Question

The number of decimal places after which the decimal expansion of 23 upon 2²*5 will terminate will

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Answer 1

Given:

⇒ \frac{23}{2^2(5)}

2

2

(5)

23

To Find:

Expansion of the given number = ?

Solution:

⇒ \frac{23}{2^2(5)}

2

2

(5)

23

By opening the squares, we get

⇒ \frac{23}{2\times 2\times 5}

2×2×5

23

⇒ \frac{23}{4\times 5}

4×5

23

⇒ \frac{23}{20}

20

23

⇒ 1.151.15