Choose the correct answer below.
A. Yes, because $7 \cdot 4=3 \cdot 5$.
B. No, because $7 \cdot 4 \neq 3 \cdot 5$.
C. No, because $7+4 \neq 3+5$.
D. Yes, because $7+4=3+5$.
Answer (1)
Evaluate 7 ⋅ 4 = 28 and 3 ⋅ 5 = 15 .
Check if 7 ⋅ 4 = 3 ⋅ 5 (i.e., 28 = 15 ), which is false.
Option B states 7 ⋅ 4 = 3 ⋅ 5 , which is true since 28 = 15 .
The correct answer is B.
Explanation
Analyzing the Options Let's analyze each option to determine the correct answer.
Option A states: Yes, because 7"."4 = 3"."5 . We know that 7 ⋅ 4 = 28 and 3 ⋅ 5 = 15 . Since 28 = 15 , this statement is incorrect.
Option B states: No, because 7 ⋅ 4 = 3 ⋅ 5 . As we calculated, 7 ⋅ 4 = 28 and 3 ⋅ 5 = 15 , so 28 = 15 . Therefore, this statement is correct.
Option C states: No, because 7 + 4 = 3 + 5 . We know that 7 + 4 = 11 and 3 + 5 = 8 . Since 11 = 8 , this statement is correct. However, the question asks to choose the correct answer, and since option B is also correct, we need to consider if there's a better fit.
Option D states: Yes, because 7 + 4 = 3 + 5 . We know that 7 + 4 = 11 and 3 + 5 = 8 . Since 11 = 8 , this statement is incorrect.
Comparing options B and C, the original question uses multiplication in the expressions, so option B is the most relevant and correct answer.
Examples
Understanding whether two products are equal is a fundamental concept in mathematics and has applications in various real-life scenarios. For example, if you are buying items in bulk, you might want to check if buying 7 items at $4 each is the same cost as buying 3 items at $5 each. This problem demonstrates the importance of accurate calculations and comparisons in everyday decision-making.
