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
5 answers
The answer is 10^−4.
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
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
The answer is 3 × 10^−9.
Could you explain?
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.
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.
16 answers