# How do you simplify 1.80 times 10^4?

Jul 12, 2018

color(purple)(18,000

#### Explanation:

$1.80 \cdot {10}^{4}$

$\implies 1.80 \cdot 10 , 000$

$\implies \left(\frac{180}{\cancel{100}}\right) \cdot {\cancel{10 , 000}}^{\textcolor{red}{100}}$

$\implies 180 \cdot 100$

color(purple)(18,000

Jul 12, 2018

$18 , 000$

#### Explanation:

${10}^{4}$ is the same as $10 \cdot 10 \cdot 10 \cdot 10$, which is equal to $10 , 000$.

We now have

$1.8 \cdot 10 , 000$

We can loop the decimal in $1.8$ four times to the right. We get

$18 , 000$

Hope this helps!