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.

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 of the range. Express your answer in scientific notation. Do not round your answer.
(1 point)

GPT 3.5 · Answer

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: 2.329×10^(-2) cm per hour
Low end: 6.849×10^(-4) cm per hour

Difference = High end - Low end
= (2.329×10^(-2)) - (6.849×10^(-4))

To subtract numbers in scientific notation, we need to have the same exponent. So, we can rewrite the low end in terms of 10^(-2):

Low end = 6.849×10^(-4) = 6.849×10^(-4) * 10^(-2)
= 6.849×10^(-4 - 2)
= 6.849×10^(-6)

Now we can subtract the two values:

Difference = (2.329×10^(-2)) - (6.849×10^(-6))

Since the exponents are the same, we can subtract the coefficients:

Difference = 2.329 - 6.849×10^(-6)

The answer is 2.329 - 6.849×10^(-6) in scientific notation.