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. (hint: the answer is equal to 0.0226051)

3 answers

To find the difference between the high end and the low end of the range, we subtract the low end from the high end:

(2.329 × 10^−2) - (6.849 × 10^−4) = 2.329 × 10^−2 - 6.849 × 10^−4 = 2.329 × 10^−2 - 0.0006849

Since both numbers are already in scientific notation, we can subtract them directly:

2.329 × 10^−2 - 0.0006849 = 0.02229 - 0.0006849

Now we combine like terms:

0.02229 - 0.0006849 = 0.0216051

Therefore, the difference between the high end and the low end of the range is 0.0216051, which can be expressed in scientific notation as 2.16051 × 10^−2.
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Apologies for the incorrect answer. Let's try again.

To find the difference between the high end and the low end of the range, we subtract the low end from the high end:

(2.329 × 10^−2) - (6.849 × 10^−4) = 2.329 × 10^−2 - 6.849 × 10^−4

To subtract these numbers, we need to have the same exponent:

2.329 × 10^−2 - 0.06849 × 10^−2

Since the exponents are the same (both are 10^−2), 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 (without scientific notation).