Final answer:
The statement is false; the product of eleven negative factors is negative since eleven is an odd number. The product of an odd number of negative factors will always yield a negative result. Thus, the assertion about the product is incorrect.
Explanation:
Understanding the Product of Negative Factors
The statement "The product of eleven negative factors is negative" is False.
To illustrate this, let's consider the basic rules of multiplication concerning negative numbers:
- The product of two negative numbers is positive.
- Extending this, the product of four negative numbers is positive as well.
- Continuing this pattern, we can conclude that the product of any even number of negative factors results in a positive product, while the product of any odd number of negative factors results in a negative product.
Since eleven is an odd number, the product of eleven negative factors indeed results in a negative number. Therefore, the statement is incorrect; the correct understanding is that the product will be negative.
Learn more about negative numbers here:
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