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
The difference between the high end and the low end of the range is calculated by subtracting the low end from the high end.
2.329×10^−2 cm per hour - 6.849×10^−4 cm per hour
To subtract, we need to express both numbers in the same exponential format.
2.329×10^−2 cm per hour = 2.329×10^−2 cm per hour
6.849×10^−4 cm per hour = 6.849×10^−4 cm per hour
Now subtract:
2.329×10^−2 cm per hour - 6.849×10^−4 cm per hour = 2.329×10^−2 - 6.849×10^−4 =
Since the exponents are the same, we can subtract the coefficients directly:
= 1.661 x 10^−2 cm per hour
Therefore, the difference between the high end and the low end of the range is 1.661 x 10^−2 cm per hour.
Find 0.078−(5.2×10−3) . Express your answer in scientific notation. Do not round your answer.(1 point)
To subtract the numbers, we need to express them in the same exponential format:
0.078 = 7.8 × 10^−2
5.2 × 10^−3 = 5.2 × 10^−3
Now subtract:
7.8 × 10^−2 - 5.2 × 10^−3 = (7.8 - 5.2) × 10^−2 = 2.6 × 10^−2
Therefore, the difference between 0.078 and (5.2 × 10^−3) is 2.6 × 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 the difference in size between Jupiter's radius and Earth's radius, we need to subtract Earth's radius from Jupiter's radius.
4.3441 x 10^4 miles - 3,959 miles
We need to express both numbers using the same exponential format.
4.3441 x 10^4 miles = 4.3441 x 10^4 miles
3,959 miles = 3.959 x 10^3 miles
Now, subtract:
4.3441 x 10^4 miles - 3.959 x 10^3 miles = (4.3441 - 3.959) x 10^4 = 0.3851 x 10^4
To write the result in scientific notation, we can simplify the coefficient as 3.851:
0.3851 x 10^4 miles = 3.851 x 10^3 miles
Therefore, Jupiter's radius is 3.851 x 10^3 miles bigger than the Earth's radius.