is subtraction associative in rational numbers? explain with an example
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No, subtraction is NOT associative in rational numbers.
Step-by-step explanation:
No, unlike addition and multiplication, subtraction is NOT commutative! We know that for any two numbers a and b: a + b = b + a and ab = ba; however, unless a = b, there are an infinite number of examples or cases which illustrate why subtraction does not have a commutative property, example a - b does not equal b - a!
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Therefore from the above example we proved that the associative property is not valid on subtraction of any rational numbers in general, since when groupings of three terms are different, the resulting values differ.
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