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 low end of the range, we subtract the low end from the high end:
2.329×10^−2 cm per hour - 6.849×10^−4 cm per hour
To subtract these values, we need to express them using the same power of 10. We can convert the low end to scientific notation by moving the decimal point two places to the right:
2.329×10^−2 cm per hour - 0.006849×10^0 cm per hour
Now we can directly subtract the values:
2.329×10^−2 cm per hour - 0.006849×10^0 cm per hour
Since the powers of 10 are the same, we can subtract the coefficients:
2.329 - 0.006849 = 2.322151
Therefore, the difference between the high end and the low end of the range is 2.322151. Expressing this in scientific notation, we have:
2.322151 = 2.322151×10^0
So, the difference between the high end and the low end of the range is 2.322151×10^0 (or simply 2.322151 in scientific notation).
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
Subtracting the low end value from the high end value:
(2.329 × 10^(-2)) - (6.849 × 10^(-4))
To subtract numbers written in scientific notation, we need to make sure the exponents are the same. To do this, we can convert both values to scientific notation using the same exponent. In this case, we'll use the exponent of -2 since it is the highest.
(2.329 × 10^(-2)) - (6.849 × 10^(-4))
= (2.329 × 10^(-2)) - (6.849 × 10^(-4)) × (10^(-2) / 10^(-2))
= (2.329 × 10^(-2)) - (6.849 × 10^(-4) × 10^(-2))
= (2.329 × 10^(-2)) - (6.849 × 10^(-4 - 2))
= (2.329 × 10^(-2)) - (6.849 × 10^(-6))
= (2.329 - 0.000006849) × 10^(-2)
= 2.328993151 × 10^(-2)
Therefore, the difference between the high end and the low end of the range is approximately 2.328993151 × 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
Difference = High end - Low end
Difference = (2.329×10^−2) - (6.849×10^−4)
To subtract the values in scientific notation, we need to have the same exponent. Therefore, we can rewrite the values as follows:
Difference = (2.329×10^−2) - (6.849×10^−4)
= (2.329×10^−2) - (6.849×10^−4) × (10^2/10^2)
= (2.329×10^−2) - (6.849×10^−4) × (10^2)
= (2.329×10^−2) - (6.849×10^−4) × (100)
Now we can calculate the difference:
Difference ≈ (2.329 - 0.06849) × 10^(-2)
≈ 2.26051 × 10^(-2)
Thus, the difference between the high end and the low end of the range is approximately 2.26051 × 10^(-2) cm per hour.