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.

Answer 1

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.

To subtract these numbers, we need to make sure they have the same exponent. To do this, we can rewrite 0.0006849 in scientific notation: 6.849 × 10^−4.

Now the numbers have the same exponent, so we can subtract: 2.329 × 10^−2 - 6.849 × 10^−4 = (2.329 - 0.06849) × 10^−2 = 2.26051 × 10^−2.

Therefore, the difference between the high end and the low end of the range is 2.26051 × 10^−2.

Answer 2

Find 0.078−(5.2×10^−3). Express your answer in scientific notation. Do not round your answer.

Answer 3

To subtract these numbers, we need to make sure they have the same exponent. Let's convert 0.078 to scientific notation by moving the decimal point two places to the right: 0.078 = 7.8 × 10^−2.

Now the numbers have the same exponent, so we can subtract: 7.8 × 10^−2 - 5.2 × 10^−3 = (7.8 - 0.052) × 10^−2 = 7.748 × 10^−2.

Therefore, the difference between 0.078 and (5.2 × 10^−3) is 7.748 × 10^−2.

Answer 4

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