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)
ANSWER CORRECTLY
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 - Low end = (2.329×10^(-2)) - (6.849×10^(-4))
Since the exponents are the same, we can subtract the coefficients:
2.329 - 6.849 = -4.520
Therefore, the difference between the high end and the low end of the range is -4.520. To express this in scientific notation, we write it as:
-4.520×10^0
WRONG
I apologize for the mistake. Let's calculate the difference again.
High end - Low end = (2.329×10^(-2)) - (6.849×10^(-4))
Since the exponents are the same, we can subtract the coefficients:
2.329 - 0.06849 = 2.26051
Therefore, the difference between the high end and the low end of the range is 2.26051. To express this in scientific notation, we write it as:
2.26051×10^0
WRONG
Apologies for the confusion. Let's calculate the difference again.
High end - Low end = (2.329×10^(-2)) - (6.849×10^(-4))
To perform the subtraction, the exponents need to be the same. We can convert both values to the same exponent by multiplying the low end by 10:
(2.329×10^(-2)) - (6.849×10^(-4)) = (2.329×10^(-2)) - (6.849×10^(-4)) * 10
Simplifying this expression:
(2.329 - 6.849×10) × 10^-2
= (2.329 - 0.06849) × 10^-2
= 2.26051 × 10^-2
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 2.26051×10^-2.