Mathematics
Write T for true and F for false statement :
Subtraction is associative on natural numbers.
Whole Numbers
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Answer
False
Reason
For an operation to be associative, the following property must hold for any three numbers a, b, and c:
(a − b) − c = a − (b − c)
Let us take an example with natural numbers (e.g., 5, 3, and 1):
L.H.S. = (5 − 3) − 1 = 2 − 1 = 1
R.H.S. = 5 − (3 − 1) = 5 − 2 = 3
Since, 1 ≠ 3, the associative property does not hold for subtraction.
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