Question

decimal expansion of a rational number 621 by 2 cube into 3 into 5 square will terminate after how many places​

Answer 1

Given:

A rational number 621 by 2 cube into 3 into 5 square

To find:

decimal expansion of a rational number 621 by 2 cube into 3 into 5 square will terminate after how many places​

Solution:

From  given, we have,

A rational number 621 by 2 cube into 3 into 5 square

so, we have,

621/(2³ × 3 × 5²)

621 ÷ 3 = 207

= 207/(8 × 25)

207 ÷ 25 = 8.28

= 8.28/(8)

8.28 ÷ 8 = 1.035

Therefore, the decimal expansion of a rational number 621 by 2 cube into 3 into 5 square will terminate after 3 places​ (.035)