Question

State whether 13/280 is terminating decimal or non terminating repeating decimal expansion

Answer 1

Step-by-step explanation:

if you want to know that with division, just simply divide it and find it out.

However if without actual division is mentioned, then you need to check whether the prime factors of the denominator are in the form (2^m × 5^n)

280 = 2 × 2 × 2 × 5 × 7

= 2³ × 5 × 7

jusr because of the 7, the number 13/280 isn't terminating

To find if it's repeating or not, you need to perform actual division.

(No it is not repeating, when you divide, you should get 0.4642857143....... and more non repeating numbers)

hope this helps ☺️