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 the low end of the range, we subtract the low end from the high end.
High end: 2.329 * 10^(-2) cm/hour
Low end: 6.849 * 10^(-4) cm/hour
Difference = High end - Low end
= (2.329 * 10^(-2)) - (6.849 * 10^(-4))
Now, we can subtract these values:
= 2.329 * 10^(-2) - 6.849 * 10^(-4)
Since both terms have the same exponent, we can subtract the coefficients:
= (2.329 - 0.006849) * 10^(-2)
Calculating the difference of the coefficients:
= 2.322151 * 10^(-2)
Therefore, the difference between the high end and the low end of the range is 2.322151 * 10^(-2).
To find the difference between the high end and the low end of the range, we need to 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 the numbers in scientific notation, we must ensure that the exponents are the same. In this case, we can rewrite the low end value as 6.849 * 10^-4 * 10^0.
Now, subtracting the numbers:
(2.329 * 10^-2) - (6.849 * 10^-4 * 10^0)
Since multiplying by 10^0 does not change the value, we can simplify it further:
(2.329 * 10^-2) - (6.849 * 10^-4)
Now, we can subtract the numbers:
2.329 * 10^-2 - 6.849 * 10^-4 = 2.329 * 10^-2 - 0.0006849
This can be further simplified by subtracting the numbers:
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 0.0226051, expressed as a decimal.
To find the difference between the high end and the low end of the range, we subtract the low end from the high end of the range.
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 values, we need to ensure that the exponents are the same. We can convert the low end to the same exponent as the high end by multiplying it by 10^(exponent difference).
In this case, the exponent difference is (-2 -(-4)) = 2.
So, we multiply the low end by 10^(2):
6.849 * 10^(-4) * 10^(2) = 6.849 * 10^(-4+2) = 6.849 * 10^(-2)
Now the exponents are the same, so we can subtract the values:
2.329 * 10^(-2) - 6.849 * 10^(-2)
Since the exponents are the same, we can directly subtract the coefficients:
2.329 - 6.849 = -4.520
The result is -4.520 * 10^(-2) cm per hour.