Question

show that each of the following is a non terminating decimals i) -3/7​

Answer 1

-3/7 has denominator other than 2or 5 hence it is non terminating

Answer 2

Step-by-step explanation:

-3/7 is in the form of a rational number ( p/q )

Rational numbers has either terminating decimal (or) non terminating ,repeating decimal

Rational number has terminating decimal when the denominator of the fraction has 2 (or) 5 as it's prime factors (or) when it can be written in the form of 2 power n or 5 power m (or) 2 power n× 5 power m

Rational number has non terminating , repeating decimal when the denominator cannot be written in the form of 2 power n or 5 power m (or) 2 power n× 5 power m

Now,

In -3/7

7 cannot be written as 2 power n or 5 power m or 2 power n × 5 power m . so it has a non terminating decimal

Hence proved

I hope this answer may help you