Write in Scientific Notation Quick Check

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Question
Write 0.000000065 in scientific notation.(1 point)
Responses

6.5 × 10−7
6.5 times 10 superscript negative 7 baseline

6.5 × 108
6.5 times 10 superscript 8 baseline

6.5 × 10−8
6.5 times 10 superscript negative 8 baseline

6.5 × 107

1 answer

To convert the number 0.000000065 into scientific notation, you need to express it in the form \( a \times 10^n \), where \( a \) is a number between 1 and 10, and \( n \) is an integer.

  1. Move the decimal point in 0.000000065 to the right until you have a number between 1 and 10. Moving the decimal point 7 places to the right gives you 6.5.
  2. Since you moved the decimal to the right, the exponent will be negative.
  3. Therefore, the number can be written as \( 6.5 \times 10^{-8} \).

So, the correct response is:

6.5 × 10−8 (6.5 times 10 superscript negative 8 baseline).