# How do you write 8.2 times 10^-4 in standard notation?

May 28, 2016

It is 0.00082.

#### Explanation:

The ${10}^{-} 4$ tells you that you have to write 4 zeros including the first one before the dot. So the number is
$8.2 \setminus \times {10}^{- 4} = 0.00082$

May 28, 2016

Emphasising the point made in the other solution

$8.2 \times {10}^{- 4} = 0.00082$

#### Explanation:

Given: $8.2 \times {10}^{- 4}$

This is the same as

$\frac{8.2}{10 \times 10 \times 10 \times 10}$

$= \frac{0.82}{10 \times 10 \times 10}$

$= \frac{0.082}{10 \times 10}$

$= \frac{0.0082}{10}$

$= 0.00082$