How do you write #300,000,000,000,000,000# in scientific notation?

1 Answer
Feb 6, 2016

Answer:

#3.0xx10^17#

Explanation:

#1300,000,000,000,000,000#
#color(white)("XX") = 3xx10xx10xx10xx10xx10xx10xx10xx10xx10xx10xx10xx10xx10xx10xx10xx10xx10#
#color(white)("XX" )= 3xx10^17#

The #color(red)("mantissa")# for normailzed scientific notation is always written with one digit, followed by a decimal point and the remaining fractional digits; except for the value zero, the leading digit should be non-zero.
This is followed by the #color(blue)("exponential portion")# in the form #10^"appropriate power"#

So for the given value, scientific notation should be:
#color(white)("XXX")color(red)(3.0)xxcolor(blue)(10^17)#