# Decimal Places

The number of digits contained in the decimal part of a given decimal number gives the number of decimal places.

Examples:

1. The number 5.76 has 2 decimal places.

2. The number 0.315 has 3 decimal places.

3. The number 86.261 has 3 decimal places.

4. The number 912.67 has 2 decimal places.

To understand about the explanation of a decimal numbers we must first know about the Place Value.

For example; let us take a decimal number 42.37

• The number is read as forty two and thirty seven hundredths or forty two point three seven.

• In the decimal number the whole number part is 42 and the decimal part is 0.37.

• In the whole number part 42

The place of 2 is ones or unit and its place value is 2 × 1 = 2.

The place of 4 is tens and its place value is 4 × 10 = 40.

• In the decimal part 0.37

The place of 3 is tenths and its place value is 3 × 1/10 = 3/10 = 0.3.

The place of 7 is hundredths and its place value is 7 × 1/100 = 7/100 = 0.07.

We can also write the number in the expanded form as 42.37 = 40 + 2 + 0.3 + 0.07

= 4 10 + 2 1 + 3/10 + 7/100

= 4 × 10 + 2 × 1 + 3/10 + 7/100 = 4 × 101 + 2 × 100 + 3 × 10-1 + 7 × 10-2

Note:

The expansion form of a decimal number is shown in three ways; we can do it in either of the ways.

Related Concept

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Comparison of Three-digit Numbers | Arrange 3-digit Numbers |Questions

Sep 13, 24 02:48 AM

What are the rules for the comparison of three-digit numbers? (i) The numbers having less than three digits are always smaller than the numbers having three digits as:

2. ### Worksheet on Three-digit Numbers | Write the Missing Numbers | Pattern

Sep 13, 24 02:23 AM

Practice the questions given in worksheet on three-digit numbers. The questions are based on writing the missing number in the correct order, patterns, 3-digit number in words, number names in figures…

3. ### 2nd Grade Place Value | Definition | Explanation | Examples |Worksheet

Sep 13, 24 01:20 AM

The value of a digit in a given number depends on its place or position in the number. This value is called its place value.

4. ### Comparison of Two-digit Numbers | Arrange 2-digit Numbers | Examples

Sep 12, 24 03:07 PM

What are the rules for the comparison of two-digit numbers? We know that a two-digit number is always greater than a single digit number. But, when both the numbers are two-digit numbers