How do you write 0.283 x 10^-1 in scientific notation?

1 Answer
Sep 11, 2015

Answer:

In (normalized) scientific notation
#0.283xx10^(-1) = 2.83xx10^(-2)#

Explanation:

Normalized scientific notation has one non-zero digit to the left of the decimal point.
Moving the decimal point from #0.283# to #2.83# requires that we multiply #0.283# by #10^1#
Equivalently #2.83# must be divided by #10^1# (or multiplied by #10^(-1)#) to equal #0.283#

So #0.283xx10^(-1) = (2.83xx10^(-1))xx10^(-1)#
#color(white)("XXXXXXXXXXXX")=2.83xx10^(-2)#