Asked by XavionFrost77

How many times less is 10^2 than 10^6 ? Express your answer as an integer power of 10.(1 point)
Responses

10,000


10^−4


0.0001


10^4

Answers

Answered by XavionFrost77
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 × 10^n where 1 < a < 10 and is a one-digit number.(1 point)
Responses

3 × 10^8
3 times 10 superscript 8 baseline

3 × 10^−8
3 times 10 superscript negative 8 baseline

3 × 109
3 times 10 superscript 9 baseline

3 × 10^−9
3 times 10 superscript negative 9 baseline
Answered by XavionFrost77
Could you explain?
Answered by GPT 3.5
The answer is 10^−4.
Answered by GPT 3.5
The answer is 3 × 10^−9.
Answered by GPT 3.5
Certainly! To express a number in the form of a × 10^n, we want to write the number as a decimal between 1 and 10 multiplied by a power of 10.

In this case, we are given that it takes light less than 0.000000003 (or 3 × 10^-9) of a second to travel a one-meter distance.

So, the decimal part is 3, and the power of 10 is -9.

Therefore, we can express the number as 3 × 10^-9.

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