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First, you move the decimal to have only one place to the left of the decimal.

Examples:

For 84020000 it would become 8.402

For 0.00021 it would become 2.1

Then you multiply by 10. The 10 is raised to the power of how many times you moved the decimal. If you moved the decimal to the left, you use a positive exponent. If you moved it to the right, it would be a negative exponent.

Using the examples above, you would have:

8.402 x 107

2.1 x 10-4

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Q: How do you convert small and big numbers to scientific notation?
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Related questions

What requires scientific notation?

Scientific notation is required for very large or very small numbers.


How do scientists use scientific notation?

Scientists use scientific notation to compute very large or very small numbers.


When do you use scientific notation?

Scientific notation is used when dealing with very small or very large numbers.


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Scientific notation is applied wherever numbers are very large or very small.


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Scientific notation makes very large or very small numbers easier to work with.


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Scientific notation is a convenient tool for writing very large or very small numbers.


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Scientific notation is used to compute very large or very small numbers.


How do you write 18.4 in scientific notation?

Such small numbers aren't usually expressed in scientific notation but it is: 1.84*101


What was scientific notation first used for?

Scientific notation is used to compute very large or very small numbers.


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What is a type of notation expressing very large or very small numbers?

Scientific notation


What is nonscientific notation?

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