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Find the Value of the following : $1.1\times0.1\times0.01$.
Given :
The given expression is $1.1\times0.1\times0.01$
To find :
We have to find the value of the given expression.
Solution :
$1.1\times0.1\times0.01$
Convert the given decimals to fractions,
$1.1 = \frac{11}{10}$ [point is after one decimal place from the right end, so remove the point and divide by 10]
$0.1 = \frac{1}{10}$ [point is after one decimal place from the right end, so remove the point and divide by 10]
$0.01 = \frac{1}{100}$ [point is after two decimal places from the right end, so remove the point and divide by 100]
Now,
$\frac{11}{10} \times \frac{1}{10} \times \frac{1}{100}$
$=\frac{11\times1\times1}{10\times10\times100} $
$=\frac{11}{10000}$
$=\frac{11}{10000} = 0.0011$ [10000 in the denominator, so place the point after four decimal places from the right end]
The value of $1.1\times0.1\times 0.01 is 0.0011 $.