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Math Help - MEGSSS help?

  1. #1
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    Question MEGSSS help?

    I am in 6th grade MEGSSS (advandced math) and I don't really understand tonight's homework. The teacher gave us modulo 7 multiplication. I have no idea what that is. If it helps, the first problem is 5x 3 (modulo 7).
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  2. #2
    o_O
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    Just multiply the numbers as you would normally and then figure out the least residue (remainder) modulo 7:
    5 \cdot 3 \equiv 15 \equiv 1 \ (\text{mod }7)
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    I'm not sure whether in 6th grade you'll know about the meaning of "residue class"
    Quote Originally Posted by Epicusername View Post
    I am in 6th grade MEGSSS (advandced math) and I don't really understand tonight's homework. The teacher gave us modulo 7 multiplication. I have no idea what that is. If it helps, the first problem is 5x 3 (modulo 7).
    Working modulo 7 means that whatever result you have, you work with the remainder of this result in the Euclidian division by 7.

    Since 15=7x2+1, its remainder in the Euclidian division by 7 is 1.
    Thus 15 \equiv 1 \bmod 7


    Basically, if a \equiv b \bmod c, then c divides a-b.
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