Question

state pure recurring decimal or mixed recurring decimal for each of the following​

Answer 1

Answer:

Definition of Mixed recurring decimal:

A decimal in which at least one of the digits after the decimal point is non-repeated and some digits are repeated is called a mixed recurring decimal.

A few solved problems are explained step-by-step with detailed explanation.

Worked-out example on mixed recurring decimal:

(a) 5/18

Mixed Recurring Decimal

= 0.2777….

For, 5/18 when 5 is divided by 18, the quotient is 0.2777... and the digit 7 is repeating.

For instance, 0.277777777777......... can also be written as 0.27

Alternatively, we can write it by placing a dot above the repeating digit 7 in the quotient.

Mixed Recurring Decimal Sign

Therefore, 5/18 is a mixed recurring decimal.

(b) 5/6

Mixed Recurring Decimal Notation

= 0.833……..

For, 5/6 when 5 is divided by 6, the quotient is 0.8333... and the digit 3 is repeating.

For instance, 0.833......... can also be written as 0.83

Alternatively, we can write it by placing a dot above the repeating digit 3 in the quotient.

Mixed Recurring Decimal

Therefore, 5/6 is a mixed recurring decimal.

(c) 111/900

Mixed Recurring Sign

= 0.12333........

For, 111/900 when 111 is divided by 900, the quotient is 0.1233... and the digit 3 is repeating.

For instance, 0.1233......... can also be written as 0.123

Alternatively, we can write it by placing a dot above the repeating digit 3 in the quotient.

Mixed Recurring

Therefore, 111/900 is a mixed recurring decimal.