Question

The decimal expansion of 14588/635 will terminate after how many decimal places

Answer 1

Answer:

It will terminate after 4 places of decimal.

Step-by-step explanation:

14588/625

The factors of the denominator

625 = 5⁴ × 2^0. So it has a terminating decimal expansion.

Now, 14588/625 = 14588 ×2⁴ / 5⁴ × 2⁴

14588/625 =14588 × 16 / (10)⁴

= 233408/10⁴

= 233408/10000

= 23.3408

It will terminate after 4 places of decimal.

Answer 2

Answer:

So, 14588/625 is the decimal terminating expansion. So, decimal expansion of given number is 23.3408.08

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