1. The problem is to understand and compare the given distances from Earth expressed in scientific notation: $4.65 \times 10^{18}$ km, $2.4 \times 10^{19}$ km, $5.7 \times 10^{19}$ km, and $1.13 \times 10^{20}$ km. 2. Scientific notation is a way to express very large or very small numbers conveniently. It is written as $a \times 10^b$ where $a$ is a number between 1 and 10, and $b$ is an integer exponent. 3. To compare these distances, we look at the powers of 10 first. The larger the exponent $b$, the larger the number. 4. The exponents here are 18, 19, 19, and 20 respectively. So, $1.13 \times 10^{20}$ km is the largest distance. 5. For the two numbers with the same exponent 19, compare the coefficients: $2.4$ and $5.7$. Since $5.7 > 2.4$, $5.7 \times 10^{19}$ km is larger than $2.4 \times 10^{19}$ km. 6. Therefore, the order from smallest to largest distance is: $$4.65 \times 10^{18} < 2.4 \times 10^{19} < 5.7 \times 10^{19} < 1.13 \times 10^{20}$$ This helps us understand the scale of distances in space, such as those to galaxies or cosmic objects.