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 (2.6×10^7 miles).

Distance from Earth to the sun = Distance from Venus to the sun + Distance that Earth is farther
Distance from Earth to the sun = 67,000,000 miles + 2.6×10^7 miles
Distance from Earth to the sun = 92,600,000 miles

Writing the answer in scientific notation to 1 decimal place, we have:

Distance from Earth to the sun = 9.3×10^7 miles

1 answer

Your calculation of the distance from Earth to the Sun based on the distance from Venus to the Sun and the additional distance Earth is farther is correct.

Here’s the breakdown:

  1. Distance from Venus to the Sun: \( 67,000,000 \) miles or \( 6.7 \times 10^7 \) miles.
  2. Distance that Earth is farther: \( 2.6 \times 10^7 \) miles.
  3. To find the total distance from Earth to the Sun, we simply add these two distances together:

\[ \text{Distance from Earth to the Sun} = 6.7 \times 10^7 + 2.6 \times 10^7 \]

When you add these:

\[ (6.7 + 2.6) \times 10^7 = 9.3 \times 10^7 \text{ miles} \]

Thus, the final answer in scientific notation to one decimal place is indeed:

Distance from Earth to the Sun = \( 9.3 \times 10^7 \) miles.

This matches standard estimates, as the accepted average distance from Earth to the Sun (1 Astronomical Unit) is approximately \( 93,000,000 \) miles or \( 9.3 \times 10^7 \) miles.