How Is Place Value Used to Read Decimals
Decimal Place Value
The decimal place value chart shows the identify value of the digits in a decimal number. We know that identify value is the numerical value represented by a digit in a number. Therefore, only like the other place value charts, decimal place value charts are used to place 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 signal and after the decimal indicate. Let us larn more about the decimal place value chart and solve a few examples.
| 1. | Decimal Identify Value Definition |
| 2. | Decimal Place Value Nautical chart |
| iii. | Decimal Chart to Hundredths |
| iv. | FAQs on Decimal Place Value |
Decimal Place Value Definition
A decimal number is fabricated upwards of a whole number and a partial part that is separated past 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. Information technology 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 signal and the digits after the decimal point.
The digits before the decimal signal represent the usual identify values similar ones, tens, hundreds, thousands, and and so on. Whereas the digits afterward the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and and then on. Let us read the post-obit section to empathise more about the decimal place value nautical chart.
Decimal Place Value Nautical chart
If nosotros discover the decimal place value chart, it can be seen that the place values before the decimal starting time with ones, followed by tens, hundreds, and so on, while the place values after the decimal point offset from tenths, followed past hundredths, then thousandths and so on. The place value afterward the decimal represents the partial role of the number. For example, the number 0.56 is made up of 5 tenths and half-dozen hundredths. This tin can also exist written equally 0.56 = 0.five + 0.06. In other words, it means, 0.56 = 5/10 + 6/100.
Now, if nosotros need to find the place value of the digits in a decimal number, nosotros refer to the decimal place value chart.
Case i: Write the place values of all the digits in the given number: 673.258
Solution: Using the decimal identify value nautical chart, we can write the place values of all the numbers.
6 comes under the hundreds cavalcade, therefore, the place value of 6 is six hundreds, or 6 × 100 = 600
seven comes under the tens column, therefore, the place value of 7 is seven tens, or 7 × 10 = 70
3 comes under the ones column, therefore, the place value of 3 is 3 ones, or iii × 1 = iii
2 comes under the tenths column, therefore, the identify value of two is two tenths, or 2/10 = 0.2
5 comes under the hundredths column, therefore, the place value of 5 is five hundredths, or v/100 = 0.05
8 comes nether the thousandths cavalcade, therefore, the place value of eight is 8 thousandths, or 8/1000 = 0.008
Example 2: Discover the place value of four and 8 in the given decimal number: 47.83
Solution:
If we refer to the decimal place value chart, then we run into that 4 comes under the tens place. So, its identify value is 4 tens, or, xl.
Now, let united states check the place value of eight. We tin can see that 8 comes under the tenths column. Therefore, the place value of viii is eight tenths, which means 8/10, or, 0.8
Decimal Nautical chart to Hundredths
If we refer to the decimal place value chart, we run across that the beginning digit to the right of the decimal point shows the number of tenths. The second digit to the correct 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 nether the column of hundredths. In other words, 12.54 tin be expanded equally 12.54 = 1 tens + 2 ones + 5 tenths + iv hundredths. This can also be written as x + 2 + 0.5 + 0.04. In other words, it ways, 12.54 = 10 + 2 + v/10 + 4/100
As nosotros motion to the right of the decimal, we see that the identify value afterward tenths and hundredths is thousandths. For example, in 0.859, the number 9 comes in the thousandths identify. This ways its place value is 9/1000 or 0.009.
☛ Related Articles
- Convert Decimal to fraction
- International Identify Value Chart
- Decimal to Fraction Chart
- Terminating Decimals
- Relationship Between Fractions and Decimals
Decimal Place Value Examples
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Example 1: Write the digit in the hundredths identify for the given number: 39.546
Solution: If nosotros refer to the decimal place value chart, nosotros can encounter the identify value of all the numbers.
The decimal chart shows that 3 comes nether the tens place, 9 comes under the ones place, five comes under the tenths place, 4 comes under the hundredths place and 6 comes nether the thousandths identify.
Therefore, the number 4 comes under the hundredths place.
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Practice Questions on Decimal Identify Value
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FAQs on Decimal Identify 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 office and the fractional office. It should be noted that the place value of the digits to the left of the decimal signal are the usual ones starting from ones, followed by tens, hundreds, thousands, and and so on. And the place value of the digits to the right of the decimal point starts from the tenths identify, followed by the hundredths place, the thousandths place, and so on. For example, in a decimal number 24.36, the identify value of 2 is 20, the identify value of 4 is 4, the identify value of three is 0.3, and the place value of half-dozen is 0.06
What is the Decimal Place Value Chart?
The decimal place value chart is a nautical chart that shows the identify values of all the digits in a given decimal number. The digits to the left of the decimal points stand for the place values starting from ones, followed by tens, hundreds, thousands, then on. The digits to the right of the decimal points correspond the place values starting from tenths, followed by hundredths, thousandths, then on.
In the Decimal Number 32.five, What is the Identify Value of five?
If we follow the decimal place value nautical chart, we tin can observe that in the given decimal number 32.5, the number v comes to the right of the decimal point and falls in the tenths place. Therefore, the place value of five is 5 tenths, which can be written equally 5/10 or 0.5
What is the Identify Value after the Decimal Bespeak?
In a decimal place value nautical chart, the place value that comes right after the decimal point is tenths. For instance, in a decimal number, 0.67, the number half dozen comes under the tenths place, therefore the identify value of 6 is 6 tenths or six/10 = 0.vi
How to Write Decimal Identify Value in Give-and-take Form?
The decimal place value tin be expressed in words too. Nosotros know that the digits to the left of the decimal point stand for the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits later the decimal signal represent place values starting from tenths, followed past hundredths, then thousandths, and and then 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 equally five 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 equally 8/100 or 0.08
How to Read a Decimal Identify Value Nautical chart?
A decimal identify value chart can be read very easily using the given place values. Information technology should be noted that the place values to the left of the decimal are represented as ones, tens, hundreds, thousands, and and so on. While the digits to the right of the decimal point get-go from tenths, followed by hundredths, thousandths, ten-thousandths, millionths, and then 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 tin 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
v comes under the tens column, therefore, the place value of v is 5 tens, or five × 10 = 50
6 comes under the ones cavalcade, therefore, the identify value of half dozen is 6 ones, or 6 × 1 = 6
8 comes nether the tenths column, therefore, the place value of 8 is 8 tenths, or 8/x = 0.8
7 comes under the hundredths column, therefore, the identify value of vii 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 Do You Find the Place Value of a Decimal?
The place value of a decimal number is recognised co-ordinate to the position of the dot or decimal point. The first digit to the correct of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths. For case, 0.seven can be written as 710 as a fraction.
Source: https://www.cuemath.com/numbers/decimal-place-value/
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