Decimal Place Value

Decimal place value is the place value of a digit in a decimal number with respect to a dot, known as the decimal point. The decimal point divides such a number into two parts – whole number and fractional part. The point helps us identify the place values of each digit in a decimal number based on their respective positions. The diagram below shows how a decimal point represents the place values of a digit in a decimal number .

A universal decimal place value chart is used according to the international numeral system to align the digits in a decimal number accurately as per their positional values. The chart below helps us to identify the place values of digits in a decimal number till millionths.

Given is a blank printable version of the above place value chart for your use.

Let us place the the decimal number 9273.5841 in the above given place value chart. Here, the whole number part is 9273 and the fractional part is 5841. The place values of:

• 3 is (3 × 1) = 3
• 7 is (7 × 10) = 70
• 2 is (2 × 100) = 200
• 9 is (9 × 1000) = 9000
• 5 is (5/10) = 0.5,
• 8 is (8/100) = 0.08
• 4 is (4/1000) = 0.004
• 1 is (1/10000) = 0.0001

The diagram below demonstrates the place values of the decimal number 9273.5841 graphically.

Let us solve some more examples to understand the concept better.

Solved Examples

Find the place value for the underlined digits in 23862.1267 .

Solution:

The place value of 3 is at the thousands place. So its place value is 3000
The place value of 1 is at the tenths place. So its place value is 0.1
The place value of 7 is at the ten thousandths place. So its place value is 0.0007

Write the place value for the digits 4, 9, 1 and 7 in 459052.20176 according to the place value chart.

Solution:

The place value of 4 is at the hundred thousands place. So its place value is 400,000
The place value of 9 is at the thousands place. So its place value is 9,000
The place value of 1 is at the thousandths place. So its place value is 0.001
The place value of 7 is at the ten thousandths place. So its place value is 0.0007