human hair grows at a rate of about 6.849 times 10^-4 cm per hour to 2.329 times 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.
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: 2.329 x 10^-2 cm per hour
Low end: 6.849 x 10^-4 cm per hour
Difference = (2.329 x 10^-2) - (6.849 x 10^-4)
To subtract the values in scientific notation, we need to make sure the exponents are the same. Since 10^-2 is a higher power of 10 than 10^-4, we need to express 6.849 x 10^-4 as a higher power of 10:
6.849 x 10^-4 = 6.849 x 10^-2 x 10^-2 = 6.849 x 10^-2
Now we can subtract the values:
(2.329 x 10^-2) - (6.849 x 10^-2) = (2.329 - 6.849) x 10^-2
The difference between the high end and the low end of the range is -4.520 x 10^-2.
Note: The negative sign in scientific notation indicates that the value is less than 1. In this case, the difference is negative because the low end (6.849 x 10^-2) is greater than the high end (2.329 x 10^-2).
To find the difference between the high end and the low end of the range (in scientific notation) for the growth rate of human hair, we can subtract the low end from the high end.
High end of the range: 2.329 x 10^-2 cm per hour
Low end of the range: 6.849 x 10^-4 cm per hour
Subtracting the low end from the high end:
(2.329 x 10^-2) - (6.849 x 10^-4)
To subtract numbers in scientific notation, the exponents need to be the same. In this case, we need to rewrite the low end value to have the same exponent as the high end value:
(2.329 x 10^-2) - (6.849 x 10^-4)
= (2.329 x 10^-2) - (0.06849 x 10^-2) (Rewriting the low end value: 6.849 = 0.06849 x 10)
= (2.329 - 0.06849) x 10^-2 (Now that the exponents are the same, we can subtract the coefficients)
= 2.26051 x 10^-2 (Result in scientific notation)
So, the difference between the high end and the low end of the range for the growth rate of human hair is 2.26051 x 10^-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: 2.329 × 10^-2 cm per hour
Low end: 6.849 × 10^-4 cm per hour
Subtracting the low end from the high end, we get:
2.329 × 10^-2 - 6.849 × 10^-4
To subtract these numbers, we need to ensure they have the same exponent. We can do this by converting 6.849 × 10^-4 to the same exponent as 2.329 × 10^-2.
6.849 × 10^-4 = 0.06849 × 10^-2 = 6.849 × 10^-3
Now we can subtract:
2.329 × 10^-2 - 6.849 × 10^-3
Performing the subtraction, we get:
2.329 × 10^-2 - 6.849 × 10^-3 = 1.644 × 10^-2
Therefore, the difference between the high end and the low end of the range is 1.644 × 10^-2.