Question #ad67c

1 Answer
Oct 17, 2017

Answer:

#(2.3 xx 10^7)(1.4xx10^-2) = 3.2xx10^5#

Explanation:

Start by looking at the exponents or powers of the two decimal numbers to see that this is a large number (tens of millions) multiplied by a relatively small number (hundredths or 1/100).
So the answer will lay somewhere in the thousands.

#(2.3 xx10^7)(1.4 xx10^-2)#

To multiply exponents, we need to add them: #10^7+10^-2=10^5#
but we still must be on the look out for additional powers if the decimal numbers multiply to be above #10.0# - here they do not.

#(2.3 xx10^7)(1.4xx10^-2)=d.d xx10^5#

and we can solve for: #d.d=2.3xx1.4=3.22# rounded to #3.2#

So: #(2.3 xx10^7)(1.4xx10^-2) = 3.2xx10^5#