Question

without actually performing the long division state whether the following rational numbers will have a terminating decimal expansion or non-terminating repeating decimal expansion: 13/3125​

Answer 1

Step-by-step explanation:

Hi dear,

RATIONAL NUMBERS (P/Q) WHICH HAVE TERMINATING DECIMAL EXPANSION ALWAYS TEND TO HAVE Q≠0 AND FACTORS OF Q SHOULD BE IN THE POWER OF 2 , 5 OR BOTH..

13/3125

FACTORS OF 3125 = 5³×5²

WHICH ARE ALL POWERS OF 5 ,, SO THE GIVEN NO IS TERMINATING DECIMAL EXPANSION..

HOPE IT HELPS...