Question

select the correct answer. the distance between neptune and the sun is 30.06 au. what is this distance in millions of kilometers? (one au is about 150 million kilometers.) a. 450 million kilometers b. 450.9 million kilometers c. 4,500 million kilometers d. 4,509 million kilometers

Explanation:

Step1: Identify the conversion factor

We know that 1 AU is about 150 million kilometers. The distance to calculate is 30.06 AU.

Step2: Multiply the number of AU by the conversion factor

To find the distance in million kilometers, we multiply 30.06 (AU) by 150 (million kilometers per AU). So the calculation is $30.06\times150$.
Calculating $30.06\times150$:
First, calculate $30\times150 = 4500$ and $0.06\times150=9$. Then add them together: $4500 + 9=4509$? Wait, no, wait, maybe I made a mistake. Wait, 30.06 * 150:
$30.06\times150=(30 + 0.06)\times150=30\times150+0.06\times150 = 4500+9 = 4509$? But the options are A. 450, B. 450.9, C. 4,500, D. 4,509. Wait, maybe the original problem's AU to million km is 150 million km per AU? Wait, maybe I misread. Wait, the problem says "One AU is about 150 million kilometers". So 1 AU = 150 million km. Then 30.06 AU is 30.06 150 million km. Let's calculate 30.06 150:
30.06 * 150:
30 * 150 = 4500
0.06 * 150 = 9
So total is 4500 + 9 = 4509? But the options: D is 4,509 million kilometers. Wait, but maybe the AU is 150 million km? Wait, maybe I miscalculated. Wait, 30.06 * 150:
30.06 150 = 30.06 100 + 30.06 * 50 = 3006 + 1503 = 4509. So the answer should be D. 4,509 million kilometers. Wait, but let me check the options again. The options are:
A. 450 million kilometers
B. 450.9 million kilometers
C. 4,500 million kilometers
D. 4,509 million kilometers

Yes, so 30.06 * 150 = 4509, so the answer is D.

Answer:

D. 4,509 million kilometers