Question

Which of the following rational numbers is equivalent to a decimal that terminates?

1/3

3/8

5/6

8/9​

Answer 1

Answer:

3/8

Step-by-step explanation:

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Answer 2

$\frac{3}{8}$ is equivalent to a decimal that terminates

GIVEN:- 1/3, 3/8, 5/6, 8/9

TO FIND:- Decimal that terminates

SOLUTION:-

• A decimal number that terminates is called a terminating decimal. A terminating decimal has a finite number of decimal places.

• A Non-terminating decimal has a block of one or more digits that repeat continuously.

BY DIVIDING ALL THE GIVEN INTEGERS

$\frac{1}{3} = 0.33333333$

And 0.33333333 continues to repeat 3

$\frac{3}{8} = 0.375$

$\frac{5}{6} = 0.8333333333$

And 0.8333333 continues to repeat 3

$\frac{8}{9} = 0.88888888888$

And 0.888888888 continues to repeat 8

Whereas,

$\frac{3}{8} = 0.375$, Which means that it has finite numbers after decimal sign.

Hence, $\frac{3}{8}$ is equivalent to a decimal that terminates

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