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Decimal Numbers

If a number has a decimal point, then it is known as the decimal number. The number before the decimal point is known as the whole number and the number after the decimal point is known as decimal value. We can write a decimal in the form of a fraction. We also have the place values in the decimal numbers.

Decimal Numbers

Let us discuss this with an example.

Consider that there is a decimal number 0.5463. In this, each digit shows different values.

  1. The first digit after the decimal that is 5 represents tenths value, which shows that there are 5 tens in the given value. 
  2. The second digit shows hundredths value that is 4. It represents that there are 4 hundreds in the given digit.
  3. The third digit represents thousands value that is 6, which represents that there are 6 thousand in the given digit.
  4. 3 represents ten thousands value, which represents that there are 3 ten thousands in this example.
If there are 2 digits after the decimal in the denominator, we need to write those many zeros and decimal point as 1. That is, we have 0.312. In this, we have 3 digits after decimal. So, in the denominator, we need to put three zeros after 1. 
Adding and subtracting the decimal numbers are similar to adding and subtracting whole numbers. But, when multiplying the decimal numbers, we need to put the decimal number in the resulting value.Examples on Decimal Numbers:

Let us look at few examples.

Example 1:

Write 0.25 in fraction form.


The given decimal value is 0.25. In this number, we have two digits after decimal. So, we need to put 2 zeros after 1 in the denominator. If we write this in the fraction form, then we will get it as $\frac{25}{100}$. We can divide the numerator and denominator by 25. Then, we will get it as $\frac{\frac{25}{25}}{\frac{100}{25}}$ which is equal to $\frac{1}{4}$.

Now, the required fraction form of the given decimal 0.25 is $\frac{1}{4}$.

Example 2:

What is the place value of the number 6 in the decimal number 0.632?


The given decimal number is 0.632. The place of the number that is next to the decimal point is ten. In the given decimal number, 6 is next to the decimal point. So, the place value of the number 6 is ten.

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