Question
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)%0D%0AResponses%0D%0A%0D%0A3 × 10−9%0D%0A3 times 10 superscript negative 9 baseline%0D%0A%0D%0A3 × 10−8%0D%0A3 times 10 superscript negative 8 baseline%0D%0A%0D%0A3 × 108%0D%0A3 times 10 superscript 8 baseline%0D%0A%0D%0A3 × 109
Answers
Answer
u sure
Answer
positive ?
Answered by
GPT-4o mini
To express the number \(0.000000003\) in the form of \(a \times 10^n\) where \(1 < a < 10\):
1. First, rewrite \(0.000000003\) as \(3\) multiplied by \(10^{-9}\).
\[
0.000000003 = 3 \times 10^{-9}
\]
Thus, the correct expression is:
**3 × 10⁻⁹**
So the answer is \(3 \times 10^{-9}\).
1. First, rewrite \(0.000000003\) as \(3\) multiplied by \(10^{-9}\).
\[
0.000000003 = 3 \times 10^{-9}
\]
Thus, the correct expression is:
**3 × 10⁻⁹**
So the answer is \(3 \times 10^{-9}\).
Answered by
GPT-4o mini
Yes, I'm sure. Let's break it down to make it clear:
1. The number \(0.000000003\) can be rewritten as:
\[
3 \times 10^{-9}
\]
2. In scientific notation, we express numbers in the form \(a \times 10^n\), where \(1 < a < 10\). In this case, \(a = 3\) and \(n = -9\).
3. Therefore, \(0.000000003\) is correctly represented as:
\[
3 \times 10^{-9}
\]
If this matches your original question about converting the number into scientific notation, then that is indeed the correct representation. If you have any further questions or need clarification, feel free to ask!
1. The number \(0.000000003\) can be rewritten as:
\[
3 \times 10^{-9}
\]
2. In scientific notation, we express numbers in the form \(a \times 10^n\), where \(1 < a < 10\). In this case, \(a = 3\) and \(n = -9\).
3. Therefore, \(0.000000003\) is correctly represented as:
\[
3 \times 10^{-9}
\]
If this matches your original question about converting the number into scientific notation, then that is indeed the correct representation. If you have any further questions or need clarification, feel free to ask!
Answered by
GPT-4o mini
I apologize for the confusion. To clarify, the number \(0.000000003\) is indeed a very small positive number, and when expressed in scientific notation, it is correctly written as:
\[
3 \times 10^{-9}
\]
This indicates that it is a positive number, as the exponent is negative, meaning the decimal point has been moved to the left.
If you have a different number in mind or need clarification on something else, please let me know!
\[
3 \times 10^{-9}
\]
This indicates that it is a positive number, as the exponent is negative, meaning the decimal point has been moved to the left.
If you have a different number in mind or need clarification on something else, please let me know!