Human hair grows at a rate of about 6.849×10−4 cm per hour to 2.329×10−2 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.(1 point)
To find the difference between the high end and the low end of the range, we subtract the low end from the high end:
(2.329×10^(-2)) - (6.849×10^(-4))
To subtract, we need to ensure that the exponents of the numbers are the same. Let's convert 6.849×10^(-4) to scientific notation with the same exponent:
6.849×10^(-4) = 0.06849×10^(-2) = 6.849×10^(-3)
Now we can subtract:
(2.329×10^(-2)) - (6.849×10^(-3))
Subtracting, we get:
1.644×10^(-2)
Therefore, the difference between the high end and the low end of the range is 1.644×10^(-2).
To find the difference between the high end and low end of the hair growth rate range, we 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
Difference = High end - Low end
= (2.329 × 10^-2) - (6.849 × 10^-4)
To subtract these values, we need to have the same exponent. Let's convert the low end to match the exponent of the high end:
Low end = 6.849 × 10^-4 = 6.849 × 10^-2 × 10^-2 = 6.849 × 10^-2 × (10^-2)^2 = 6.849 × 10^-2 × 10^-4 = 6.849 × 10^-6
Now we can perform the subtraction:
Difference = (2.329 × 10^-2) - (6.849 × 10^-6)
To subtract, we keep the same exponent and subtract the coefficients:
Difference = 2.329 × 10^-2 - 6.849 × 10^-6
Therefore, the difference between the high end and low end of the hair growth rate range is:
Difference = 2.329 × 10^-2 - 6.849 × 10^-6 = 2.329 × 10^-2.
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: 2.329×10^(-2) cm per hour
Low end: 6.849×10^(-4) cm per hour
Subtracting the low end from the high end:
2.329×10^(-2) - 6.849×10^(-4) = 2.329×10^(-2) - 0.0006849
To express the answer in scientific notation, we need to write it with a single-digit coefficient multiplied by a power of 10. In this case, 0.0006849 can be written as 6.849×10^(-4).
Now we can subtract:
2.329×10^(-2) - 6.849×10^(-4) = 2.329×10^(-2) - 6.849×10^(-4) = 2.329×10^(-2) - (6.849×10^(-4) ÷ 10^(-2))
Simplifying the expression:
2.329×10^(-2) - (6.849×10^(-4) ÷ 10^(-2)) = 2.329×10^(-2) - 6.849×10^(-6)
The difference between the high end and the low end is 2.329×10^(-2) - 6.849×10^(-6), where the coefficient is 2.329 and the exponent is -6.