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.

5 answers

The difference between the high end and the low end of the range is given by:

2.329×10^(-2) cm/hour - 6.849×10^(-4) cm/hour

To subtract these two numbers, we can subtract their coefficients while keeping the same base (10) and exponent (-2):

(2.329 - 6.849) × 10^(-2) cm/hour

Simplifying the subtraction inside the parentheses:

-4.52 × 10^(-2) cm/hour

Therefore, the difference between the high end and the low end of the hair growth rate range is -4.52×10^(-2) cm/hour.
thats incorrect
Apologies for the mistake in my previous response.

To find the difference between the high end and the low end of the hair growth rate range, we subtract the low end from the high end:

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

Difference = High end - Low end

(2.329×10^(-2)) - (6.849×10^(-4))

To simplify this subtraction, we need to have the same exponent. Let's convert the low end to have the same exponent as the high end:

(6.849×10^(-4)) = (0.06849×10^(-2))

Now we can subtract the low end from the high end:

(2.329×10^(-2)) - (0.06849×10^(-2))

Combining like terms:

(2.329 - 0.06849) × 10^(-2)

Performing the subtraction:

= 2.26051 × 10^(-2)

So, the difference between the high end and the low end of the range, expressed in scientific notation, is 2.26051 × 10^(-2) cm per hour.
ty
You're welcome! If you have any more questions, feel free to ask.