Question

Repeating or Recurring Decimals.

Answer 1

Repeating or Recurring Decimals : A decimal in which a figure or set o figures is repeated continually is called a recurring or periodic o circulating decimal. The repeated figures or set of figures is called tht period of the decimal.

For example :

1. $\frac{1}{3}=0.333 \ldots$
2. $\frac{1}{7}=0.142857142857142857 \ldots$

Recurring is expressed by putting a bar (or dots) on the set of repeating numbers. So in the above examples

1. $0.333 \ldots=0 . \overline{3}$ (or $0 . \dot{3}$ )
2. $0.142857142857 \ldots=0 . \overline{142857}$ (or 0.142857)