Multiplication of Decimal Numbers by 10,100,1000

\bullet If we multiply a decimal number by 10, then the decimal point will be shifted one place to the right.

Example 1.

Multiply 10 by 0.572.

Solution.

0.572\times 10=\dfrac{572}{1000}\times 10=\dfarc{572}{100}=5.72

Example 2.

Multiply 10 by 67.54.

Solution.

67.54\times 10=\dfrac{6754}{100}\times 10=\dfarc{6754}{10}=675.4


\bullet If we multiply a decimal number by 100, then the decimal point will be shifted two places to the right.

Example 1.

Multiply 100 by 0.892.

Solution.

0.892\times 100=\dfrac{892}{1000}\times 100=\dfarc{892}{10}=89.2.

Example 2.

Multiply 100 by 78.325.

Solution.

78.325\times 100=\dfrac{78325}{1000}\times 100=\dfarc{78325}{10}=7832.5.

\bullet If we multiply a decimal number by 1000, then the decimal point will be shifted three places to the right.

Example 1.

Multiply 1000 by 0.2365.

Solution.

0.2365\times 1000=\dfrac{2365}{10000}\times 1000=\dfarc{2365}{10}=236.5.

Example 2.

Multiply 1000 by 23.64.

Solution.

23.64\times 1000=\dfrac{2364}{100}\times 1000=2364\times 10=23640.

Scroll to Top