Question

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

Answer 1

To find the difference between the high end and the low end of the hair growth rates, we can subtract the lower value from the higher value.

The high end of the growth rate is \(2.329 \times 10^{-2}\) cm/hour, and the low end is \(6.849 \times 10^{-4}\) cm/hour.

Let's perform the subtraction:

\[
\text{Difference} = 2.329 \times 10^{-2} - 6.849 \times 10^{-4}
\]

First, we need to express both numbers with the same exponent.

The low end can be rewritten as:

\[
6.849 \times 10^{-4} = 0.06849 \times 10^{-2}
\]

Now the subtraction becomes:

\[
\text{Difference} = 2.329 \times 10^{-2} - 0.06849 \times 10^{-2}
\]

\[
= (2.329 - 0.06849) \times 10^{-2}
\]

\[
= 2.26051 \times 10^{-2}
\]

So, the difference between the high end and low end hair growth rates is:

\[
\boxed{2.26051 \times 10^{-2}} \text{ cm/hour}
\]