MathNumber theory

Modular arithmetic

Congruences

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Suppose that $a \equiv a' \pmod m$ , $b \equiv b' \pmod m$ and $n \mid m$ . Select all true statements.

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a \equiv a' \pmod n

100a \equiv 100a' \pmod m

a^{2} - ab \equiv a^{2} - a'b' \pmod m

1 + a \equiv 1 - a' \pmod m

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