The distance from Venus to the sun is about 67,000,000 miles. The distance from Earth to the sun is about 2.6×10^7 farther. What is the distance from Earth to the sun? Write your answer in scientific notation to 1 decimal place.
The distance from Earth to the sun is 2.9×10^7 miles.
To find the distance from Earth to the sun, we need to subtract the distance from Venus to the sun (67,000,000 miles) from the total distance between Earth and Venus.
Given that the distance from Venus to the sun is about 67,000,000 miles, and the distance from Earth to Venus is about 2.6×10^7 miles farther, we can calculate the distance from Earth to the sun as follows:
Distance from Earth to Sun = Distance from Venus to Sun - Distance from Earth to Venus
Distance from Earth to Sun = 67,000,000 miles - 2.6×10^7 miles
To subtract these values, we need to convert the distance from Earth to Venus to the same units as the distance from Venus to the sun (miles). To do this, we can write 2.6×10^7 miles in scientific notation by moving the decimal point one place to the left:
Distance from Earth to Venus = 2.6×10^7 miles = 26,000,000 miles
Now we can calculate the distance from Earth to the sun:
Distance from Earth to Sun = 67,000,000 miles - 26,000,000 miles = 41,000,000 miles
Writing this in scientific notation with one decimal place, we have:
Distance from Earth to Sun = 4.1×10^7 miles
To find the distance from Earth to the sun, we need to add the distance from Venus to the sun (67,000,000 miles) to the distance that Earth is farther from the sun (2.6×10^7 miles).
Taking into account the powers of 10, we can rewrite the distance Earth is farther from the sun as:
2.6×10^7 miles
Now, let's add the two distances together:
67,000,000 miles + 2.6×10^7 miles
Combining like terms, we get:
(6.7×10^7 miles) + (2.6×10^7 miles)
Adding the numbers in scientific notation, we add the coefficients (6.7 + 2.6) and keep the same exponent (7):
9.3×10^7 miles
Therefore, the distance from Earth to the sun is approximately 9.3×10^7 miles in scientific notation to 1 decimal place.