# How do you convert to decimal notation 4.0627 times10^7?

Nov 4, 2016

$4.0627 \times {10}^{7} = \textcolor{g r e e n}{40 , 627 , 000}$

#### Explanation:

$4.0627$ could be written as $4.06270000000$ (with as many zeroes on the end as we like.

Multiplying a number by $10$ (or ${10}^{\textcolor{red}{1}}$)moves the decimal point $\textcolor{red}{1}$ position to the right:
$4.06270000000 \times {10}^{1} = 40.6270000000$

Multiplying a number by ${10}^{\textcolor{red}{2}}$ moves the decimal point $\textcolor{red}{2}$ positions to the right
$4.06270000000 \times {10}^{2} = 406.270000000$

...and so on...

Multiplying a number by ${10}^{\textcolor{red}{7}}$ moves the decimal point $\textcolor{red}{7}$ positions to the right
$4.06270000000 \times {10}^{7} = 40627000.0000$
(we can ignore the zeroes after the decimal point and throw in some commas to make the answer more legible, as displayed in the "Answer" above).