Express 0.005390 in exponential notation.
Question
Express 0.005390 in exponential notation.
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Solution
To express 0.005390 in exponential notation, you need to determine how many places the decimal point needs to move to make the number between 1 and 10, and then use that number as the exponent of 10.
- Start with the number 0.005390.
- Move the decimal point three places to the right to get 5.390. This is now in the form we want, between 1 and 10.
- The decimal point moved three places, so the exponent of 10 is -3 (it's negative because we moved to the right).
- Therefore, 0.005390 in exponential notation is 5.390 x 10^-3.
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