Place Value for Decimal Numbers | Place Values with Decimals | Place Value Chart | Mathoguide

In this video you will learn that "Place Value for Decimal Numbers | Place Values with Decimals | Place Value Chart with Mathoguide"

The decimal place value chart shows the place value of decimal numbers. We know that place value is the numerical value represented by a digit in a number. Therefore, just like the other place value charts, decimal place value charts are used to identify the correct position of all the digits in a decimal number. This chart indicates the place value of the digits that are given before the decimal point and after the decimal point. Let us learn more about the place value of decimal numbers and the decimal place value chart and solve a few examples.

A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point. For example, 4.37 is a decimal number in which 4 is the whole number part and .37 is the fractional part. It should be noted that in a decimal place value chart, the place values of all the digits are shown including the digits before the decimal point and the digits after the decimal point.

The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on. Let us read the following section to understand more about the decimal place value chart and the place value of decimals.

Decimal Place Value Chart
If we observe the decimal place value chart, it can be seen that the place values before the decimal start with ones, followed by tens, hundreds, and so on, while the place values after the decimal point start from tenths, followed by hundredths, then thousandths and so on.

Place Value of Decimal Numbers
The place value after the decimal point represents the fractional part of the number. For example, the number 0.56 is made up of 5 tenths and 6 hundredths. This can also be written as 0.56 = 0.5 + 0.06. In other words, it means, 0.56 = 5/10 + 6/100.

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