Explain the place value of decimal.

Decimal place value:

A decimal number consists of a whole number part and a fractional part, separated by a decimal point.

Place Value of a digit:

Depending upon the position of a digit in a number, it has a value called its place value.

For example, the place value of the digit 6 in the number 1673 is 600 as 6 is in the hundreds place.

However, if we interchange the digits 6 and 7 in the number 1673, we get a new number 1763. In 1763 the place value of the digit 6 is 60 as it is in the tens place. 

We can use a decimal place value chart to find the place values of the digits in a decimal number. 

                               Whole number part                                                                      Fractional part

A decimal place value chart helps to find the place value of the digits in a decimal number.

Example: Write the place value of the digits 2 and 4 in the number 326.471

First, write the number in a decimal place value chart.

Then, look at the place of the digit and find its place value.

The digit 2 is in the tens place. Therefore, its place value is 2 tens or 20.

The digit 4 is in the tenths place. Therefore, its place value is 4 tenths or 0.4

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Updated on: 10-Oct-2022

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