How do you write 12.5 x 0.000 234 in scientific notation?

1 Answer
Alan P.
Jul 24, 2015

#12.5 xx 0.000234#
#color(white)("XXXX")##= (1.25xx10^1) xx (2.34xx10^(-4))#
#color(white)("XXXX")##= 2.915 xx 10^(-3)#

Explanation:

To convert standard notation to scientific notation
#color(white)("XXXX")#count the number of places to the left you need to move the decimal point to have one non-zero digit to the left of the decimal point (moving the decimal point to the right requires that you count as negative moves).
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#(1.25xx10^(+1))xx(2.34xx10^-4)#

#color(white)("XXXX")##=(1.25xx2.34) xx (10^(+1)xx 10^(-4))#

#color(white)("XXXX")##= 2.915 xx 10^(-3)#

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