Question

Without actually performing the long division state whether the following rational
numbers will have a terminating decimal expansion or a non-terminating repeating
decimal expansion:
1. 23/75​

Answer 1

Answer:

Terminating decimal expansion

Step-by-step explanation:

To check ,we need to check wheather the denominator by is divisible by 2 and 5 or both of them. If it is divisible then the answer is Terminating decimal expansion if not then non- terminating decimal expansion

Answer 2

Answer:

it is a terminating non recurring decimel

Step-by-step explanation:

now the fraction p/q is terminating if p and q are co prime and if q can be expressed as 2^m x 5^n

1.23/75 can be simplified as 0.41/25

0.41 and 25 is co-prime

25 can be expressed as 2^0 5^2

so it is a terminating non recurring decimel