Suppose p is the greatest of five consecutive numbers. Describe the other four numbers in terms of p.
Given: p is the greatest of five consecutive numbers. Reasoning: In five consecutive numbers, each number differs from the next by 1. If p is the greatest, the number before it is p-1. The number before that is p-2, and so on. The five consecutive numbers from smallest to greatest are: p-4, p-3, p-2, p-1, p.
Answer: The other four numbers are p-4, p-3, p-2, and p-1.
Explanation
In five consecutive numbers, each number differs from the next by 1. If p is the greatest, then the number before it is p-1, the one before that is p-2, and so on. The five consecutive numbers from smallest to greatest are: p-4, p-3, p-2, p-1, p.
Solution Steps
Understand that consecutive numbers differ by 1.
Since p is the greatest, subtract 1 to find the previous number (p-1).
Continue subtracting 1 to find the remaining numbers (p-2, p-3, p-4).
List the four numbers smaller than p.