Question

without actual division, dhore that each of the following rational numbers is a terminating decimal. express in form decimal form 15/1600​

Answer 1

Answer:

Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form. 15/1600

Step-by-step explanation:

$\frac{15}{1600} \\ \\ \frac{15}{ {2}^{6} \times \: {5}^{6} } \\ \\ \frac{15 \times {5}^{4} }{ {2}^{6} \times {5}^{6} } \\ \\ \frac{9375}{1000000} \\ = > 0.009375$

We know either 2 or 5 is not a factor of 15, so it is in its simplest form. Moreover, it is in the form of (2m × 5n ). Hence, the given rational is terminating.

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