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.
The high end of the range is 2.329×10−^2 cm per hour.
The low end of the range is 6.849×10−^4 cm per hour.
To find the difference between the high end and the low end, we subtract the low end from the high end:
2.329×10−^2 - 6.849×10−^4 = 2.329×10−^2 - 0.0006849 = 0.02329 - 0.0006849 = 0.0226051
Therefore, the difference between the high end and the low end of the range is 2.26051×10−^2.
Thats wrong
To find the difference between the high end and low end of the range, we subtract the low end from the high end.
High end of the range: 2.329×10^-2 cm per hour
Low end of the range: 6.849×10^-4 cm per hour
Difference = (2.329×10^-2) - (6.849×10^-4)
Difference = 2.329×10^-2 - 6.849×10^-4
To subtract these values, we need to ensure they have the same exponent, so we can convert the low end to have an exponent of -2:
Difference = 2.329×10^-2 - (6.849×10^-4 × 10^2)
Difference = 2.329×10^-2 - 6.849×10^-2
Now, we subtract the values:
Difference = 2.329 - 6.849 × 10^-2
Therefore, the difference between the high end and low end of the range is 2.329 - 6.849 × 10^-2.
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.
The high end of the range is 2.329×10^(-2) cm per hour.
The low end of the range is 6.849×10^(-4) cm per hour.
Subtracting the low end from the high end:
2.329×10^(-2) - 6.849×10^(-4)
To subtract two numbers in scientific notation, we need to ensure that the exponents are the same. In this case, we can convert the low end value to the same exponent as the high end value, which is 10^(-2).
6.849×10^(-4) can be written as 6.849×10^(-2) × 10^(-2) because 10^(-2) divided by 10^(-4) is 10^(-2).
Now, we can subtract the two values:
2.329×10^(-2) - 6.849×10^(-2) × 10^(-2)
Calculating the subtraction:
2.329×10^(-2) - 6.849×10^(-2) × 10^(-2) = 2.329×10^(-2) - 0.06849×10^(-2)
Simplifying:
2.329×10^(-2) - 0.06849×10^(-2) = (2.329 - 0.06849) × 10^(-2)
Calculating the subtraction:
2.329 - 0.06849 = 2.26051
Finally, expressing the answer in scientific notation:
2.26051 × 10^(-2)
Therefore, the difference between the high end and the low end of the range is approximately 2.26051 × 10^(-2) cm per hour.