What’s on the Modular Arithmetic poster?

5 numbered steps. Working in ℤₙ, the integers modulo n. Reduce as you go — a ≡ b (mod n) means n divides a − b. Reduce at every step.; Add and multiply freely — Congruence respects + and ×, so reduce before or after eith…; Treat division separately — a has an inverse mod n exactly when gcd(a, n) = 1.; Find inverses — Run the extended Euclidean algorithm on a and n.; Use Fermat or Euler — For prime p not dividing a, a^(p−1) ≡ 1 (mod p).. Cancellation fails in general: 2 × 3 ≡ 2 × 8 (mod 10), yet 3 is not congruent to 8. Only units may ever be cancelled.

Who is the Modular Arithmetic poster for?

Modular Arithmetic belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning abstract algebra can pin it up — a beginner, a student mid-course, or someone revising years later.

When should you use the Modular Arithmetic poster?

For number-theory problems, cryptography, and anything cyclic. A wall chart earns its place by being glanceable from where the work is happening, so Modular Arithmetic belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.

What other posters go with Modular Arithmetic?

Common Finite Groups, Cosets & Normal Subgroups and Cyclic Groups sit alongside Modular Arithmetic in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.

Is the Modular Arithmetic poster free to download and print?

Yes. Modular Arithmetic downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.

What size does the Modular Arithmetic poster print at?

Modular Arithmetic is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Modular Arithmetic loses nothing.

Modular Arithmetic — free printable poster

Modular Arithmetic — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Modular Arithmetic, step by step

Working in ℤₙ, the integers modulo n.

Reduce as you goa ≡ b (mod n) means n divides a − b. Reduce at every step.
Add and multiply freelyCongruence respects + and ×, so reduce before or after either one.
Treat division separatelya has an inverse mod n exactly when gcd(a, n) = 1.
Find inversesRun the extended Euclidean algorithm on a and n.
Use Fermat or EulerFor prime p not dividing a, a^(p−1) ≡ 1 (mod p).

Cancellation fails in general: 2 × 3 ≡ 2 × 8 (mod 10), yet 3 is not congruent to 8. Only units may ever be cancelled.

Questions about the Modular Arithmetic poster

What’s on the Modular Arithmetic poster?: 5 numbered steps. Working in ℤₙ, the integers modulo n. Reduce as you go — a ≡ b (mod n) means n divides a − b. Reduce at every step.; Add and multiply freely — Congruence respects + and ×, so reduce before or after eith…; Treat division separately — a has an inverse mod n exactly when gcd(a, n) = 1.; Find inverses — Run the extended Euclidean algorithm on a and n.; Use Fermat or Euler — For prime p not dividing a, a^(p−1) ≡ 1 (mod p).. Cancellation fails in general: 2 × 3 ≡ 2 × 8 (mod 10), yet 3 is not congruent to 8. Only units may ever be cancelled.
Who is the Modular Arithmetic poster for?: Modular Arithmetic belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning abstract algebra can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Modular Arithmetic poster?: For number-theory problems, cryptography, and anything cyclic. A wall chart earns its place by being glanceable from where the work is happening, so Modular Arithmetic belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Modular Arithmetic?: Common Finite Groups, Cosets & Normal Subgroups and Cyclic Groups sit alongside Modular Arithmetic in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Common Finite Groups Cosets & Normal Subgroups Cyclic Groups
Is the Modular Arithmetic poster free to download and print?: Yes. Modular Arithmetic downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Modular Arithmetic poster print at?: Modular Arithmetic is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Modular Arithmetic loses nothing.Printing guide

Modular Arithmetic, step by step

Questions about the Modular Arithmetic poster

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