating decimal expansion, because
$\frac{987}{10500} = \frac{329}{3500} = \frac{329}{2^{2} {.5}^{3} .7} = \frac{47}{2^{2} {.5}^{3}}$

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Question 9
Without actually performing long division, find if $\frac{987}{10500}$ will have terminating or non-terminating (repeating) decimal expansion. Give reasons for your answer.

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(i)

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(ii)

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(iii)

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(iv)

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(vi)

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State the following statement is True or False98710500 will have terminating decimal expansion.

The correct option is A TrueTerminating decimal expansion, because 98710500=3293500=32922.53.7=4722.53

State the following statement is True or False
$\frac{987}{10500}$ will have terminating decimal expansion.

The correct option is A True
Terminating decimal expansion, because
$\frac{987}{10500} = \frac{329}{3500} = \frac{329}{2^{2} {.5}^{3} .7} = \frac{47}{2^{2} {.5}^{3}}$