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 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
Difference: 2.329×10^−2 - 6.849×10^−4
To subtract these numbers in scientific notation, we need to express them with the same power of 10.
2.329×10^−2 = 2.329×10^0 × 10^−2 = 2.329×10^−2
6.849×10^−4 = 6.849×10^0 × 10^−4 = 6.849×10^−4
Now we can subtract:
2.329×10^−2 - 6.849×10^−4 = 2.329×10^−2 - 0.0006849
Since both numbers have the same power of 10, we can subtract the coefficients:
2.329 - 0.0006849 = 2.3283151
Now we need to express the result in scientific notation:
2.3283151 = 2.3283151×10^0
Therefore, the difference between the high end and the low end of the range is:
2.3283151×10^0 = 2.3283151
To find the difference between the high end and the low end of the range, we need to 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
Subtracting the low end value from the high end value:
2.329 × 10^(-2) - 6.849 × 10^(-4)
To subtract these values, we need to express them in the same power of 10.
Rearranging the 6.849 × 10^(-4) value:
6.849 × 10^(-4) = 0.006849 × 10^0
Now, we can subtract the values without the exponential notation:
2.329 × 10^(-2) - 0.006849 × 10^0
Subtracting these values gives us:
0.02329 - 0.006849 = 0.016441
Now, we need to express the result in scientific notation.
The result is 0.016441 cm per hour, which can be written as 1.6441 × 10^(-2) cm per hour.
Therefore, the difference between the high end and the low end of the range is 1.6441 × 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 of the range: 2.329×10^−2 cm per hour
Low end of the range: 6.849×10^−4 cm per hour
Subtracting the low end from the high end:
(2.329×10^−2) - (6.849×10^−4)
To perform this subtraction, we need to make sure the exponents of the numbers are the same. In this case, we can rewrite 6.849×10^−4 as 6.849×10^−2×10^(-2), which equals 6.849×10^(-6).
Now, we can perform the subtraction:
(2.329×10^−2) - (6.849×10^−6)
When subtracting numbers in scientific notation, the exponents should be the same. To do this, we can express both numbers as powers of 10 with the same exponent.
To convert 2.329×10^−2 to the same exponent as 10^(-6), we rewrite it as (2.329×10^−2)×(10^4)×(10^(-4)), which results in 2.329×10^(-2+4-4) or 2.329×10^(-2).
Now we can rewrite the subtraction as:
(2.329×10^(-2)) - (6.849×10^(-6))
Subtracting the two numbers now gives us:
2.329×10^(-2) - 6.849×10^(-6) = 2.322151×10^(-2) in scientific notation.
So, the difference between the high end and the low end of the range, expressed in scientific notation, is 2.322151×10^(-2).