## Topic outline

• ### Decimals and Decimal Place Value Chart

• Decimals

Decimal number system is a positional notation with base 10. It is used to refer to numbers that have a fractional part separated from the integer part with decimal separator. Decimals help us to write fractional numbers without writing a fraction with numerator and denominator.

Decimal Place Value Chart

In writing any number, the position of each digit is very crucial.

When we move to the right in the above place value chart, the value of digit becomes ten times smaller i.e. one tenth and when we move to the left in the chart, the value of digit becomes ten times bigger.

One – tenth

We can write it as 0.1.

0.1 = 1/10 = One - tenth

One part of 10 equal parts is one – tenth and written as 1/10 or 0.1

One – hundredth

We can write it as 0.01

0.01 = 1/100 = One - hundredth

One part of 100 equal parts is one – hundredth and written as 1/100 or 0.01

One – thousandth

We can write it as 0.001

0.001 = 1/1000 = One - thousandth

One part of 1000 equal parts is one – thousandth and written as 1/1000 or 0.001

So, 0.1, 0.01, 0.001 are decimal numbers.

Examples: