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)

1 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/hour
Low end: 6.849 * 10^(-4) cm/hour

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

Now, we can subtract these values:

= 2.329 * 10^(-2) - 6.849 * 10^(-4)

Since both terms have the same exponent, we can subtract the coefficients:

= (2.329 - 0.006849) * 10^(-2)

Calculating the difference of the coefficients:

= 2.322151 * 10^(-2)

Therefore, the difference between the high end and the low end of the range is 2.322151 * 10^(-2).