# How do you write 54,000 in standard notation?

$5.4 \setminus \times {10}^{4}$

#### Explanation:

Given that

$54000$

$= 5.4 \setminus \times 10000$

$= 5.4 \setminus \times {10}^{4}$

Jul 29, 2018

$5.4 \cdot {10}^{4}$

#### Explanation:

The key realization is that we want one non-zero digit before the decimal point. We can loop it $4$ times to the left.

The number of times we looped it will be our exponent. Since we looped left, it is a positive $4$. We get

$5.4 \cdot {10}^{4}$

Hope this helps!