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

Answer 1

To find the difference between the high end and 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: 2.329×10^−2 - 6.849×10^−4

To subtract these numbers in scientific notation, we need to express them with the same power of 10.

2.329×10^−2 = 2.329×10^0 × 10^−2 = 2.329×10^−2
6.849×10^−4 = 6.849×10^0 × 10^−4 = 6.849×10^−4

Now we can subtract:

2.329×10^−2 - 6.849×10^−4 = 2.329×10^−2 - 0.0006849

Since both numbers have the same power of 10, we can subtract the coefficients:

2.329 - 0.0006849 = 2.3283151

Now we need to express the result in scientific notation:

2.3283151 = 2.3283151×10^0

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

2.3283151×10^0 = 2.3283151