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. (hint: the answer is equal to 2.26051)

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:

2.329 × 10^−2 cm per hour - 6.849 × 10^−4 cm per hour

When subtracting values in scientific notation, the exponents must be the same. We can rewrite 2.329 × 10^−2 cm per hour as 2.329 × 10^−2 × 10^2 × 10^-2 cm per hour, which simplifies to 2.329 × 10^(-2+2-2) = 2.329 × 10^(-2) cm per hour.

Therefore, the difference between the high end and the low end of the range is:

2.329 × 10^(-2) cm per hour - 6.849 × 10^−4 cm per hour = 2.329 × 10^(-2) cm per hour - 6.849 × 10^(-4) cm per hour = 2.329 × 10^(-2) - 6.849 × 10^(-4) cm per hour = 2.322 × 10^(-2) cm per hour.

The difference is 2.322 × 10^(-2) cm per hour.