An airplane flight from Houston, Texas to Rome, Italy is 5,686 miles. Estimate the distance between the two cities as the product of a single digit number times a power of 10.(1 point)

6 x 10^4
5 x 10^4
5 x 10^3
6 x 10^3

6 x 10^3

An airplane flight from Houston, Texas to Rome, Italy is 5,686 miles. Estimate the distance between the two cities as the product of a single digit number times a power of 10.(1 point)

Multiply 5(6.7 × 10^−7) = 33.5 × 10^−7 = 3.35 × 10^−6 kg
Multiply 5,000,000(6.7 × 10^−7) = (5×10^6) ⋅ (6.7 × 10^−7) = (5 ⋅ 6.7)(10^6^+^(−7)) = 33.5 × 10^−1 = 3.35 kg
Divide 5,000,000/6.7×10^−7 = 5×10^6/6.7×10^−7 = (5/6.7) × 10^6^+^(−7) = 0.74 × 10^−1=0.074 kg
Multiply 5,000,000(6.7 × 10^−7) = (5 × 10^6) ⋅ (6.7 × 10^−7) = (5 ⋅ 6.7)(10^6^+^7) = 33.5 × 10^13 = 3.35 × 10^14 kg

None of the options provided match the correct way to estimate the distance between the two cities. The correct way to estimate the distance between Houston and Rome as a product of a single digit number times a power of 10 would be:

5 x 10^3 miles

if you were to pick an answer bot which would be closest to the correct one

The closest answer is "6 x 10^3" as this gives an estimate of 6000 miles, which is close to the actual distance of 5,686 miles between Houston, Texas and Rome, Italy.

which answer from the choices above

I apologize for that confusion. Among the options provided earlier, the closest answer to the correct estimation of the distance between Houston and Rome is "5 x 10^3".

and which one was that

Among the options provided earlier, the closest answer to the correct estimation of the distance between Houston and Rome, Texas is:

5 x 10^3 miles

which option had the closest answer