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
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.
To find the difference between the high and low end of the range, we can subtract the low end from the high end.
High end of the range: 2.329x10^-2 cm per hour
Low end of the range: 6.849x10^-4 cm per hour
Difference = High end - Low end
Difference = (2.329x10^-2) - (6.849x10^-4)
To subtract these numbers, we need to express them with the same exponent.
2.329x10^-2 = 2.329x10^-2 x 1 = 2.329x10^-2
6.849x10^-4 = 6.849x10^-4 x 10^2 = 6.849x10^-2
Difference = (2.329x10^-2) - (6.849x10^-2)
Now subtract the numbers as usual:
Difference = 2.329x10^-2 - 6.849x10^-2
To subtract these numbers, we need to express them with the same exponent.
2.329x10^-2 = 0.02329
6.849x10^-2 = 0.06849
Difference = 0.02329 - 0.06849
Difference = -0.0452
Finally, express the answer in scientific notation:
Difference = -4.52x10^-2 (negative because the low end is subtracted from the high end)
Therefore, the difference between the high and low end of the range is -4.52x10^-2 cm per hour.
To find the difference between the high and low ends of the hair growth rate range, we need to subtract the low end from the high end.
High end of the range: 2.329x10^-2 cm/hour
Low end of the range: 6.849x10^-4 cm/hour
Subtracting the low end from the high end:
2.329x10^-2 - 6.849x10^-4
To subtract these values, we need to ensure they have the same exponent. Let's convert both values to the same power of 10:
2.329x10^-2 (already in the proper format)
6.849x10^-4 = 6.849x10^-2 x 10^-2 = 6.849x10^-2 x (1/10)^2 = 6.849x10^-2 x 10^-4
Now we can subtract the values:
2.329x10^-2 - 6.849x10^-2 x 10^-4
Since we are subtracting the second value, we need to change the sign:
2.329x10^-2 - (6.849x10^-2 x 10^-4)
Now we simplify:
2.329x10^-2 - 6.849x10^-6
To subtract these values, they must have the same exponent. Let's convert the second value to the same power of 10:
6.849x10^-2 x 10^-6 = 6.849x10^-2 x (1/10)^6 = 6.849x10^-2 x 10^-6
Now we can subtract the values:
2.329x10^-2 - 6.849x10^-2 x 10^-6
To subtract these values, the bases (10) must be the same. Since both values have the same base, we can subtract the coefficients:
2.329 - 6.849x10^-2 x 10^-6
The difference between the high and low ends of the range is approximately:
-4.520x10^-2 (in scientific notation)