Calculate 6.25 x 10^6 - 4.73 x 10^6. Express your answer in scientific notation to 2 decimal places.
Ill just say all the answers quickly:
1. 1.52 x 10^6
2. 4.1264 x 10^9
3. 2.26051 x 10 ^-2
4. 7.28
5. 3.9482 x 10^4
6.25 x 10^6 - 4.73 x 10^6 = 1.52 x 10^6
The average distance from Earth to Mars is 2.25 x 10^8 km, and the distance from Earth to Neptune is 4.3514 x 10^9 km. How much farther is Neptune from Earth than Mars? Express your answer in scientific notation. Do not round your answer.
To find how much farther Neptune is from Earth than Mars, we subtract the distance from Earth to Mars from the distance from Earth to Neptune:
4.3514 x 10^9 km - 2.25 x 10^8 km = 4.3514 x 10^9 km - 0.225 x 10^9 km
Simplifying, we have:
= 4.1264 x 10^9 km
Therefore, Neptune is 4.1264 x 10^9 km farther from Earth than Mars.
Human hair grows at a rate about 6.849 x 10^-4 cm per hour to 2.329 x 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 low end of the range, we subtract the low end from the high end:
(2.329 x 10^-2 cm per hour) - (6.849 x 10^-4 cm per hour)
Simplifying, we have:
= 2.329 x 10^-2 cm per hour - 6.849 x 10^-4 cm per hour
= 2.329 x 10^-2 cm per hour - 0.06849 x 10^-2 cm per hour
= (2.329 - 0.06849) x 10^-2 cm per hour
= 2.26051 x 10^-2 cm per hour
Therefore, the difference between the high end and low end of the range is 2.26051 x 10^-2 cm per hour.
Find 0.078 - (5.2 x 10^-3). Express your answer in scientific notation. Do not round your answer.
___ x 10^-2
0.078 - (5.2 x 10^-3) = 0.078 - 0.0052
= 0.0728
In scientific notation, this is equal to 7.28 x 10^-2.
Earth's radius is approximately 3,959 miles, while Jupiter's radius is approximately 4,3441 x 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.
__ x __ miles
To find how much bigger Jupiter's radius is compared to Earth's, we divide Jupiter's radius by Earth's radius:
(4.3441 x 10^4 miles) / (3,959 miles)
Simplifying, we have:
= 4.3441 x 10^4 miles / 3,959 miles
= (4.3441 / 3,959) x 10^4 miles
Rounding to two decimal places, we have:
= 1.10 x 10^1 miles
Therefore, Jupiter's radius is 1.10 x 10^1 times bigger than Earth's radius.