## 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?

1. zzr0ck3r

$$a=b\mod m$$ means $$\dfrac{a-b}{m}\in \mathbb{Z}$$. In other words, $$m$$ divides evenly into $$a-b$$.

2. zzr0ck3r

$$3 \mod 4 = 3$$ 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

ok thank you for explaing

4. zzr0ck3r

np