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Explain the place value of decimal.
Decimal place value:
A decimal number consists of a whole number part and a fractional part, separated by a decimal point.
Place Value of a digit:
Depending upon the position of a digit in a number, it has a value called its place value.
For example, the place value of the digit 6 in the number 1673 is 600 as 6 is in the hundreds place.
However, if we interchange the digits 6 and 7 in the number 1673, we get a new number 1763. In 1763 the place value of the digit 6 is 60 as it is in the tens place.
We can use a decimal place value chart to find the place values of the digits in a decimal number.
Thousands | Hundreds | Tens | Ones | . Decimal point | Tenths | Hundredths | Thousandths |
Whole number part Fractional part
A decimal place value chart helps to find the place value of the digits in a decimal number.
Example: Write the place value of the digits 2 and 4 in the number 326.471
First, write the number in a decimal place value chart.
Thousands | Hundreds 3 | Tens 2 | Ones 6 | . Decimal point | Tenths 4 | Hundredths 7 | Thousandths 1 |
Then, look at the place of the digit and find its place value.
The digit 2 is in the tens place. Therefore, its place value is 2 tens or 20.
The digit 4 is in the tenths place. Therefore, its place value is 4 tenths or 0.4