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

Apr 10, 2015

The answer is $1.6 \times {10}^{11}$.

Multiply the coefficients.

$1.6 \times 9.9 = 15.84 = 16$ (due to significant figures)

Add the exponents on the base 10.

${10}^{4} \cdot {10}^{6} = {10}^{4 + 6} = {10}^{10}$

Put them together.

$16 \times {10}^{10}$

Now convert the answer back into scientific notation.

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

$1.6 \times {10}^{11}$