Question

the decimal expansion of 8/35 is terminating or not?​

Answer 1

Answer:

decimal expansion is non terminating

because the denominator is nat in the form of 2n.×5m

Answer 2

The decimal expansion of $\frac{8}{35}$ is non terminating.

Step-by-step explanation

given number : $\frac{8}{35}$

to find the decimal expansion of $\frac{8}{35}$

we have to divide this

$\frac{8}{35}$= 0.2285714285714..

on dividing 8 by 35 we get 0.2285714285714.....

we noticed that the remainders repeat  after a certain stage forcing the decimal expansion to go on for ever.

In other words ,

we have a repeating block of digits in the quotient

therfore

this decimal expansion is non terminating recurring .

hence,

The decimal expansion of $\frac{8}{35}$ is non terminating.

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