# How do you express 234,000 in scientific notation?

Oct 6, 2017

$2.34 \times {10}^{5}$

#### Explanation:

Scientific notation is where you write a number so that it is some number between 1 and 10 that is multiplied by 10 to a power.

Looking at $234000.0$, I know that I need to move the decimal point over until I have a number between 1 and 10. Let's begin:

Move over once: $\text{ } 23400.00$

Move over twice: $\text{ } 2340.000$

Move over three times: $\text{ } 234.0000$

Move over four times: $\text{ } 23.40000$

Move over five times: $\text{ } 2.340000 \to$ this number is between 1 and 10!

So I know the number part is $2.34$ and since I had to move the decimal place over to the left 5 times the next number is ${10}^{5}$

So $2.34 \times {10}^{5}$.