How do you multiply #(1.6* 10^4)* (9.9 *10^6#)?

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Answer 1 · 2015-04-10T20:27:48

The answer is #1.6xx10^11#.

Multiply the coefficients.

#1.6xx9.9=15.84=16# (due to significant figures)

Add the exponents on the base 10.

#10^4*10^6=10^(4+6)=10^10#

Put them together.

#16xx10^10#

Now convert the answer back into scientific notation.

Move the decimal to the left one place, and increase the exponent by one.

#1.6xx10^11#