# How do you evaluate 58.3 times .13?

Mar 17, 2017

$\Rightarrow 7.579$

#### Explanation:

$58.3 \times .13$

$\Rightarrow 58.3 \times 0.13$

$\Rightarrow 7.579$

Mar 20, 2017

$7.579$

#### Explanation:

$\textcolor{red}{\text{ A different type of approach}}$

If the decimal places are giving you a problem this is another way of approaching it.

$58.3$ is the same as $583 \times \frac{1}{10}$

$0.13$ is the same as $13 \times \frac{1}{100}$

So $58.3 \times 0.13$ is the same as:

$583 \times 13 \times \frac{1}{10} \times \frac{1}{100}$

$583 \times 13 \times \frac{1}{1000}$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Dealing with "583xx13" part}}$

13 can be split into $10 + 3$

$10 \times 583 \to 5830$
$\textcolor{w h i t e}{1} 3 \times 583 \to \underline{1749} \leftarrow \text{ add}$
$\text{ } 7579$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Dealing with "xx1/1000" part}}$

$7579 \times \frac{1}{1000} = 7.579$