# How do you find the product of two numbers written in scientific notation?

Jul 22, 2018

Multiply the two numbers together and add the powers

E.g. $\left(3.5 \times {10}^{4}\right) \left(1.2 \times {10}^{5}\right)$

$3.5 \times 1.2 = 4.2$

${10}^{4} \times {10}^{5} = {10}^{4 + 5} = {10}^{9}$

Putting these two together

$4.2 \times {10}^{9}$ then you need to check it is in scientific notation