The distance from Venus to the sun is about 67,000,000 miles. The distance from Earth to the sun is about 2.6 x 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 Venus to the sun is about 67,000,000 miles. The distance from Earth to the sun is about 2.6 x 10^7 farther. What is the distance from Earth to the sun? Write your answer in scientific notation to 1 decimal place.
To find the distance from Earth to the sun, we need to add the distance from Venus to the sun to the distance from Earth to Venus.
Given that the distance from Venus to the sun is about 67,000,000 miles and the distance from Earth to Venus is 2.6 x 10^7 miles farther than that, we can express the distance from Earth to the sun as:
67,000,000 + 2.6 x 10^7
To simplify this expression, we can convert 67,000,000 to scientific notation.
The number 67,000,000 can be written as 6.7 x 10^7, as we move the decimal point 7 places to the left and multiply by 10^7.
Therefore, the expression becomes:
6.7 x 10^7 + 2.6 x 10^7
Now, we can add these two scientific notations together. However, before we can do that, we need to make sure the powers of 10 are the same. In this case, both terms have a power of 10^7, so they are already in the same form.
Adding the coefficients (6.7 + 2.6) gives us 9.3.
Finally, the distance from Earth to the sun can be expressed as:
9.3 x 10^7 (in scientific notation)
Therefore, the distance from Earth to the sun is approximately 9.3 x 10^7 miles.
To find the distance from Earth to the sun, we can multiply the distance from Venus to the sun by the factor given (2.6 x 10^7).
Distance from Earth to the sun = (Distance from Venus to the sun) x (2.6 x 10^7)
= 67,000,000 miles x (2.6 x 10^7)
Using scientific notation, this can be written as:
= 1.7 x 10^15 miles
Therefore, the distance from Earth to the sun is approximately 1.7 x 10^15 miles.