Human hair grows at a rate of about 6.849x10^-4cm per hour to 2.329x10^-2cm per hour. The rate depends on gender, genetics, age, and health. Find the difference between the high and in the low end of the range. Express your answer in scientific notation. Do not round your answer

1 answer

The difference between the high and low end of the range can be calculated by subtracting the low end from the high end.

High end: 2.329x10^-2 cm/hour
Low end: 6.849x10^-4 cm/hour

Subtracting the low end from the high end:
2.329x10^-2 cm/hour - 6.849x10^-4 cm/hour

To subtract these values, we need to express them in the same power of 10. We can do this by converting the low end into scientific notation with the same exponent:

6.849x10^-4 cm/hour = 6.849x10^-4 x 10^2 x 10^-2 = 6.849x10^-6 cm/hour

Now we can subtract the values:

2.329x10^-2 cm/hour - 6.849x10^-6 cm/hour = 2.329x10^-2 - 6.849x10^-6 cm/hour

Expressing the difference in scientific notation, we have:

2.329x10^-2 - 6.849x10^-6 cm/hour = 2.329x10^-2 - 6.849x10^-6 cm/hour = 2.328993151x10^-2 cm/hour

Therefore, the difference between the high and low end of the range is approximately 2.329x10^-2 cm/hour.