human hair grows at a rate of about 6.849 times 10^-4 cm per hour to 2.329 times 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 the low end of the range, we subtract the low end from the high end.

High end: 2.329 x 10^-2 cm per hour
Low end: 6.849 x 10^-4 cm per hour

Difference = (2.329 x 10^-2) - (6.849 x 10^-4)

To subtract the values in scientific notation, we need to make sure the exponents are the same. Since 10^-2 is a higher power of 10 than 10^-4, we need to express 6.849 x 10^-4 as a higher power of 10:

6.849 x 10^-4 = 6.849 x 10^-2 x 10^-2 = 6.849 x 10^-2

Now we can subtract the values:

(2.329 x 10^-2) - (6.849 x 10^-2) = (2.329 - 6.849) x 10^-2

The difference between the high end and the low end of the range is -4.520 x 10^-2.

Note: The negative sign in scientific notation indicates that the value is less than 1. In this case, the difference is negative because the low end (6.849 x 10^-2) is greater than the high end (2.329 x 10^-2).