Question

Help plzzzz I don't understand how to do this

Answer 1

Mercury's distance = 5.8 x 10¹⁰

Venus' distance = 1.86 farther or more than Mercury's, namely 1.86(5.8 x 10¹⁰)

Earth's distance = 2.58 farther or more than Mercury's, namely 2.58(5.8 x 10¹⁰)

`\bf \stackrel{\textit{venus' distance}}{1.86(5.8* 10^(10))}\implies \begin{cases} 1.86(58000000000)\\ 107880000000\\ 1.0788* 10^(11) \end{cases} \\\\\\ \stackrel{\textit{earth's distance}}{2.58(5.8* 10^(10))}\implies \begin{cases} 2.58(58000000000)\\ 149640000000\\ 1.4964* 10^(11) \end{cases}`

about how many meters farther is Earth's than Venus? well, we can simply get their difference, we know the Earth is farther than Venus, so we can just subtract Venus' distance from Earth's to get the difference, namely 149640000000 - 107880000000.

`\bf \stackrel{earth}{149640000000} - \stackrel{venus}{107880000000}~~ = ~~41760000000\implies \stackrel{\textit{rounded up}}{4.2* 10^(10)}`