Conversion of Decimals

**Category : **5th Class

**Conversion of Unlike**

Decimals into Like Decimals and Vice-Versa

**Step 1:** Select the decimal which has the highest number of decimal places.

**Step 2:** Now place the zeroes in the extreme right side in the other decimals so that they have equal number of digits right to the decimal point.

**Convert 4.5, 9.03, 7.551, 2.1 into like decimals.**

**Explanation**

The decimal 7.551 has the highest number of decimal places among the decimals 4.5, 9.03, 7.551, and 2.1.

The decimal 4.5 has only one decimal place, thus put 2 zeroes in the extreme right side =4.500.

The decimal 9.03 has only two decimal places, thus put 1 zeroes in the extreme right side = 9.030

The decimal 2.1 has only one decimal place, thus put 2 zeroes in the extreme right side = 2.100.

Now 4.500, 9.030, 7.551, and 2.100 are like decimals.

**Note:** In the same way you can convert like decimals into unlike decimals.

**Conversion of a Decimal into a Fraction**

**Step 1:** Remove the point from the decimal and write the obtained number as the numerator.

**Step 2:** Write 1 as denominator and put zeroes right to it so that the number of zeroes is equal to the number of digits right to the point in the given decimal.

**Convert 23.56 into a fraction.**

**Explanation**

On removing the point from the decimal 23.56 we get the number 2356.

Thus 2356 becomes numerator for the required fraction. There are two digits right to the point in the decimal 23.56 thus the required denominator will be 100 as 100 contains two zeroes.

Thus the required fraction for \[23.56=\frac{2356}{100}\]

**Conversion of a Fraction into a Decimal**

If denominator of the fraction is power of 10, count the digits of the numerator from right and put a decimal point in the numerator so that the number of digits right to the decimal point is equal to the number of zeroes in the denominator.

**Convert \[\frac{12562}{100}\] into a decimal.**

**Explanation**

The denominator 100 contains two zeroes, therefore, put a point after two digits counting from right.

Thus the required decimal\[\frac{12562}{100}=125.62\].

**Division Method**

**Step 1:** Insert a point in the extreme right to the dividend, and add zeroes right to the point (Note: you may increase the number of zeroes as per the requirements).

**Step 2:** Now divide the numerator by the denominator.

**Step 3:** Insert a point extreme right to the quotient before bringing down zeroes right to the point.

**Step 4:** Continue the division unless remainder becomes 0.

**Convert the fraction \[\frac{45}{4}\] into a decimal.**

**Explanation**

We can write 45 as = 45.000

Now divide 45.000... by 4 as per the above given rules unless remainder becomes 0. Thus we get the quotient 11.25.

Therefore, the required decimal for the fraction \[\frac{45}{4}=11.25.\]

*play_arrow*Decimals*play_arrow*Introduction*play_arrow*Expanded Form of Decimals*play_arrow*Conversion of Decimals*play_arrow*Comparison of Decimals*play_arrow*Decimals and Its Operations

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