Question

W rite the following in decimal form and say
What kind of decimal expansion it has
329/400 and please tell the reason​

Answer 1

it is a non teminating decimal expansion

because the denomination factors are

only 2 and 5

and the decimal expansion= 0.8225

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Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

First of all note that a fraction is said to be terminating if 2 & 5 are the only prime factors of the denominator of the fraction

Now for the fraction

$\frac{329}{400}$

denominator is = 400

Now

$400 = 2 \times 2 \times 2 \times 2 \times 5 \times 5 = {2}^{4} \times {5}^{2}$

Since 400 has prime factors only as 2 & 5

So $\frac{329}{400}$is terminating