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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.

  1. Start with the number 0.005390.
  2. 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.
  3. The decimal point moved three places, so the exponent of 10 is -3 (it's negative because we moved to the right).
  4. Therefore, 0.005390 in exponential notation is 5.390 x 10^-3.

This problem has been solved

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