Question

Which Is The Closest Approximation to the Product $0.3333\times 0.25\times 0.499\times 0.125\times 24$?

Answer 1

Determine the product $0.3333\times 0.25\times 0.499\times 0.125\times 24$.

The term "product" refers to the result of one or more multiplications.

The product $0.3333\times 0.25\times 0.499\times 0.125\times 24$ is calculated as follows:

$\begin{array}{rcl}0.3333\times 0.25\times 0.499\times 0.125\times 24& =& 0.3\times 0.25\times 0.5\times 0.125\times 24\\ & =& \frac{3}{10}\times \frac{25}{100}\times \frac{5}{10}\times \frac{125}{1000}\times 24\\ & =& \frac{3}{10}\times \frac{1}{4}\times \frac{5}{10}\times \frac{5}{40}\times 24\\ & =& \frac{3}{10}\times \frac{1}{4}\times \frac{1}{10}\times \frac{5}{8}\times 24\\ & =& \frac{3}{10}\times \frac{1}{4}\times \frac{1}{10}\times \frac{5}{1}\times 3\\ & =& \frac{3}{10}\times \frac{1}{4}\times \frac{1}{2}\times \frac{1}{1}\times 3\\ & =& \frac{9}{80}\\ & =& 0.1125\end{array}$

Hence, the product of the given expression is $0.1125$.