Question

without actually dividing find 3/25
is atrminating decimal or not
​

Answer 1

Answer:

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Answer 2

We have,

• to check whether the following fraction is terminating decimal or not

$\Huge \bf \: \: \: \: \:\:\frac{3}{25}$

For this,

$\text{We need to express the denominator as } \\ \rm {2}^{n} \times {5}^{m} \: \: \text{where \: m \: \& \: n \: are \: non - negative \:integers. \: }$

• If any fraction is fulfilling the situation above, then, the fraction is terminating decimal.

Now,

$\: \: \: \:\: \: \: \:\frac{3}{25} = \frac{3}{5 \times 5} = \frac{3}{ {2}^{0} \times {5}^{2} }$

So,

• 3/25 has non-negative exponent of 2 & 5 in its denominator.

Thus,

• 3/25 is terminating decimal.