Decimal Places

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


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


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

Related Concept


Decimal Numbers

Decimal Fractions

Like and Unlike Decimals

Comparing Decimals

Decimal Places

Conversion of Unlike Decimals to Like Decimals

Decimal and Fractional Expansion

Terminating Decimal

Non-Terminating Decimal

Converting Decimals to Fractions

Converting Fractions to Decimals

H.C.F. and L.C.M. of Decimals

Repeating or Recurring Decimal

Pure Recurring Decimal

Mixed Recurring Decimal


BODMAS/PEMDAS Rules - Involving Decimals

PEMDAS Rules - Involving Integers

PEMDAS Rules - Involving Decimals


BODMAS Rules - Involving Integers

Conversion of Pure Recurring Decimal into Vulgar Fraction

Conversion of Mixed Recurring Decimals into Vulgar Fractions

Simplification of Decimal

Rounding Decimals

Rounding Decimals to the Nearest Whole Number

Rounding Decimals to the Nearest Tenths

Rounding Decimals to the Nearest Hundredths

Round a Decimal

Adding Decimals

Subtracting Decimals

Simplify Decimals Involving Addition and Subtraction Decimals

Multiplying Decimal by a Decimal Number

Multiplying Decimal by a Whole Number

Dividing Decimal by a Whole Number

Dividing Decimal by a Decimal Number

7th Grade Math Problems

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