# At its farthest point of orbit, Mercury is 69,800,000 kilometers from the sun. What is the scientific notation for this distance?

May 7, 2018

$6.98 \times {10}^{7}$

#### Explanation:

Scientific Notation is a way of writing very big and very small numbers quickly and accurately using powers of $10$

Numbers are written in the form $\textcolor{m a \ge n t a}{a \times {10}^{n}}$.

$a$ must be a value from $1$, but less than $10$
$1 \le a < 10$

$n$ must be an integer.

Move the decimal point in $69 , 800 , 000.$ until there is only one digit on the left of it.

$\textcolor{b l u e}{6} .980 0000.$
$\uparrow \leftarrow \leftarrow$

$6 \textcolor{red}{9 , 800 , 000} \to 6.980$ . Count the number of places moved. ($\textcolor{red}{7}$).

$69 , 800 , 000 = \textcolor{b l u e}{6} .98 \times {10}^{\textcolor{red}{7}}$