State True or False.
If the product of two numbers is zero, then at least one of them is zero.

Answer

To determine whether the statement "If the product of two numbers is zero, then at least one of them is zero" is true or false, we can analyze it step by step.

### Step 1: Understand the Statement
The statement claims that if you multiply two numbers and the result (product) is zero, then at least one of those numbers must be zero.

### Step 2: Consider the Definition of Multiplication
In multiplication, if you multiply any number by zero, the result will always be zero. For example:
- \( 1 \times 0 = 0 \)
- \( 2 \times 0 = 0 \)
- \( 3 \times 0 = 0 \)

### Step 3: Analyze the Implication
Now, let's consider the implications of the statement:
- If the product of two numbers \( a \) and \( b \) is zero (i.e., \( a \times b = 0 \)), we need to check if it necessarily means that either \( a = 0 \) or \( b = 0 \).

### Step 4: Use Examples
We can use examples to illustrate this:
- Example 1: Let \( a = 0 \) and \( b = 5 \). Then, \( 0 \times 5 = 0 \) (here, \( a \) is zero).
- Example 2: Let \( a = 7 \) and \( b = 0 \). Then, \( 7 \times 0 = 0 \) (here, \( b \) is zero).
- Example 3: Let \( a = 0 \) and \( b = 0 \). Then, \( 0 \times 0 = 0 \) (both numbers are zero).

In all these examples, at least one of the numbers is zero whenever the product is zero.

### Step 5: Conclusion
Based on our analysis and examples, we can conclude that the statement is true. If the product of two numbers is zero, then at least one of them must be zero.

### Final Answer
**True**

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