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)

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

To subtract these values, we need to express them using the same power of 10. We can convert the low end to scientific notation by moving the decimal point two places to the right:
2.329×10^−2 cm per hour - 0.006849×10^0 cm per hour

Now we can directly subtract the values:
2.329×10^−2 cm per hour - 0.006849×10^0 cm per hour

Since the powers of 10 are the same, we can subtract the coefficients:
2.329 - 0.006849 = 2.322151

Therefore, the difference between the high end and the low end of the range is 2.322151. Expressing this in scientific notation, we have:
2.322151 = 2.322151×10^0

So, the difference between the high end and the low end of the range is 2.322151×10^0 (or simply 2.322151 in scientific notation).