Steps involved in conversion of a given per cent into decimal form

STEP I– Obtain the per cent which is to be converted into decimal.

STEP II– Express the given per cent as a fraction with denominator as 100.

STEP III– Write the fraction obtained in step II in decimal form.

Illustration 1: Express each of the following as a decimal:

                    (i) 25%         (ii) 12%         (iii) 5.6%         (iv) 0.5%
Solution. We have,

(i) 25% = \(\frac{ 25}{ 100}\) = 0.25
                   

(ii) 12% = \(\frac{ 12 }{ 100}\) = 0.12
                   

(iii) 5.6% = \(\frac{ 5.6}{ 100}\) = 0.056

(iv) 0.5% = \(\frac{ 0.5 }{100} \) =  \(\frac{ 5 }{ 1000}\)  = 0.005

Steps involved in conversion of decimal into a per cent

STEP I– Obtain the number in decimal form.

STEP II– Convert it into a fraction by removing the decimal point. In order to remove decimal, divide by 10 or 100 or 1000 according to the number of digits on the right side of the decimal point 1 or 2 or 3 respectively.

STEP III– Multiply by 100 and put% sign.

Illustration 2: Express each of the following as percent:

                          (i) 0.073                       (ii) 0.001                     (iii) 2.4
Solution. We have,

(i) 0.073 = \(\frac{73}{ 1000}\) = (\(\frac{ 73}{ 1000}\) x 100)% = 7.3%
                   

(ii) 0.001 = \(\frac{ 1}{ 1000}\) = (\(\frac{ 1 }{1000}\) x 100) = 0.1%
                   

(iii) 2.4 = \(\frac{ 24}{ 10 }\) = (\(\frac{ 24}{10}\) x 100) = 240%