Question

Let x = 7/ 20* 25 be a rational number. Then x has decimal expansion, which terminates:

Answer 1

Answer:

After 3 decimal places

Step-by-step explanation:

x=7/20×25

x=7/2×2×5×5×5

x=7/2^2×5^3

Answer 2

The value of x in decimal expansion = 0.014

Step-by-step explanation:

We have,

x = $\dfrac{7}{20\times 25}$ is a rational number.

To find, the value of x in decimal expansion = ?

∴ x = $\dfrac{7}{20\times 25}$

⇒ x = $\dfrac{7}{500}$

Multiplying numerator and denominator by 2, we get

⇒ x = $\dfrac{7\times 2}{500\times 2}$

⇒ x = $\dfrac{14}{1000}$

⇒ x = 0.014

∴ The value of x in decimal expansion = 0.014

Thus, the value of x in decimal expansion = 0.014