# How do you write 18times10^3 in scientific notation?

Jun 21, 2016

$18 \times {10}^{3} = 1.8 \times {10}^{4}$

#### Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of $10$.

In other words, it is written as $a \times {10}^{n}$, where $1 \le a < 10$ and $n$ is an integer.

Now in $18 \times {10}^{3}$, we have $18$ which is greater than $10$. Hence, we should reduce it to $1.8$. As such

$18 \times {10}^{3} = 1.8 \times 10 \times {10}^{3} = 1.8 \times {10}^{4}$