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In modulus arithmetic the only numbers involved are the whole numbers 0 to $m-1$ where $m$ is the modulus (or if you prefer it 1 to $m$). The multiplicative inverse of 7 (mod 26) is the number (equivalent to 1/7) that 7 is multiplied by to get the answer 1. The additive inverse of 17 is the number you add to 17 to get the answer 0 (mod 26).

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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