Human hair grows at a rate of about 6.849x10^-4 cm per hour to 2.329x10^-2cm 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.
To find the difference between the high end and low end of the range, we subtract the low end from the high end:
(2.329x10^-2 cm/hr) - (6.849x10^-4 cm/hr)
To subtract these numbers in scientific notation, the exponents must be the same. So let's convert the low end to the same exponent as the high end:
(2.329x10^-2 cm/hr) - (6.849x10^-4 cm/hr) = (2.329x10^-2 cm/hr) - (0.6849x10^-2 cm/hr)
Now, we can subtract the numbers:
(2.329 - 0.6849)x10^-2 cm/hr = 1.6441x10^-2 cm/hr
So the difference between the high end and the low end of the range is 1.6441x10^-2 cm/hr.
Step 1: Write down the low end and high end of the range.
Low end: 6.849x10^-4 cm per hour
High end: 2.329x10^-2 cm per hour
Step 2: Find the difference between the two values.
High end - Low end = (2.329x10^-2) - (6.849x10^-4)
Step 3: Perform the subtraction.
High end - Low end = (2.329 - 0.006849)x10^-2
Step 4: Simplify the subtraction.
High end - Low end = (2.322151)x10^-2
Step 5: Express the answer in scientific notation.
The difference between the high end and low end of the range is 2.322151x10^-2 cm per hour.
To find the difference between the high end and the low end of the range, we need to subtract the low end from the high end.
High end: 2.329x10^-2 cm per hour
Low end: 6.849x10^-4 cm per hour
To subtract these numbers:
2.329x10^-2 - 6.849x10^-4
To subtract numbers written in scientific notation, we need to make sure they have the same exponent. In this case, we can convert the low end to the same exponent as the high end (10^-2) by moving the decimal point two places to the right:
6.849x10^-4 = 0.006849x10^-2
Now, we can perform the subtraction:
2.329x10^-2 - 0.006849x10^-2 = (2.329 - 0.006849)x10^-2
Calculating the subtraction, we get:
2.322151x10^-2
Therefore, the difference between the high end and low end of the range is 2.322151x10^-2 cm per hour.