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)

Explanation:

Step1: Identify high - and low - end values

High end: $2.329\times 10^{-2}$, Low end: $6.849\times 10^{-4}$

Step2: Rewrite with same exponent

Rewrite $2.329\times 10^{-2}$ as $232.9\times 10^{-4}$

Step3: Subtract

$(232.9\times 10^{-4})-(6.849\times 10^{-4})=(232.9 - 6.849)\times10^{-4}$
$232.9-6.849 = 226.051$
So the result is $226.051\times 10^{-4}$

Step4: Convert to scientific notation

$226.051\times 10^{-4}=2.26051\times 10^{-2}$

Answer:

$2.26051\times 10^{-2}$