Question

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

Answer 1

\(a=b\mod m\) means \(\dfrac{a-b}{m}\in \mathbb{Z}\).

In other words, \(m\) divides evenly into \(a-b\).

Answer 2

\( 3 \mod 4 = 3\) 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 \(0\))

Answer 3

ok thank you for explaing

Answer 4

np