On the set $A=\{1,2,3,4,5\}$ define a binary operation $*$ by $a * b = ((a+b)\bmod 5)$ with the convention that a result of $0$ is identified with $5$. Find the identity element of $(A,*)$ and compute $(3 * 4) * 2$.

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The identity element is 5 and $(3 * 4) * 2 = 4$.

Neco 2023 Further Mathematics Question 5

On the set \(A=\{1,2,3,4,5\}\) define a binary operation \(\) by \(a b = ((a+b)\bmod 5)\) with the convention that a result of \(0\) is identified with \(5\). Find the identity element of \((A,)\) and compute \((3 4) * 2\).

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Neco 2023 Further Mathematics Question 5

On the set \(A=\{1,2,3,4,5\}\) define a binary operation \(*\) by \(a * b = ((a+b)\bmod 5)\) with the convention that a result of \(0\) is identified with \(5\). Find the identity element of \((A,*)\) and compute \((3 * 4) * 2\).

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On the set \(A=\{1,2,3,4,5\}\) define a binary operation \(\) by \(a b = ((a+b)\bmod 5)\) with the convention that a result of \(0\) is identified with \(5\). Find the identity element of \((A,)\) and compute \((3 4) * 2\).