To find out how many times farther Neptune is from the sun compared to Jupiter, we need to divide the distance to Neptune by the distance to Jupiter.
The distances are:
- Distance to Neptune: \( 4.5 \times 10^9 \) kilometers
- Distance to Jupiter: \( 7.78 \times 10^8 \) kilometers
Let's perform the calculation:
\[ \text{Number of times farther} = \frac{4.5 \times 10^9}{7.78 \times 10^8} \]
We can simplify this by dividing the coefficients and then handling the powers of ten:
\[ = \frac{4.5}{7.78} \times \frac{10^9}{10^8} \]
\[ = \frac{4.5}{7.78} \times 10^{(9-8)} \]
\[ = \frac{4.5}{7.78} \times 10^1 \]
Calculating \(\frac{4.5}{7.78}\):
\[ 4.5 \div 7.78 \approx 0.5771 \]
Now, multiplying by \(10^1\):
\[ 0.5771 \times 10 = 5.771 \]
Rounding to the nearest tenth, we get:
\[ 5.8 \]
Thus, Neptune is approximately 5.8 times farther from the sun than Jupiter.
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