Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in the form of a × 10n where 1 ≤ a < 10 and is a one-digit number.(1 point)

Responses

3 × 109
3 times 10 superscript 9 baseline

3 × 108
3 times 10 superscript 8 baseline

3 × 10−9
3 times 10 superscript negative 9 baseline

3 × 10−8

3 answers

To express the number \( 0.000000003 \) in the form \( a \times 10^n \) where \( 1 \leq a < 10 \), we can rewrite it as follows:

  1. The number is \( 0.000000003 \), which can also be expressed as \( 3 \times 10^{-9} \).

  2. Here, \( a = 3 \) and \( n = -9 \), which satisfies the condition \( 1 \leq a < 10 \).

Therefore, the correct response is:

3 × 10⁻⁹

Correct answer bot, Also here are the answers for "Estimate Large and Small Quantities Quick Check"
C. 0.00000005
C. 200
D. 3 x 10¹¹
B. 10⁴
D. 3 x 10-⁹

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