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.(1 point)

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:

(2.329×10^(-2)) - (6.849×10^(-4))

To subtract, we need to ensure that the exponents of the numbers are the same. Let's convert 6.849×10^(-4) to scientific notation with the same exponent:

6.849×10^(-4) = 0.06849×10^(-2) = 6.849×10^(-3)

Now we can subtract:

(2.329×10^(-2)) - (6.849×10^(-3))

Subtracting, we get:

1.644×10^(-2)

Therefore, the difference between the high end and the low end of the range is 1.644×10^(-2).