Analysis
Question Analysis
This question involves evaluating the truth of statements involving zero.
The main focus is on identifying incorrect arithmetic rules involving zero.
Key Concept Explanation
Adding 0 to any number does not change its value: a + 0 = a
Subtracting 0 from any number also leaves it unchanged: a − 0 = a
Dividing 0 by a non-zero number results in 0: 0 ÷ a = 0, as long as a ≠ 0
Dividing any number by 0 is undefined: a ÷ 0 = undefined
Step-by-Step Solution
Let’s examine each statement:
A. 5 − 0 = 5 → True
B. 0 + 7 = 7 → True
C. 0 ÷ 2 = 0 → True (0 divided by a non-zero number is 0)
D. 2 ÷ 0 = 0 → False (Division by 0 is undefined)
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