The average distance from Earth to Mars is 2.25×108 km, and the distance from Earth to Neptune is 4.3514×109 km. How much farther is Neptune from Earth than Mars? Express your answer in scientific notation. Do not round your answer.
___ km
The distance from Earth to Mars is 2.25 x 10^8 km.
The distance from Earth to Neptune is 4.3514 x 10^9 km.
To find how much farther Neptune is from Earth than Mars, we subtract the distance to Mars from the distance to Neptune:
4.3514 x 10^9 km - 2.25 x 10^8 km
To subtract these two numbers, we need to express them in the same powers of 10:
= (4.3514 x 10^9 km) - (22.5 x 10^7 km)
Now we can subtract:
= 4.3514 x 10^9 km - 22.5 x 10^7 km
Since the powers of 10 are the same, we only need to subtract the numerical values:
= 4.3514 x 10^9 - 22.5 x 10^7
Now, let's simplify the calculation:
= 0.043514 x 10^11
To express this in scientific notation, we move the decimal point one place to the right:
= 4.3514 x 10^10
Therefore, Neptune is 4.3514 x 10^10 km farther from Earth than Mars.
wronggg
Apologies for the error. Let's calculate the correct answer.
The distance from Earth to Mars is 2.25 x 10^8 km.
The distance from Earth to Neptune is 4.3514 x 10^9 km.
To find how much farther Neptune is from Earth than Mars, we subtract the distance to Mars from the distance to Neptune:
4.3514 x 10^9 km - 2.25 x 10^8 km
Following the same steps as before:
= (4.3514 x 10^9 km) - (2.25 x 10^8 km)
= 4.3514 x 10^9 km - 0.225 x 10^9 km
= 4.3514 x 10^9 km - 0.225 x 10^9 km
= 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 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.(1 point)
__ cm per hour
The low end of the range is 6.849 x 10^(-4) cm per hour.
The high end of the range is 2.329 x 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:
2.329 x 10^(-2) cm per hour - 6.849 x 10^(-4) cm per hour
To subtract these numbers, we need to express them in the same power of 10:
= (2.329 x 10^(-2) cm per hour) - (0.006849 x 10^(-2) cm per hour)
Now we can subtract:
= 2.329 x 10^(-2) cm per hour - 0.006849 x 10^(-2) cm per hour
When subtracting these numbers, we only need to subtract the numerical values since the powers of 10 are the same:
= 2.329 x 10^(-2) - 0.006849 x 10^(-2)
Simplifying the calculation:
= 2.23151 x 10^(-2) cm per hour
Therefore, the difference between the high end and low end of the range is 2.23151 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)
×10−2
To subtract these numbers, we need to express them in the same power of 10:
0.078 - (5.2 x 10^(-3))
Now, let's perform the subtraction:
= 0.078 - 0.0052
Simplifying the subtraction:
= 0.0728
To express the answer in scientific notation, we can move the decimal point two places to the left:
= 7.28 x 10^(-2)
Therefore, the answer is 7.28 x 10^(-2).
Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×104 miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer.(1 point)
_×_ miles
To find how much bigger Jupiter's radius is compared to Earth's, we subtract Earth's radius from Jupiter's radius:
4.3441 x 10^4 miles - 3,959 miles
To subtract these numbers, we need to express them in the same format:
= (4.3441 x 10^4 miles) - (3,959 x 1 mile)
Now we can subtract:
= 4.3441 x 10^4 miles - 3,959 miles
= 4.3441 x 10^4 miles - 3,959 miles
To subtract these numbers, we can ignore the 10^4 part for now and focus on the numerical values:
= 4.3441 - 3,959
Now, let's simplify the calculation:
= 4.3441 - 3,959
≈ 4.3441
Therefore, Jupiter's radius is approximately 4.3441 x 10^4 miles bigger than Earth's radius.