Question

Write a fraction whose equivalent decimal number is a terminating decimal. B.) Write the equivalent decimal.

Answer 1

a. 1/4
b. 0.25

think long division

4 goes into 1 zero times
4 goes into 10 2 times with 2 left over.
bring down a zero
4 goes into 20 5 times
since a decimal was needed to show the quotient being less than 1, the quotient is 0.25

Answer 2

Take fraction as
`(1)/(100)` . In decimal form, we can write this fraction as 0.01 .

Take equivalent decimal for 0.01 as 0.0100 .

Explanation:

Fraction represents parts of whole or collection .

We are required to write a fraction whose equivalent decimal number is a terminating decimal.

Take fraction as
`(1)/(100)` . In decimal form, we can write this fraction as 0.01 .

{ A decimal number is said to be terminating if it has finite number of digits after the decimal point . As 0.01 terminates after two digits, it has terminating decimal }

Now next we need to find the equivalent decimal.

Equivalent decimals are decimal numbers that are equal i.e, represent the same value .

So, we can take equivalent decimal for 0.01 as 0.0100