# 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.

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