The distance from Mercury to the sun is about 35,000,000 miles. The distance from the earth to the sub is about 5.8 x 10 ^7 farther. What is the distance from earth to the sun? write answer in scientific notation to 1 decimal place.

Question

____x 10^7 miles

Answer 1

To find the distance from Earth to the Sun, we need to add the distance from Mercury to the Sun and the additional distance from Mercury to Earth.

The distance from Mercury to the Sun is given as: \[ 35,000,000 \text{ miles} \]

This can be expressed in scientific notation as: \[ 3.5 \times 10^{7} \text{ miles} \]

The distance from Earth to Mercury is given as: \[ 5.8 \times 10^{7} \text{ miles} \]

Now, we can calculate the distance from Earth to the Sun by adding these two distances together: \[ \text{Distance from Earth to the Sun} = \text{Distance from Mercury to Sun} + \text{Distance from Mercury to Earth} \] \[ = 3.5 \times 10^{7} + 5.8 \times 10^{7} \]

To add these, we combine the coefficients: \[ = (3.5 + 5.8) \times 10^{7} \] \[ = 9.3 \times 10^{7} \text{ miles} \]

Thus, the distance from Earth to the Sun is: \[ \boxed{9.3 \times 10^{7}} \text{ miles} \]