Question

without division find whether given rational number are terminating decimal or not
(a)- 2/3
(b)-3/4​

Answer 1

Answer:

We know that if the denominator of a rational number has no prime factors other than 2 or 5, then it is expressible as a terminating, otherwise it has non - terminating repeating decimal representation. Thus, we will have to check the prime factors of the denominators of each of the given rational numbers.

Step-by-step explanation:

eg: first no.'s denominator does not have its prime factors as 2 or 5

3=1*3

but for the second no.'s denominator has two as one of its prime factors so it is terminating decimal

4= 2*2

Answer 2

Answer:

(a)non (b)terminating

Step-by-step explanation:

by prime factorization of denominator if it is only in the form 2power (◆) ×5power (●) then it is terminating other wise it is non terminating