# How do you write 69,800,000 in scientific notation?

Jun 26, 2018

The SN form is $6.98 \times {10}^{7}$

#### Explanation:

Scientific Notation (SN) is one where the first number is less than 10 (values $0 \leftrightarrow 9. \overline{9}$), and then is multiplied by 10 raised to some exponent. To convert the number in question, we need to break it into the constituent parts:

$69 , 800 , 000 = 6.98 \times 10 , 000 , 000$

Now that we have the first part of the SN form, we can convert the second into a base-10 exponent.

The easiest way to do this is start counting zeros, starting from the ones place. This applies to both large numbers, and decimals.

For instance, if we have the number 1000, you count three zeros, and you have the conversion $1000 = {10}^{3}$, also if you have the number 0.001, start from the ones place and start counting in the negative to get $0.001 = {10}^{-} 3$

Working with 10,000,000 you can see we have 7 zeros, which means the conversion is ${10}^{7}$

Now, we have our full SN version of the original number:

$69 , 800 , 000 = 6.98 \times {10}^{7}$