The decimal expansion of the rational number 14587/1250 will terminate after:
a. one decimal place
b. two decimal places
c. three decimal places
d. four decimal places

Solution:

Given, 14587/ 1250

The denominator can be written as

= 14587/2¹ 5⁴

= 14587/(10 × 5³) × 2³/2³

By further calculation

= (14587 × 8)/(10 × 1000)

So we get

= 116696/10000

= 11.6696

Therefore, it will terminate after four decimal places

✦ Try This: Find the decimal form of a rational number 10/3

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 1

NCERT Exemplar Class 10 Maths Exercise 1.1 Problem 10

The decimal expansion of the rational number 14587/ 1250 will terminate after: a. one decimal place, b. two decimal places, c. three decimal places, d. four decimal places

Summary:

The decimal expansion of the rational number 14587/ 1250 will terminate after four decimal places.

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