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eva12

  • one year ago

1. -43=3 mod 4. true or false answer is false 3 mod 4 =3 why? and -43 mod 4=1 why?

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  1. zzr0ck3r
    • one year ago
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    \(a=b\mod m\) means \(\dfrac{a-b}{m}\in \mathbb{Z}\). In other words, \(m\) divides evenly into \(a-b\).

  2. zzr0ck3r
    • one year ago
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    \( 3 \mod 4 = 3\) because \(0<3<4\) \(-43 \mod 4=1\) because if you keep adding \(4\) to \(-43\) until you get a number between \(1\) and \(4\), that number will be \(1\). You can think of this question that way also \( 3 \mod 4 = 3\) because \(0<3<4\) If we keep add a multiple of \(4\) to \(3\) until we get a number between \(1\) and \(4\) that number will be \(3\) (the multiple of \(4\) in this case is \(0\))

  3. eva12
    • one year ago
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    ok thank you for explaing

  4. zzr0ck3r
    • one year ago
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    np

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