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.
To find the difference between the high end and the low end of the range, we subtract the low end rate from the high end rate.
High end rate: 2.329×10^(-2) cm per hour
Low end rate: 6.849×10^(-4) cm per hour
Difference = High end rate - Low end rate
= (2.329×10^(-2) - 6.849×10^(-4)) cm per hour
= 2.329×10^(-2) cm per hour - 6.849×10^(-4) cm per hour
= (2.329 - 0.06849)×10^(-2) cm per hour
= 2.26851×10^(-2)cm per hour
Therefore, the difference between the high end and the low end of the range is 2.26851×10^(-2) cm per hour.
incorrect
Apologies for the mistake.
To find the difference between the high end and the low end of the range, we subtract the low end rate from the high end rate.
High end rate: 2.329×10^(-2) cm per hour
Low end rate: 6.849×10^(-4) cm per hour
Difference = High end rate - Low end rate
= (2.329×10^(-2) - 6.849×10^(-4)) cm per hour
= (2.329 - 0.0006849)×10^(-2) cm per hour
= 2.3283151×10^(-2) cm per hour
Therefore, the difference between the high end and the low end of the range is 2.3283151×10^(-2) cm per hour.
To find the difference between the high end and the low end of the range, we subtract the low end value from the high end value.
High end value: 2.329 × 10^(-2) cm per hour
Low end value: 6.849 × 10^(-4) cm per hour
Difference = High end - Low end
= (2.329 × 10^(-2)) - (6.849 × 10^(-4))
Since the values have the same power of 10, we subtract the coefficients and keep the power of 10 the same.
Difference = 2.329 × 10^(-2) - 6.849 × 10^(-4)
Using scientific notation, the difference between the high end and the low end of the range is 2.329 × 10^(-2) - 6.849 × 10^(-4).
To find the difference between the high end and low end of the range, we need to subtract the low end from the high end.
The high end of the range is 2.329×10^(-2) cm per hour, and the low end is 6.849×10^(-4) cm per hour.
Subtracting the low end from the high end gives us:
2.329×10^(-2) - 6.849×10^(-4)
To subtract these numbers in scientific notation, we need to ensure that they have the same exponent.
We can write 6.849×10^(-4) as 6.849×10^(-4)×10^(2)×10^(-2) to match the exponent of the high end:
2.329×10^(-2) - 6.849×10^(-4)×10^(2)×10^(-2)
Simplifying this expression gives us:
(2.329×10^(-2)) - (6.849×10^(-4)×10^(-2))
Now, we can subtract the numbers:
2.329×10^(-2) - 6.849×10^(-4)×10^(-2) = 2.329×10^(-2) - 6.849×10^(-6)
Since we are asked to express the answer in scientific notation, we need to convert the result to scientific notation. The answer is:
2.329×10^(-2) - 6.849×10^(-6) = 2.329×10^(-2) - 0.000006849 = 2.328993151×10^(-2)
Therefore, the difference between the high end and low end of the hair growth rate range is approximately 2.329×10^(-2) cm per hour.