Question

check whether 7/8 is terminating decimal expansion or non terminating decimal expansion​

Answer 1

Step-by-step explanation:

Its terminating as 7÷8 is 0.875

Answer 2

Here we will show you how to determine if 7/8 is a terminating decimal or a non-terminating decimal.

A terminating decimal is a decimal number that has a finite number of decimals and does not go on indefinitely. We want to know if the decimal number you get when you divide the fraction 7/8 (7 ÷ 8) is terminating or non-terminating.

Here are the steps to determine if 7/8 is a terminating decimal number:

1) Find the denominator of 7/8 in its lowest form.

The greatest common factor (GCF) of 7 and 8 is 1. Convert 7/8 to its simplest form by dividing the numerator and denominator by its GCF:

  7 ÷ 1   8 ÷ 1   =   7   8    

Thus, the denominator of 7/8 in its lowest form is 8.

2) Find the prime factors of the answer in Step 1.

The prime factors of 8 are all the prime numbers that you multiply together to get 8. The prime factors of 8 are:

2 x 2 x 2

3) Determine if 7/8 is terminating

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is the case here, which means that our answer is as follows:

7/8

= terminating