Expanded Form of Decimals

**Category : **5th Class

Expanded form of a decimal represents the addition of place values of the digits respected to their position in the decimal. For the example: Expanded form of 315.162 is \[300+10+5+\frac{1}{10}+\frac{6}{100}+\frac{2}{1000}.\]

**Write the expanded form of the decimal 0.956 **

**Explanation**

\[0\frac{9}{10}+\frac{5}{100}+\frac{6}{1000}.\]

**Decimal Places**

The number of digits right to the point in a decimal is called decimal places of that decimal For example: In the decimal 26.345, there are three digits right to the point, therefore, the decimal 26.345 has three decimal places.

**How many decimal places does the decimal 25.26 has?**

**Explanation**

There are two digits right to the point in the decimal 25.26, thus it has two decimal places.

**Like Decimals**

The decimal having same number of digits right to the point are called like decimals.

In other words like decimals have same decimal places.

For example: 2.56, 5.48, 0.25, etc. are like decimals as they have the same number of decimal places.

**"4.56 and 256.35 are like decimals". Justify the statement.**

**Explanation**

Both the decimals 4.56 and 256.35 have two decimal places and the decimals have same number of decimal places are like decimals.

**Unlike Decimals**

Decimal numbers of different decimal places are called unlike decimals. In other word unlike decimals have different decimals places.

For example: 0.2, 1.23, 2.236 etc. are unlike decimals as they have different decimal places.

**Check, 25.36 and 5.256 like decimals or unlike decimals. **

**Explanation**

25.36 has two decimal places whereas 2.256 has three decimal places. They have the different decimal places, therefore, they are unlike decimals.

**Equivalent Decimals**

The decimals which have same value are called equivalent decimals.

For example: 2.5, 2.50, 2.500, are equivalent decimals as they have the same value.

**Write two equivalent decimals of 2.57**

**Explanation**

Two equivalent decimals of 2.57 are 2.570 and 2.5700. You may find many other equivalent decimals of 2.57 by just adding zeroes in the extreme right side of the decimal.

**Note:** If the number of zeroes is increased in the extreme right side of a decimal, the value of the decimal remains constant.

*play_arrow*Decimals*play_arrow*Introduction*play_arrow*Expanded Form of Decimals*play_arrow*Conversion of Decimals*play_arrow*Comparison of Decimals*play_arrow*Decimals and Its Operations

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