# What is 12,000 in a scientific notation?

Apr 12, 2017

$1.2000 \cdot {10}^{4}$

#### Explanation:

$1 < 1.2 < 10$

Apr 12, 2017

$1.2 \cdot {10}^{4}$

#### Explanation:

There are two parts to scientific notation:

the actual decimal is 1.2 because in scientific notation, it needs to be between 1 and 10. So 0.12 is less than 1, and 12 is more than 10, but 1.2 is in between.

The power that 10 is raised to is 4 because that's the number of spaces left you had to move the decimal over to get 1.2.

Note: if you had to move the decimal right to get a number between 1-10, the exponent wold be negative.
Ex: $0.00036 = 3.6 \cdot {10}^{-} 4$