Q. Which equation has the correct sign on the product?A. (−8)(−8)=−64B. (−18)4=−72C. 45(−4)=180D. 13⋅3=−39
Evaluate Options: We will evaluate each option to determine which equation has the correct sign on the product. According to the rules of multiplication, the product of two numbers with the same sign is positive, and the product of two numbers with different signs is negative.
Option A Calculation: Let's evaluate option A: (−8)(−8). Since both numbers are negative, their product should be positive. Let's calculate the product: (−8)×(−8)=64.
Option B Calculation: Now let's check option B: (−18)×4. Since one number is negative and the other is positive, their product should be negative. Let's calculate the product: (−18)×4=−72.
Option C Calculation: Next, we evaluate option C: 45×(−4). Again, one number is positive and the other is negative, so their product should be negative. Let's calculate the product: 45×(−4)=−180.
Option D Calculation: Finally, let's evaluate option D: 13×3. Both numbers are positive, so their product should be positive. Let's calculate the product: 13×3=39.
Compare and Confirm: Comparing our calculations with the options given, we see that option A is the only one with the correct sign on the product. The product of (−8) and (−8) is indeed positive 64.
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