Human hair grows at a rate of about 6.849 × 10^−4 cm per hour to 2.329 × 10^−2 cm per hour. The rate depends on gender, genetics, age, and health. Find the difference between the high end and the low end of the range. Express your answer in scientific notation. Do not round your answer.

Answer 1

To find the difference between the high end and low end of the range, we subtract the low end from the high end:
2.329 × 10^−2 cm per hour - 6.849 × 10^−4 cm per hour

To subtract these numbers, we need to have the same exponent. To do this, we can express 6.849 × 10^−4 cm per hour in scientific notation as 6.849 × 10^−4 x 10^(2+2) = 6.849 × 10^−4 x 10^2 = 6.849 × 10^−2.

So, the difference between the high end and the low end of the range is:
(2.329 - 6.849) × 10^−2

Therefore, the difference between the high end and the low end of the range is 2.329 × 10^−2 - 6.849 × 10^−2 = (2.329 - 6.849) × 10^−2 = -4.520 × 10^−2.

Answer 2

not working

Answer 3

I apologize for the confusion. Let me re-calculate.

The low end of the range is 6.849 × 10^(-4) cm per hour.
The high end of the range is 2.329 × 10^(-2) cm per hour.

To find the difference, we subtract the low end from the high end:
(2.329 × 10^(-2)) - (6.849 × 10^(-4))

To subtract these numbers, we need to have the same exponent, which is 10^(-4) in this case.

Moving the decimal point in 2.329 two positions to the left, we get: 0.02329.

So the difference between the high end and low end of the range is:
(0.02329 - 0.0006849) × 10^(-4)

Subtracting the numbers, we get: 0.0226051 × 10^(-4).

In scientific notation, this can be expressed as:
2.26051 × 10^(-5)