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When multiplying two numbers, LIKE signs give:the same producta different producta positive producta negative product

Question

When multiplying two numbers,

LIKE signs give:

  • the same product
  • a different product
  • a positive product
  • a negative product
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Solution

To analyze the multiplication of two numbers with like signs, we should first understand the rules of multiplication with respect to positive and negative numbers.

  1. Understanding Like Signs:

    • When two numbers have the same sign (either both are positive or both are negative), their product will always be positive.
    • For example, (+a)(+b)=+ab (+a) \cdot (+b) = +ab and (a)(b)=+ab (-a) \cdot (-b) = +ab .
  2. Conclusion:

    • Thus, when multiplying two numbers with like signs, the end result will always yield a positive product.

In summary, when you multiply two numbers with like signs, you will obtain a positive product. Therefore, the correct answer to the question is "a positive product."

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