Question

multiple choice
in your opinion, which equation does not belong?
explain your reasoning.

a 2 = 7 - 5 because it has a 2 in it and the rest have 5 and 7

b 5 + 7 = 7 + 5 because it is the only equation that uses addition

c 5 · 7 = 7 · 5 because it is the only one that involves multiplication

d 5 - 7 = 7 - 5 because it is not true. 5 - 7 = -2, but 7 - 5 = 2

Explanation:

Step1: Analyze Option A

The equation \(2 = 7 - 5\) is a valid subtraction equation (\(7 - 5=2\)). The reasoning about the number \(2\) is a bit arbitrary but the equation is mathematically correct.

Step2: Analyze Option B

The equation \(5 + 7 = 7 + 5\) is valid due to the commutative property of addition. It is the only one using addition among these options (others are subtraction or multiplication), so this reasoning is consistent with the equation's nature.

Step3: Analyze Option C

The equation \(5\times7 = 7\times5\) is valid due to the commutative property of multiplication. It is the only one using multiplication, so this reasoning is consistent with the equation's nature.

Step4: Analyze Option D

The equation \(5 - 7 = 7 - 5\) is not true. Calculate both sides: \(5 - 7=- 2\) and \(7 - 5 = 2\). Since \(-2
eq2\), this equation is mathematically incorrect, unlike the others which are correct (either true equations or following valid properties).

Answer:

D. \(5 - 7 = 7 - 5\) because it is not true. \(5 - 7=-2\), but \(7 - 5 = 2\)