the approximate average distances from the sun to jupiter and mercury are listed below: jupiter: 7.78 × 10^8…

the approximate average distances from the sun to jupiter and mercury are listed below: jupiter: 7.78 × 10^8 kilometers mercury: 5.79 × 10^7 kilometers how many times farther from the sun is jupiter? write your answer in standard notation, rounding to the nearest tenth. answer attempt 1 out of 2 answer:

the approximate average distances from the sun to jupiter and mercury are listed below: jupiter: 7.78 × 10^8 kilometers mercury: 5.79 × 10^7 kilometers how many times farther from the sun is jupiter? write your answer in standard notation, rounding to the nearest tenth. answer attempt 1 out of 2 answer:

Answer

Explanation:

Step1: Set up the division

To find how many times farther Jupiter is from the sun compared to Mercury, we divide Jupiter's distance by Mercury's distance. So we have $\frac{7.78\times 10^{8}}{5.79\times 10^{7}}$.

Step2: Use exponent - division rule

According to the rule $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$, we get $\frac{7.78}{5.79}\times10^{8 - 7}$.

Step3: Calculate the fraction and the exponent

$\frac{7.78}{5.79}\approx1.3437$ and $10^{8 - 7}=10^{1}$. Then $1.3437\times10^{1}=13.437$.

Step4: Round to the nearest tenth

Rounding $13.437$ to the nearest tenth gives $13.4$.

Answer:

$13.4$