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Question
Give an example and verify the following statement.
Subtraction is not commutative for rational numbers
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Solution
let a = `1/2` and b = `-5/6` be two rational numbers.
a − b = `1/2 - (- 5/6)`
= `1/2 + (+ 5/6)`
= `3/6 + 5/6`
= `(3 + 5)/6`
= `8/6`
= `1 2/6`
= `1 1/3`
b − a = `-5/6 - 1/2`
= `-5/6 - 3/6`
= `(-5 - 3)/6`
= `(-8)/6`
= `-1 1/3`
a − b ≠ b − a
∴ Subtraction is not commutative for rational numbers.
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