Question

without actually performing the long division state whether the
following rational numbers decimal have a terminating decimal expansion
or a non teaminating repeating decimal espansion:
7/8
​

Answer 1

Step-by-step explanation:

6/15 has a terminating decimal expansion. Thus, 35/50 has a terminating decimal expansion. As you can see, the denominator is not in the form of 2m × 5n . Hence, 77/210 has a non-terminating decimal expansion.

Answer 2

Answer:

$\frac{7}{8} \: is \: terminating \: decimal \: expansion$

Step-by-step explanation:

$\frac{7}{8} \\ factorise \: the \: denominator \: we \: get \\ 8 = 2 \times 2 \times 2 = {2}^{3} \\ as \: denominator \: is \: in \: form \: of \: {2}^{n} \: so \\ \frac{7}{8} \: is \: terminating$

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