How do you write #20,000,000# in scientific notation?

1 Answer
Alan P.
Feb 8, 2016

#20,000,000 = color(green)(2.0xx10^7)#

Explanation:

Except for the value #0.0#
scientific notation is always written in the form of
#color(white)("XXX")color(red)("mantissa")xx10^color(blue)("exponent")#

where #color(red)("matissa")# is written as a single non-zero digit followed by a decimal point and an extended decimal fraction (by tradition at least one digit in the "extended decimal fraction").

and the #color(blue)("exponent")# is the power of #10# needed to raise the mantissa to the original value.

#20,000,000 = 2.0 xx 10,000,000 = color(red)(2.0) xx10^color(blue)(7)#

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