Question

Without actual division, find out whether the number $\frac{27}{40}$ will have a terminating decimal expansion. Justify your answer.

Answer 1

Answer:

Step-by-step explanation:

o Find, The decimal expansion of the given number without actual division. Solution, ...

So,

Now, Multiply ans divide the number by 2³. Then,

Here 5³ × 2³ = (5×2)³ = 10³ ( By using the identity) So,

Therefore the value of the given number is 0.104.

Answer 2

Answer:

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Asked on December 26, 2019 byRupashree Kurdekar

Without actual division, classify the decimal expansion of the following numbers as terminating or non-terminating and recurring.

(i) 167

(ii) 15013

(iii) 75−11

ANSWER

(i) 16=24

167=247=24×507. So, 167 has a terminating decimal expansion.

(ii) 150=2×3×52

15013=2×3×5213

Since it is not in the form 2m×5np,15013has a non-terminating and recurring decimal expansion.

hope it help u