CCSS Math: 8.EE.A.3
Review the basics of scientific notation and try some practice problems. 

Scientific notation

A number is written in scientific notation when there is a number greater than or equal to 11 but less than 1010 multiplied by a power of 1010.
The following numbers are written in scientific notation:
  • 5.4×1035.4\times 10^3
  • 8.013×1068.013\times10^{-6}
Want to learn more about scientific notation? Check out this video.

Writing numbers in scientific notation

Numbers greater than 1010

If we have a number greater than 1010, we move the decimal point to the left until we have a number between 11 and 1010. Then, we count the number of times we moved the decimal and write that as an exponent over a base of 1010. Finally, we write our number multiplied by the power of 1010.
Example
Let's write 604,000604{,}000 in scientific notation.
If we move the decimal left once, we get 60,400.060{,}400.0. We need to keep moving the decimal until we get a number between 11 and 1010.
We have to move the decimal left a total 5\goldD5 times.
Now, we have 6.046.04.
Finally, we multiply 6.046.04 times 10510^\goldD5:
604,000604{,}000 in scientific notation is 6.04×1056.04\times10^\goldD5.

Numbers less than 11

If we have a number less than 11, we move the decimal point to the right until we have a number between 11 and 1010. Then, we count the number of times we moved the decimal and write that as a negative exponent over a base of 1010. Finally, we write our number multiplied by the power of 1010.
Example
Let's write 0.00580.0058 in scientific notation.
If we move the decimal right 3\greenD3 times, we get a number between 11 and 1010.
Now, we have 5.85.8.
Finally, we write 5.85.8 times 10310^{\greenD{-3}}:
0.00580.0058 in scientific notation is 5.8×1035.8\times 10^{\greenD{-3}}.

Practice

Problem 1
Express this number in scientific notation.
245,600,000,000245{,}600{,}000{,}000

Want to try more problems like this? Check out this exercise.