a)16≡2(mod 7)
(b) 19≡6(mod 4)
(c) 530≡170 (mod 360)
Soluções para a tarefa
Respondido por
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Boa tarde Fabiana!
Solução!
A congruência dos números a e b módulo m, será indicada pelo símbolo
Uma pequena definição!
![A\\\\\
16\equiv2(mod7)\\\\\
Fazendo!\\\\\
16-2=14~~Logo!~~ 14|7=2 \in\mathbb{Z}~~S\~ao~~congruentes\\\\\\\\\\\\
B\\\\\\\
19\equiv6(mod4)\\\\\
Fazendo!\\\\\\
19-6=13~~Logo!~~13|4=3,25~~\not\in \mathbb{Z}~~N\~ao~~e~~congruente\\\\\\\\\
C\\\\\
530\equiv170(mod360)\\\\\\\
Fazendo!~~530-170=360~~Logo!~~360|360\in\mathbb{Z}~~S\~ao~~congruentes](https://tex.z-dn.net/?f=A%5C%5C%5C%5C%5C%0A16%5Cequiv2%28mod7%29%5C%5C%5C%5C%5C%0AFazendo%21%5C%5C%5C%5C%5C%0A16-2%3D14%7E%7ELogo%21%7E%7E+14%7C7%3D2+%5Cin%5Cmathbb%7BZ%7D%7E%7ES%5C%7Eao%7E%7Econgruentes%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0AB%5C%5C%5C%5C%5C%5C%5C%0A19%5Cequiv6%28mod4%29%5C%5C%5C%5C%5C%0AFazendo%21%5C%5C%5C%5C%5C%5C%0A19-6%3D13%7E%7ELogo%21%7E%7E13%7C4%3D3%2C25%7E%7E%5Cnot%5Cin+%5Cmathbb%7BZ%7D%7E%7EN%5C%7Eao%7E%7Ee%7E%7Econgruente%5C%5C%5C%5C%5C%5C%5C%5C%5C%0AC%5C%5C%5C%5C%5C%0A530%5Cequiv170%28mod360%29%5C%5C%5C%5C%5C%5C%5C%0AFazendo%21%7E%7E530-170%3D360%7E%7ELogo%21%7E%7E360%7C360%5Cin%5Cmathbb%7BZ%7D%7E%7ES%5C%7Eao%7E%7Econgruentes++%0A "A\\\\\
16\equiv2(mod7)\\\\\
Fazendo!\\\\\
16-2=14~~Logo!~~ 14|7=2 \in\mathbb{Z}~~S\~ao~~congruentes\\\\\\\\\\\\
B\\\\\\\
19\equiv6(mod4)\\\\\
Fazendo!\\\\\\
19-6=13~~Logo!~~13|4=3,25~~\not\in \mathbb{Z}~~N\~ao~~e~~congruente\\\\\\\\\
C\\\\\
530\equiv170(mod360)\\\\\\\
Fazendo!~~530-170=360~~Logo!~~360|360\in\mathbb{Z}~~S\~ao~~congruentes")
Boa tarde!
Bons estudos!
Solução!
A congruência dos números a e b módulo m, será indicada pelo símbolo
Uma pequena definição!
Boa tarde!
Bons estudos!
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