Question

without actually performing the long division find if 987/10500 willwill have terminating or nonterminating ( repeating ) decimal expansion .give reasons for your answer​

Answer 1

Answer:

Hey Guys!!!!!!

no

Step-by-step explanation:

take lcm of 10500

2^2*5^3*3*7

=987/2*2*5*5*5*3*7

we come to know that the number have non terminating decimal expansion

the reason is that for terminating the number should in form 2^m*5^n but 3 and 7 are also the prime factor of 10500

Hope it may help you

Answer 2

Answer:

Step-by-step explanation:

10500 = 2^2 × 3^1 × 7^1 × 5^ 2

therefore since 10500 is not of the form 2^m × 5^n,

987/10500 will be a non terminating recurring decimal.