What are Decimals?
Decimals are another way of representing fractions and are therefore called Decimal Fractions.
For example, the fraction 462351/1000 can be written as 462.351.
There are two parts to a decimal number:
- An integral part, that is the number before the decimal
- A decimal part, that is the number after the decimal point.
In the case of 462.351, 462 is the integral part of the number and 351 is the decimal part of the number.
What is Place value of decimal fractions?
Place value is the value of each digit of a number, based on its position.
In the case of decimal fractions,
- Place value of digits in the integral part increases by ten times the previous place value as we move towards the
- Place value of digits in the decimal part reduces to one-tenth of the previous place value, as we move towards the
For example, consider the number 462.351.
The place values of the digits before the decimal point are as follows:
- The digit 2 is in the ones place, 6 is in the tens place, and 4 is in the hundreds
The place value of the digits after the decimal point are as follows:
- The first digit after the decimal point, that is 3, is in the tenth’s place. So its value is 3 times ‘one by 10’, or ‘three tenths’.
- The second digit to the right of the decimal point, that is 5, is in the hundredths It means that its value will be 5 times ‘one by 100’.
- The third digit to the right of the decimal point, which is 1, is said to be in the thousandth’s place. This is 1 multiplied by ‘one by 1000’.
If all the six values are added, it will give 462.351 This can be written as:
462.351 = (4 × 100) + (6 × 10) + (2 × 1) + 3/10 + 5/100 +1/1000
Summary
| Decimals | Another way of representing fractions |
| Parts of a Decimal Number |
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| Place Value of Decimal Fractions |
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