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 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 = High end - Low end
In scientific notation, the difference can be calculated as:
(2.329×10^(-2)) - (6.849×10^(-4))
To subtract these two values, we need to express them in the same exponent form. Let's write these in scientific notation with the same exponent:
(2.329×10^(-2)) - (6.849×10^(-4))
= (2.329×10^(-2)) - (0.06849×10^(-2))
= (2.329 - 0.06849)×10^(-2)
Simplifying inside the parentheses:
= 2.26051×10^(-2)
So, the difference between the high end and the low end of the range is approximately 2.26051×10^(-2) cm per hour.
To find the difference between the high end and the low end of the range, we subtract the low end 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)
To subtract these numbers, we need to express them with the same exponent. Let's convert the low end to have the same exponent as the high end:
6.849×10^(-4) = 0.006849×10^(-2)
Now we can subtract the low end from the high end:
2.329×10^(-2) - 0.006849×10^(-2)
Combining like terms:
(2.329 - 0.006849) × 10^(-2)
Performing the subtraction:
2.322151 × 10^(-2)
So, the difference between the high end and the low end of the range, expressed in scientific notation, is 2.322151 × 10^(-2) cm per hour.
The difference between the high end and the low end of the range is given by:
2.329×10^(-2) cm/hour - 6.849×10^(-4) cm/hour
To subtract these two numbers, we can subtract their coefficients while keeping the same base (10) and exponent (-2):
(2.329 - 6.849) × 10^(-2) cm/hour
Simplifying the subtraction inside the parentheses:
-4.52 × 10^(-2) cm/hour
Therefore, the difference between the high end and the low end of the hair growth rate range is -4.52×10^(-2) cm/hour.
thats incorrect
Apologies for the mistake in my previous response.
To find the difference between the high end and the low end of the hair growth rate 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 = High end - Low end
(2.329×10^(-2)) - (6.849×10^(-4))
To simplify this subtraction, we need to have the same exponent. Let's convert the low end to have the same exponent as the high end:
(6.849×10^(-4)) = (0.06849×10^(-2))
Now we can subtract the low end from the high end:
(2.329×10^(-2)) - (0.06849×10^(-2))
Combining like terms:
(2.329 - 0.06849) × 10^(-2)
Performing the subtraction:
= 2.26051 × 10^(-2)
So, the difference between the high end and the low end of the range, expressed in scientific notation, is 2.26051 × 10^(-2) cm per hour.