Question

Without actually performing the long division, state whether the

rational numbers will have a terminating decimal expansion or a 50

35

non-terminating repeating decimal expansion:​

Answer 1

it will non terminating as the product of 35 can be written as 7×5

it is terminating when the denominator is in the form of

2^m×5^n

Answer 2

50 => 2 × 5 × 5

35 => 5 × 7

Therefore

===> 50 is a terminating decimal

because in the prime factorization it

contain 2 and 5 combination . As we

know that the denominations which can

be written in the form of 2m × 5n are

called terminating decimals .

===> 35 can be written as 5 × 7 so it Is

non-terminating repeating decimal .

Either it should contain total 2 or 5 or either both but not any other number then only we can call it as terminating decimal .