by taking any suitable examples check if the commutative and associative laws are true for subtraction for rational numbers
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The commutative and associative laws aren't true for subtraction of rational numbers.
Example:
-Commutative property--
4/2 - 3/2 = 1/2
but
3/2 - 4/2 = -1/2
1/2 and -1/2 are not equal.
Thus, rational numbers don't satisfy commutative property under subtraction.
The same goes for associative property.
(6/2 - 1/2) - 3/2 = 2/2 =1
but
(1/2 - 6/2) - 3/2 = -7/2
1 and -7/2 aren't equal.
Example:
-Commutative property--
4/2 - 3/2 = 1/2
but
3/2 - 4/2 = -1/2
1/2 and -1/2 are not equal.
Thus, rational numbers don't satisfy commutative property under subtraction.
The same goes for associative property.
(6/2 - 1/2) - 3/2 = 2/2 =1
but
(1/2 - 6/2) - 3/2 = -7/2
1 and -7/2 aren't equal.
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1
Nice Question
Step-by-step explanation:
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