Question

state whether 7/80 will have a terminating or non terminating decimal expansion

Answer 1

Hey mate!

Here is yr answer....


Terminating decimal :
~~~~~~~~~~~~~~~~~~

If the denomirator is in the form of 2^m × 5^n...then it is said to be a terminating decimal!


=> 7/80

= 7/2^4 × 5¹

by multiplying with 5³

= 7×5³/2^4×5¹×5³

= 7×125/2^4×5^4

= 875/(2×5)^4

= 875/10^4

= 875/10000

= 0.0875



Hope it helps...


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