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

1 Answer
Nov 4, 2016

Answer:

#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).