MathNumber theory

Modular arithmetic

Operations

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Suppose $a, b, m$ are integers and $m$ divides $b$ . Which of these statements are necessarily true?

Select one or more options from the list

a + b \equiv a \pmod m

a + b \equiv b \pmod m

a \cdot b \equiv a \pmod m

a \cdot b \equiv 0 \pmod m

a \cdot b \equiv b \pmod m

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