# How do you express 0.006 in scientific form?

Jun 16, 2017

$6 \times {10}^{-} 3$

#### Explanation:

Scientific notation means a number is of the form:

$a \times {10}^{b}$

Where $b$ is an integer and $1 \le a < 10$.

The first non-zero digit in this number is 6, so we should be looking to make the first digit of $a$ 6 as well.

To do this, we can multiply 0.006 by ${10}^{3} / {10}^{3}$. This gives us:

$0.006 \times {10}^{3} / {10}^{3}$

$= 0.006 \times {10}^{3} \times \frac{1}{10} ^ 3$

Multiplying by ${10}^{3}$ is the same as moving the decimal point 3 places to the right, so this gives us:

$6 \times \frac{1}{10} ^ 3$

$= 6 \times {10}^{-} 3$