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 3.3x10^7 miles.
To find the distance from Earth to the sun, we will use the given information that the distance from Venus to the sun is about 67,000,000 miles, and it is 2.6×10^7 miles farther than the distance from Earth to the sun.
Let's call the distance from Earth to the sun "x" miles.
According to the information, we can set up the following equation:
x + 2.6×10^7 = 67,000,000
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 2.6×10^7 from both sides:
x = 67,000,000 - 2.6×10^7
To simplify the numbers, we can express them in scientific notation. We have:
x = 6.7×10^7 - 2.6×10^7
Next, we perform the subtraction:
x = 4.1×10^7
Therefore, the distance from Earth to the sun is approximately 4.1×10^7 miles, written in scientific notation to 1 decimal place.
Given that the distance from Venus to the sun is about 67,000,000 miles, and the distance from Earth to the sun is about 2.6×107 miles farther, we can calculate the distance from Earth to the sun.
To find the distance from Earth to the sun, we add the distance from Venus to the sun (67,000,000 miles) with the additional distance (2.6×107 miles).
67,000,000 miles + 2.6×107 miles = 67,000,000 miles + 26,000,000 miles = 93,000,000 miles
So, the distance from Earth to the sun is approximately 93,000,000 miles.
In scientific notation to 1 decimal place, this is written as 9.3×107 miles.