The use of electricity in the US in 1902 was 6.03 x 10^9 kilowatt-hours.

Question

The use of electricity in the US in 1950 was 4.3 x 10^11 kilowatt-hours.

How many times more was the electricity used in 1950 than 1902? Express your answer in Scientific Notation.

(2 points)

Answer 1

To find the ratio of the electricity used in 1950 to 1902, we divide the electricity used in 1950 by the electricity used in 1902:

Ratio = (4.3 x 10^11 kilowatt-hours) / (6.03 x 10^9 kilowatt-hours)

To divide the numbers, we subtract the exponents:

Ratio = (4.3 / 6.03) x (10^11 / 10^9)

Simplifying the division:

Ratio = 0.712828 x (10^(11-9))

The exponent of 10 remains the same because we are just dividing by a factor of 10.

Ratio = 0.712828 x 10^2

Expressing the ratio in scientific notation:

Ratio = 7.12828 x 10^1

Therefore, the electricity used in 1950 was approximately 7.12828 times greater than in 1902.

Answer 2

Subtract coefficients and divide powers: 1.73×102
Subtract coefficients and divide powers: 1.73×102

Divide coefficients and subtract powers: 7.13×101
Divide coefficients and subtract powers: 7.13×101

Add coefficients and add powers: 10.33×1020
Add coefficients and add powers: 10.33×1020

Multiply coefficients and add powers: 2.6×1021
Multiply coefficients and add powers: 2.6×1021

Divide coefficients and subtract powers: 1.4 x 102

Answer 3

Divide coefficients and subtract powers: 1.4 x 10^2