Human hair grows at a rate of about 6.849 times 10^-4 cm per hour to 2.329 times 10^-2 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:

2.329 x 10^-2 - 6.849 x 10^-4

First, convert 6.849 x 10^-4 to the same exponent as 2.329 x 10^-2:

6.849 x 10^-4 = 0.006849 x 10^-2 = 6.849 x 10^-3

Now, subtract the two values:

2.329 x 10^-2 - 6.849 x 10^-3 = 2.329 x 10^-2 - 6.849 x 10^-3 = 2.329 - 0.6849 = 1.6441

Therefore, the difference between the high end and the low end of the range is 1.6441 in scientific notation.