# Question 02760

Jul 23, 2016

$1.722 \times {10}^{8}$

#### Explanation:

$\textcolor{b l u e}{\text{Scientific notation is that there is just 1 non zero value}}$color(blue)("to the left of the decimal point and everything else to its right."#

$\textcolor{b l u e}{\text{A correction in the form of "10^n" has to be applies to}}$$\textcolor{b l u e}{\text{to take the number back to the original value}}$

If you are not sure of how to deal with the decimals change the numbers to whole numbers and then multiply. You will need to make adjustments to the answer to convert it into the required format.

Write$\text{ "8.2xx10^2" as } 82 \times {10}^{1}$

Write$\text{ "2.1xx10^5" as } 21 \times {10}^{4}$

'............................................
$82 \times 21 = 1722$

${10}^{4} \times {10}^{1} = {10}^{5}$

Giving

$1722 \times {10}^{5}$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~
Doing the next bit in stages so that you can see what is happening.
With practice you should be able to skip steps.

$1722 \times {10}^{5} \leftarrow \text{ Starting point}$

$172.2 \times {10}^{6}$
$17.22 \times {10}^{7}$
$1.722 \times {10}^{8} \leftarrow \text{ The format needed}$