Decimal Place Value
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.
| 1. | Decimal Place Value Definition |
| 2. | Decimal Place Value Chart |
| 3. | Decimal Chart to Hundredths |
| 4. | FAQs on Decimal Place Value |
Decimal Place Value Definition
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.
Now, if we need to find the place value of the digits in a decimal number, we refer to the decimal place value chart. Let us understand this with the help of an example.
Example 1: Write the place values of all the digits in the given number: 673.258
Solution: Using the decimal place value chart, we can write the place values of all the numbers.
6 comes under the hundreds column, therefore, the place value of 6 is 6 hundreds, or 6 × 100 = 600
7 comes under the tens column, therefore, the place value of 7 is 7 tens, or 7 × 10 = 70
3 comes under the ones column, therefore, the place value of 3 is 3 ones, or 3 × 1 = 3
2 comes under the tenths column, therefore, the place value of 2 is 2 tenths, or 2/10 = 0.2
5 comes under the hundredths column, therefore, the place value of 5 is 5 hundredths, or 5/100 = 0.05
8 comes under the thousandths column, therefore, the place value of 8 is 8 thousandths, or 8/1000 = 0.008
Example 2: Find the place value of 4 and 8 in the given decimal number: 47.83
Solution:
If we refer to the decimal place value chart, then we see that 4 comes under the tens place. So, its place value is 4 tens, or, 40.
Now, let us check the place value of 8. We can see that 8 comes under the tenths column. Therefore, the place value of 8 is 8 tenths, which means 8/10, or, 0.8
Decimal Chart to Hundredths
If we refer to the decimal place value chart, we see that the first digit to the right of the decimal point shows the number of tenths. The second digit to the right of the decimal point shows the number of hundredths. For example, in a decimal number, 12.54, the second digit to the right of the decimal point is 4 which comes under the column of hundredths. In other words, 12.54 can be expanded as 12.54 = 1 tens + 2 ones + 5 tenths + 4 hundredths. This can also be written as 10 + 2 + 0.5 + 0.04. In other words, it means, 12.54 = 10 + 2 + 5/10 + 4/100
As we move to the right of the decimal, we see that the place value after tenths and hundredths is thousandths. For example, in 0.859, the number 9 comes in the thousandths place. This means its place value is 9/1000 or 0.009.
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Decimal Place Value Examples
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Example 1: Write the digit in the hundredths place for the given number: 39.546
Solution: If we refer to the decimal place value chart, we can see the place value of all the numbers.
The decimal chart shows that 3 comes under the tens place, 9 comes under the ones place, 5 comes under the tenths place, 4 comes under the hundredths place and 6 comes under the thousandths place.
Therefore, the number 4 comes under the hundredths place.
FAQs on Decimal Place Value
What is Decimal Place Value in Math?
Decimal place values express the place values of the digits in a decimal number which includes the whole number part and the fractional part. It should be noted that the place value of the digits to the left of the decimal point are the usual ones starting from ones, followed by tens, hundreds, thousands, and so on. And the place value of the digits to the right of the decimal point starts from the tenths place, followed by the hundredths place, the thousandths place, and so on. For example, in a decimal number 24.36, the place value of 2 is 20, the place value of 4 is 4, the place value of 3 is 0.3, and the place value of 6 is 0.06
What is the Decimal Place Value Chart?
The decimal place value chart is a chart that shows the place values of all the digits in a given decimal number. The digits to the left of the decimal points represent the place values starting from ones, followed by tens, hundreds, thousands, and so on. The digits to the right of the decimal points represent the place values starting from tenths, followed by hundredths, thousandths, and so on.
In the Decimal Number 32.5, What is the Place Value of 5?
If we follow the decimal place chart, we can observe that in the given decimal number 32.5, the number 5 comes to the right of the decimal point and falls in the tenths place. Therefore, the place value of 5 is 5 tenths, which can be written as 5/10 or 0.5
What is the Place Value after the Decimal Point?
In a decimal place chart, the place value that comes right after the decimal point is tenths. For example, in a decimal number, 0.67, the number 6 comes under the tenths place, therefore, the place value of 6 is 6 tenths or 6/10 = 0.6
How to Write Decimal Place Value in Word Form?
The decimal place value can be expressed in words as well. We know that the digits to the left of 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. For example, let us find the place value of 5 in the given number, 7.65. Here, 5 is in the hundredths place, therefore its place value can be written as 5 hundredths in words and 5/100 or 0.05 in the numeral form.
What is the Decimal Place Value of the Number 8 in 124.082?
The decimal place value of 8 in the number 124.082 can be found using the decimal place value chart. We can see that the number 8 comes to the right of the decimal point and falls under the hundredths column. Therefore, the place value of 8 in the given number is 8 hundredths which can be written as 8/100 or 0.08
How to Read a Decimal Place Value Chart?
A decimal place value chart can be read very easily using the given place values. It should be noted that the place values to the left of the decimal are represented as ones, tens, hundreds, thousands, and so on. While the digits to the right of the decimal point start from tenths, followed by hundredths, thousandths, ten-thousandths, millionths, and so on. Let us understand this with an example, For example, let us write the place values of all the digits in the given number: 256.873
Solution: Using the decimal chart, we can write the place values of all the numbers.
2 comes under the hundreds column, therefore, the place value of 2 is 2 hundreds, or 2 × 100 = 200
5 comes under the tens column, therefore, the place value of 5 is 5 tens, or 5 × 10 = 50
6 comes under the ones column, therefore, the place value of 6 is 6 ones, or 6 × 1 = 6
8 comes under the tenths column, therefore, the place value of 8 is 8 tenths, or 8/10 = 0.8
7 comes under the hundredths column, therefore, the place value of 7 is 7 hundredths, or 7/100 = 0.07
3 comes under the thousandths column, therefore, the place value of 3 is 3 thousandths, or 3/1000 = 0.003
How to Find the Place Value of Decimal Numbers?
The place value of a decimal number is recognized according to the position of the dot or decimal point. We know that a decimal number includes a whole number part and a fractional part. It is be noted that the place value of the digits to the left of the decimal point are the usual ones starting from ones, followed by tens, hundreds, thousands, and so on. And the place value of the digits to the right of the decimal point starts from the tenths place, followed by the hundredths place, the thousandths place, and so on. For example, in a decimal number 24.36, the place value of 2 is 20, the place value of 4 is 4, the place value of 3 is 0.3, and the place value of 6 is 0.06
What is a Decimal Point?
A decimal point is a dot that is used to separate the whole number from the fractional part in a given decimal number. For example, in a decimal number, 87.643, we can see that 87 is the whole number part which is followed by a decimal point and after that comes the fractional part.