# How do you simplify 3(4.3times10^-4) in scientific notation?

Mar 5, 2018

$3 \left(4.3 \times {10}^{- 4}\right) = 1.29 \times {10}^{- 3}$

#### Explanation:

In scientific notation, you cannot have more than one digit to the left of decimal of the number (or less than one, in case you have a similar division problem), which multiplies with a power of $10$. Hence you modify the power of $10$ accordingly, as shown below.

Here we have $3 \left(4.3 \times {10}^{- 4}\right)$

= $3 \times 4.3 \times {10}^{- 4}$

= $12.9 \times {10}^{- 4}$

= $1.29 \times 10 \times {10}^{- 4}$

= $1.29 \times {10}^{- 3}$