Final answer:
To find two numbers that are opposites and have a distance of 18 on the number line, we can use the property that opposites have the same distance from 0. The two numbers that meet the given conditions are 9 and -9.
Step-by-step explanation:
To find two numbers that are opposites and have a distance of 18 on the number line, we can use the property that opposites have the same distance from 0. Let's call the first number x. Since the second number is the opposite of x, it will be -x. The difference between x and -x is 18, so we can write the equation x - (-x) = 18. Simplifying, we get x + x = 18, which further simplifies to 2x = 18. Solving for x, we find that x = 9. Therefore, the two numbers that meet the given conditions are 9 and -9.