Question

decimal expansion 7/20 is terminating or non terminating decimal expansion. explain in detail full.

please send me full in detail​

Answer 1

Answer:

It is terminating decimal.

Step-by-step explanation:

Hope it helps you!!!!

Answer 2

Given↦

$\frac{7}{20}$

To find↦

If it's decimal expansion is terminating or non-terminating.

Answer↦

★Property used:-

ㅤㅤㅤ ☞ If the denominator of a fraction can be represented in the form of ${2}^{m} \times {5}^{n}$ where m and n are non-negative integer, then the fraction will be terminating and hence a rational number.

Here,

The denominator is 20

$20 = {2}^{2} \times {5}^{1}$

Here,

m=2 and n=1

★ As the denominator ie 20 can be represented in the form of

${2}^{m} \times {5}^{n}$

7/20 is a terminating decimal and hence a rational number.

★7/20 = 0.35

Ans. TERMINATING