# Concept derivation guides

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Concept guide



## [Arithmetic operations: whether the same inputs give a defined result in ℕ, ℤ and ℚ](/en/derivations/derivation-mko-arithmetic-operations-01/?from=%2Fen%2Fderivations%2F%3Fq%3Dmko-arithmetic-operations)

Take a=3 and b=5. In each of the number systems ℕ (including 0), ℤ and ℚ, decide whether a+b, a·b, a−b and a÷b are defined; when they are, compute the result and decide which systems it belongs to. Then decide whether 3÷0 and 0÷0 are defined in these three systems.

Arithmetic operations

derivation-mko-arithmetic-operations-01





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