Question

Without actual division find which are terminatinlg decimals a)15/11 b)13/80

Answer 1

Step-by-step explanation:

NOTE:GIVEN RATIONAL NUMBER

(P/Q) IS TERMINATING ONLY WHEN

DENOMINATOR HAS THE FACTORS

AS POWERS OF 2 AND 5 NOT OTHER THAN THAT.

A.15/11

HERE 11 HAS NO FACTORS AS POWERS OF 2 AND 5,SO IT IS NOT

TERMINATING DECIMAL.

B.13/80

HERE 80 HAS FACTORS AS POWERS OF TWO AND FIVE ,SO IT IS TERMINATING DECIMAL.

$80 = {2}^{4} \times {5}^{1}$