Question

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

Answer 1

`4.0627xx10^7 = color(green)(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^color(red)(1)`)moves the decimal point `color(red)(1)` position to the right:
`4.06270000000xx10^1=40.6270000000`

Multiplying a number by `10^color(red)(2)` moves the decimal point `color(red)(2)` positions to the right
`4.06270000000xx10^2=406.270000000`

...and so on...

Multiplying a number by `10^color(red)(7)` moves the decimal point `color(red)(7)` positions to the right
`4.06270000000xx10^7=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).