Question

Without actual division, determine 39/24
has terminating or non- terminating decimal
representation​

Answer 1

Answer:

ok here yo go

Step-by-step explanation:

Now,

24 = 2 × 2 × 2 × 3

The prime factor of 24 are 2 and 3. One of the factors is other than 2 and 5. But the rational number is not in the lowest form.

In fact  , whose denominator 8 = 2 × 2 × 2.

Therefore,  has a terminating decimal representation.

Answer 2

Step-by-step explanation:

IF A NUMBER IS TERMINATING THEN ITS DENOMINATOR CAN BE WRITTEN IN FORM OF 2^m x 5^n where m,n are whole numbers

Here, 24 can be written as 2^3 x 3^1, there is factor of 3 instead of 5 so,it is not terminating

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