The average distance from Earth to Mars is 2.25×10^8 km, and the distance from Earth to Neptune is 4.3514×10^9 km. How much farther is Neptune from Earth than Mars? Express your answer in scientific notation. Do not round your answer
wrong
To find out how much farther Neptune is from Earth than Mars, we need to subtract the distance from Earth to Mars from the distance from Earth to Neptune.
4.3514×10^9 km - 2.25×10^8 km = 4.1265×10^9 km
Therefore, Neptune is 4.1265×10^9 km farther from Earth than Mars.
I apologize for the incorrect response. Let's try again.
To find the difference in distance between Neptune and Mars from Earth, we subtract the distance from Earth to Mars from the distance from Earth to Neptune.
Distance from Earth to Mars: 2.25 × 10^8 km
Distance from Earth to Neptune: 4.3514 × 10^9 km
Difference in distance: 4.3514 × 10^9 km - 2.25 × 10^8 km
= 4.3514 × 10^9 km - 0.225 × 10^9 km (converting 2.25 × 10^8 km to scientific notation)
= 4.1264 × 10^9 km
Therefore, Neptune is approximately 4.1264 × 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.
To find the difference between the high end and the low end of the range, we subtract the low end of the range 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
Difference: 2.329 × 10^(-2) cm per hour - 6.849 × 10^(-4) cm per hour
= 2.329 × 10^(-2) cm per hour - 0.006849 × 10^(-2) cm per hour (converting 6.849 × 10^(-4) cm per hour to scientific notation)
= 2.329 × 10^(-2) cm per hour - 6.849 × 10^(-4) cm per hour
= 2.329 × 10^(-2) cm per hour - 0.006849 × 10^(-2) cm per hour
= 2.322 × 10^(-2) cm per hour
= 2.322 × 10^(-2) cm/h
Therefore, the difference between the high end and the low end of the range is approximately 2.322 × 10^(-2) cm/h.
wrong
Apologies for the mistake. Let us correct the calculations.
The difference between the high end and the low end of the range can be found by subtracting 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
Difference: 2.329 × 10^(-2) cm per hour - 6.849 × 10^(-4) cm per hour
= (2.329 - 0.006849) × 10^(-2) cm per hour
= 2.322151 × 10^(-2) cm per hour
Therefore, the difference between the high end and the low end of the range is approximately 2.322151 × 10^(-2) cm per hour.
Find 0.078−(5.2×10^−3) . Express your answer in scientific notation. Do not round your answer.
To solve the given expression, we subtract 5.2×10^(-3) from 0.078.
0.078 - (5.2 × 10^(-3))
First, we convert 0.078 to scientific notation:
0.078 = 7.8 × 10^(-2)
Now we can subtract:
7.8 × 10^(-2) - (5.2 × 10^(-3))
Since the exponential terms are the same, we can subtract the coefficients:
7.8 - 5.2 = 2.6
The exponential term remains the same:
2.6 × 10^(-2)
Therefore, the expression 0.078 - (5.2 × 10^(-3)) is equal to 2.6 × 10^(-2).
To find out how much farther Neptune is from Earth than Mars, we need to subtract the distance between Mars and Earth from the distance between Neptune and Earth.
Given:
Distance from Earth to Mars = 2.25 × 10^8 km
Distance from Earth to Neptune = 4.3514 × 10^9 km
To subtract these distances, we can write it in the following equation:
Distance from Earth to Neptune - Distance from Earth to Mars = ?
Substituting the values:
4.3514 × 10^9 km - 2.25 × 10^8 km = ?
We can subtract the two distances directly:
4.3514 × 10^9 - 2.25 × 10^8 = ?
To subtract these values, we need to make sure both numbers are in the same power of 10. Here, the power of 10 can be determined by the larger number, which is 4.3514 × 10^9 km.
Dividing both numbers by 10^9 to get them in the form of scientific notation, we have:
4.3514 × 10^9 km = 4.3514 km × 10^(9 - 9) = 4.3514 km × 10^0
2.25 × 10^8 km = 2.25 km × 10^(8 - 9) = 2.25 km × 10^(-1)
Now we can substitute these values back into the equation and subtract them:
4.3514 × 10^0 - 2.25 × 10^(-1) = 4.3514 - 0.225 = 4.1264
The final answer is 4.1264 in scientific notation.