## Decimal Place Value

In this page we are going to discuss about Decimal place value.Decimals are one of the types of number system in math. Decimals are also called mixed number. Because decimals are the combination of the whole number value and decimal point and decimal part values.Generally Place value represents the position of the number system. In this topic we have to discuss decimal point place values.

The following table diagram represents the place value of the decimal point values. They are described in the following manner,

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**Place value of Decimals point**

General Notation:General Notation:

The following table diagram represents the place value of the decimal point values. They are described in the following manner,

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**Teaching Place Value**in math by visiting listed websites.- Here 101 represents the tens place value of whole number system
- 10o represents the ones place value of whole number system
- ‘.’ Represents the decimal point value
- 10-1 represents the tenths place value of decimal number system
- 10-2 represents the hundredth place value of decimal number system
- 10-3 represents the thousandth place value of decimal number system
- 10-4 represents the ten thousandth place value of decimal number system

**Example Problems**

**Below are the examples on Decimal place value:**

**Example 1**: Identify the decimal place point value of the following number 18.4357

Solution:

The given decimal number is 18.4357

Here the first number 1 represents the type of whole number and its place value is tens then the original value of 1 is 1 x 10 that is 10.

Then the second number 8 represents the type of whole number and its place value is ones then the original value of 8 is 8 x 1 that is 8.

Decimal point is used to separate the whole number from the decimal number.

Then the third number 4 represents the type of decimal number and its place value is tenths then the original value of 4 is 8 x 0.1 therefore 0.4.

Then the fourth number 3 represents the type of decimal number and its place value is hundredths then the original value of 3 is 8 x 0.01 that is 0.03.

Then the fifth number 5 represents the type of decimal number and its place value is thousandths then the original value of 5 is 5 x 0.001 that is 0.005.

Then the sixth number 7 represents the type of decimal number and its place value is ten thousandths then the original value of 7 is 7 x 0.0001 that is 0.0007.

Understanding

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**Example 2**: Identify the decimal place point value of the following number 0.999999

Solution: