Question

without division check, the following rational number is terminating or non terminating 7/140, 1/2500

Answer 1

Answer:

both are terminating

step by step explanation:

to find if a rational number is terminating, its denominator should be divisible by : only 2, only 5 or both 2 and 5

$\frac{7}{140}$

the denominator is 140

$140 \div 2 = 70 \\ 140 \div 5 = 28$

It is divisible by both 2 and 5

Thus, it is a terminating number

$\frac{1}{2500}$

the denominator is 2500

$2500 \div 2 = 1250 \\ 2500 \div 5 = 500$

it is divisible by both 2 and 5

Thus, it is a terminating number

HOPE IT HELPS