Henry is thinking of two numbers. When he multiplies these two numbers, the result is zero. We need to determine what can be concluded about the two numbers.

AlgebraZero-Product PropertyEquationsNumber Properties
2025/6/4

1. Problem Description

Henry is thinking of two numbers. When he multiplies these two numbers, the result is zero. We need to determine what can be concluded about the two numbers.

2. Solution Steps

Let the two numbers be aa and bb.
We are given that a×b=0a \times b = 0.
We know that if the product of two numbers is zero, then at least one of the numbers must be zero. This is the zero-product property.
Therefore, either a=0a = 0 or b=0b = 0 (or both).

3. Final Answer

At least one of the numbers must be zero.

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