Which comparison sentence best represents the equation 6×7=42 ?
7 is 6 times as many as 42 or 6 is 7 times as many as 42 or 42 is 6 times as many 7.
The Correct Answer and Explanation is:
To analyze the equation (6 \times 7 = 42) and determine the best comparison sentence, we need to consider the relationships among the numbers involved in this multiplication.
- Understanding the Multiplication: The equation (6 \times 7 = 42) indicates that if you take the number 6 and multiply it by 7, you will obtain 42. Here, 6 is referred to as the multiplicand, 7 is the multiplier, and 42 is the product.
- Evaluating the Comparison Sentences:
- “7 is 6 times as many as 42”: This statement is incorrect because it implies that if you take 6 and multiply it by 7, you should get 42. In reality, 42 is the result of (6) multiplied by (7), not the other way around.
- “6 is 7 times as many as 42”: This statement is also incorrect. If 6 were 7 times as many as 42, the equation would imply that (6 = 7 \times 42), which is not true since (7 \times 42 = 294).
- “42 is 6 times as many as 7”: This statement is correct. This can be mathematically verified: if we take 7 and multiply it by 6, we indeed get 42 (i.e., (7 \times 6 = 42)).
- Conclusion: Among the three options provided, the sentence “42 is 6 times as many as 7” best represents the equation (6 \times 7 = 42). This shows the direct relationship defined by multiplication, illustrating that 42 is derived from multiplying 7 by 6, hence demonstrating a valid mathematical comparison.
In summary, understanding multiplication not only helps in solving equations but also aids in making accurate comparisons about the relationships between the numbers involved. Thus, the sentence “42 is 6 times as many as 7” effectively communicates the essence of the multiplication equation.