A national park covers an area of 1.42×106 acres. A nearby national forest covers an area of 1.2×106 acres. What is the total number of acres in the park and the forest combined?(1 point)
Responses
2.62×106
2.62 times 10 superscript 6 baseline
2.62×1012
2.62 times 10 superscript 12 baseline
15.5×106
15.5 times 10 superscript 6 baseline
1.54×106
1.54 times 10 superscript 6 baseline
The total number of acres in the park and the forest combined is 2.62×10^6 acres.
The distance from Venus to the sun is about 67,000,000 miles. The distance from Earth to the sun is about 2.6×107 farther. What is the distance from Earth to the sun? Write your answer in scientific notation to 1 decimal place.(1 point)
The distance from Earth to the sun is about 3.27×10^7 miles.
Calculate 4.8×10−3−9.4×10−6 . Express the answer in scientific notation rounding to 2 decimal places.(1 point)
To calculate 4.8×10^(-3) - 9.4×10^(-6), we need to make sure both numbers have the same exponent.
First, we can rewrite 9.4×10^(-6) as 0.0094×10^(-3), so it has the same exponent as 4.8×10^(-3).
Then, we can subtract:
4.8×10^(-3) - 0.0094×10^(-3) = (4.8 - 0.0094)×10^(-3) = 4.7906×10^(-3).
Rounding to 2 decimal places, the answer is approximately 4.79×10^(-3).
A strand of hair has an average mass of 2.17×10−5 ounces. A grain of rice has an average mass of 0.002 ounces. How much heavier is a grain of rice than a strand of hair? Express your answer in scientific notation.(1 point)
To find the difference in mass between a grain of rice and a strand of hair, we subtract the mass of the hair from the mass of the rice.
0.002 ounces - 2.17×10^(-5) ounces = (0.002 - 0.0000217) ounces = 0.0019783 ounces.
To express the answer in scientific notation, we can write 0.0019783 ounces as 1.9783×10^(-3) ounces.
Therefore, a grain of rice is 1.9783×10^(-3) ounces heavier than a strand of hair.
Light travels at an approximate rate of 1.9×105 mi./sec. There are about 3.2×107 seconds in a year. About how many miles does light travel in a year? Write the answer in scientific notation. Express the answer to the exact decimal place.(1 point)
To find out how many miles light travels in a year, we need to calculate the product of the speed of light and the number of seconds in a year.
Speed of light: 1.9×10^5 mi./sec
Number of seconds in a year: 3.2×10^7 seconds
Product: (1.9×10^5 mi./sec) × (3.2×10^7 seconds)
To multiply these numbers in scientific notation, we can multiply the coefficients and add the exponents:
(1.9 × 3.2) × (10^5 × 10^7) = 6.08 × 10^(5+7) = 6.08 × 10^12
Therefore, light travels approximately 6.08×10^12 miles in a year.