Question

987/10500 will have a
a. Terminating decimal expansion
b. Non-Terminating Non repeating decimal expansion
c. Non-Terminating repeating decimal expansion
d. None of these

Answer 1

Step-by-step explanation:

the answer will be b because it comes in large decimals

Answer 2

Answer:

Terminating decimal expansion

Step-by-step explanation:

If a fraction , in it's lowest terms , has no other prime factors except 2 and 5 it can be expressed as a terminating decimal.

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i ) first write the fraction in it's lowest terms

for that,

Write the numbers into product of prime

and find the HCF of them

987 = 3 × 7 × 47

987 = 3 × 7 × 4710500 = 2 × 2 × 3 × 5 × 5 × 5 × 7

HCF of 987 and 10500 = 3 × 7 = 21

Therefore ,

Least form of the fraction = 987 / 10500

Divide numerator and denominator with HCF,

we get,

= ( 987 / 21 ) / ( 10500 / 21 )

= 47 / 500

987 / 10500 = 47 / 500

Denominator = 500

= 2^2 × 5^2

We have only 2 and 5 as factors .

Therefore ,

987 / 10500 is terminating decimal.

I hope this helps you!!!