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.
High End = 2.329×10^−2 cm per hour
Low End = 6.849×10^−4 cm per hour
Difference = High End - Low End
Difference = (2.329×10^−2) - (6.849×10^−4)
To subtract the numbers in scientific notation, we need to have the same exponent. Let's convert the low end to the same exponent as the high end.
6.849×10^−4 = 0.0006849×10^−2
Now we can subtract:
Difference = (2.329×10^−2) - (0.0006849×10^−2)
Difference = 2.329×10^−2 - 0.0006849×10^−2
Since the exponents are the same, we can subtract the coefficients:
Difference = 2.329 - 0.0006849
Difference = 2.3283151
Now we express the difference in scientific notation:
Difference = 2.3283151 = 2.3283151×10^0
Therefore, the difference between the high end and the low end of the range is 2.3283151×10^0 or simply 2.3283151.
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 of the range = 2.329×10^−2 cm per hour
Low end of the range = 6.849×10^−4 cm per hour
Subtracting the low end from the high end:
2.329×10^−2 - 6.849×10^−4 = (2.329 - 0.006849) × 10^−2 = 2.322151 × 10^−2 cm per hour
Therefore, the difference between the high end and the low end of the range is 2.322151 × 10^−2 cm per hour.
To find the difference between the high end and 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
Difference = High end - Low end
Difference = (2.329 × 10^(-2)) - (6.849 × 10^(-4))
To subtract numbers in scientific notation, we need to ensure that the exponents are the same. Let's rewrite the numbers with the same exponent:
Difference = (2.329 × 10^(-2)) - (0.06849 × 10^(-2))
Now we can subtract the decimal part:
Difference = 2.329 × 10^(-2) - 0.06849 × 10^(-2)
Difference = 2.329 - 0.06849 × 10^(-2)
Difference = 2.26051 × 10^(-2)
Therefore, the difference between the high end and the low end of the range is 2.26051 × 10^(-2) cm per hour.
wrong
Apologies for the mistake in the previous response. Let's calculate the correct difference:
High end: 2.329 × 10^(-2) cm per hour
Low end: 6.849 × 10^(-4) cm per hour
Difference = High end - Low end
Difference = (2.329 × 10^(-2)) - (6.849 × 10^(-4))
To subtract numbers in scientific notation, we need to ensure that the exponents and the base numbers are the same. Let's rewrite the numbers with the same exponent:
Difference = (2.329 × 10^(-2)) - (0.06849 × 10^(-2))
Difference = 2.329 × 10^(-2) - 0.06849 × 10^(-2)
Difference = 2.329 - 0.06849 × 10^(-2)
Difference = 2.26051 × 10^(-2)
Therefore, the difference between the high end and the low end of the range is 2.26051 × 10^(-2) cm per hour.
Find 0.078−(5.2×10^−3) . Express your answer in scientific notation. Do not round your answer.
To subtract 0.078 from 5.2×10^-3, we simply subtract the decimal numbers and keep the exponent the same.
0.078 − (5.2×10^-3) = 0.078 - 0.0052 = 0.0728.
Now we express the result in scientific notation:
0.0728 = 7.28 × 10^-2.
Therefore, the answer is 7.28 × 10^-2.
Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×10^4 miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer
To find how much bigger Jupiter's radius is compared to Earth's, we need to subtract Earth's radius from Jupiter's radius.
Jupiter's radius = 4.3441×10^4 miles
Earth's radius = 3,959 miles
Difference = Jupiter's radius - Earth's radius
Difference = 4.3441×10^4 miles - 3,959 miles
Difference = (4.3441 - 3.959) × 10^4 miles
Difference = 0.3851 × 10^4 miles
Since 0.3851 = 3.851×10^(-1), we can rewrite:
Difference = 3.851×10^(-1) × 10^4 miles
To multiply powers of 10, we add the exponents:
Difference = 3.851 × 10^(-1 + 4) miles
Difference = 3.851 × 10^3 miles
Therefore, Jupiter's radius is 3.851 × 10^3 miles bigger than Earth's radius.