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.
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.
Find 0.078−(5.2×10^−3). Express your answer in scientific notation. Do not round your answer.
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 per hour
Low end: 6.849×10^−4 cm per hour
2.329×10^−2 - 6.849×10^−4 = 2.29×10^−2 - 6.849×10^−4
To subtract in scientific notation, we need to ensure that the exponents of the numbers being subtracted are the same. In this case, we can change both values to have the same exponent of 10^−2.
2.329×10^−2 - 6.849×10^−4 can be written as (2.329×10^−2) - (0.6849×10^−2)
Now we can subtract the numbers:
(2.329 - 0.6849) ×10^−2
= 1.6441 ×10^−2
Therefore, the difference between the high end and the low end of the range is 1.6441 ×10^−2 cm per hour.
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.
The low end of the range is represented by the value 6.849×10^−4 cm per hour, and the high end of the range is represented by the value 2.329×10^−2 cm per hour.
To perform the subtraction, we need to subtract the low end value from the high end value:
(2.329×10^−2) - (6.849×10^−4)
When subtracting numbers in scientific notation, we must ensure the exponents are the same. In this case, we can write both of the numbers in scientific notation with the same exponent:
(2.329×10^−2) - (6.849×10^−4)
= (2.329×10^−2) - (0.06849×10^−2)
Now that the exponents are the same, we can subtract the values:
(2.329 - 0.06849)×10^−2
= 2.26051×10^−2
Therefore, the difference between the high end and the low end of the range, expressed in scientific notation, is 2.26051×10^−2 cm per hour.
wrong
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.