What are the basic operations defined in the set of real numbers R? I - The addition is commutative and associative, has the neutral element 0 and...
What are the basic operations defined in the set of real numbers R?
I - The addition is commutative and associative, has the neutral element 0 and the additive inverse -a.
II - The multiplication is commutative and associative, has the neutral element 1 and the multiplicative inverse 1/a if a is different from 0.
III - The multiplication is distributive over addition, both to the right and to the left.
IV - The set of real numbers R is an ordered set, which can be represented graphically on a number line from left to right in order from smallest to largest.
a) Only I and II are correct.
b) Only II and III are correct.
c) Only III and IV are correct.
d) All statements are correct.
I - The addition is commutative and associative, has the neutral element 0 and the additive inverse -a.
II - The multiplication is commutative and associative, has the neutral element 1 and the multiplicative inverse 1/a if a is different from 0.
III - The multiplication is distributive over addition, both to the right and to the left.
IV - The set of real numbers R is an ordered set, which can be represented graphically on a number line from left to right in order from smallest to largest.
a) Only I and II are correct.
b) Only II and III are correct.
c) Only III and IV are correct.
d) All statements are correct.
💡 1 Resposta
Ed 
A resposta correta é a alternativa d) Todas as afirmações estão corretas. I - A adição é comutativa e associativa, possui o elemento neutro 0 e o inverso aditivo -a. II - A multiplicação é comutativa e associativa, possui o elemento neutro 1 e o inverso multiplicativo 1/a se a for diferente de 0. III - A multiplicação é distributiva em relação à adição, tanto à direita quanto à esquerda. IV - O conjunto dos números reais R é um conjunto ordenado, que pode ser representado graficamente em uma reta numérica da esquerda para a direita em ordem do menor para o maior.
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