Human hair grows at a rate of about 6.849x10^-4 cm per hour to 2.329x10^-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.
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The difference between the high end and the low end of the range is:
2.329x10^-2 cm per hour - 6.849x10^-4 cm per hour.
To subtract these values, we need to have the same exponent. We can rewrite 2.329x10^-2 cm per hour as 2.329x10^-4 cm per hour (since 10^-4 is 100 times smaller than 10^-2).
So the difference between the high end and the low end of the range is:
2.329x10^-4 cm per hour - 6.849x10^-4 cm per hour.
Now, subtract the values:
(2.329 - 0.06849) x 10^-4 cm per hour.
Simplify the subtraction:
2.26051 x 10^-4 cm per hour.
Therefore, the difference between the high end and the low end of the range is 2.26051 x 10^-4 cm per hour.
Apologies for the mistake. Let's recalculate the difference between the high end and the low end of the range.
The range given is 6.849x10^-4 cm per hour to 2.329x10^-2 cm per hour. To find the difference, we subtract the low end from the high end:
2.329x10^-2 cm per hour - 6.849x10^-4 cm per hour.
To subtract, we need to have the same exponent. We can rewrite 2.329x10^-2 cm per hour as 0.02329x10^-2 cm per hour (since 10^-2 is 100 times smaller than 10^0).
Now, subtract the values:
0.02329x10^-2 cm per hour - 6.849x10^-4 cm per hour.
Simplify the subtraction:
0.022503x10^-2 cm per hour.
Therefore, the difference between the high end and the low end of the range is 0.022503x10^-2 cm per hour.
To find the difference between the high end and the low end of the range, we subtract the low end from the high end.
The high end of the range is 2.329x10^-2 cm per hour, and the low end is 6.849x10^-4 cm per hour.
So, the difference is:
(2.329x10^-2 cm per hour) - (6.849x10^-4 cm per hour)
To subtract these values, we need to rewrite them so that they have the same exponent.
2.329x10^-2 cm per hour can be rewritten as 0.02329x10^-0 cm per hour, and 6.849x10^-4 cm per hour can be rewritten as 0.0006849x10^-0 cm per hour.
Now we can subtract them:
0.02329x10^-0 cm per hour - 0.0006849x10^-0 cm per hour
Next, we subtract the numbers in front of the exponent:
0.02329 - 0.0006849 = 0.0226051
Since both numbers have the same exponent of 10^-0, the difference will also have the same exponent.
So, the difference between the high end and the low end of the range is 0.0226051x10^-0 cm per hour.
However, for scientific notation, we want the coefficient to be between 1 and 10. So, we can rewrite the coefficient and adjust the exponent accordingly:
0.0226051x10^-0 cm per hour can be rewritten as 2.26051x10^-3 cm per hour.
Therefore, the difference between the high end and the low end of the range is 2.26051x10^-3 cm per hour.
To find the difference between the high end and the low end of the range, we subtract the low end from the high end.
High end: 2.329x10^-2 cm per hour
Low end: 6.849x10^-4 cm per hour
Difference = (2.329x10^-2) - (6.849x10^-4)
To subtract, we need to make sure both numbers have the same exponent. We can convert 6.849x10^-4 to 6.849x10^-2 by multiplying the numerator and denominator by 10^2:
Difference = (2.329x10^-2) - (6.849x10^-4 x 10^2)
Difference = (2.329x10^-2) - (6.849x10^-4 x 10^2)
Difference = (2.329x10^-2) - (6.849x10^-2)
Now we can subtract the values:
Difference = 2.329x10^-2 - 6.849x10^-2
To subtract, we need to express both numbers with the same base. In this case, both numbers have the same base of 10, so we can directly subtract the coefficients:
Difference = 2.329 - 6.849
Calculating the difference, we get:
Difference = -4.520
Finally, we express the answer in scientific notation by moving the decimal point to create a number between 1 and 10:
Difference = -4.520 = -4.520x10^0
Therefore, the difference between the high end and the low end of the range is approximately -4.520x10^0 cm per hour.