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Why does every rational number have a additive inverse?
The rational numbers form an algebraic structure with respect to addition and this structure is called a group. And it is the property of a group that every element in it has an additive inverse.
What is a rational group?
A rational group is a mathematical concept in group theory that refers to a group whose elements can be expressed in terms of rational numbers or, more generally, in terms of a rational field. Specifically, it often pertains to the study of algebraic groups and their rational points, where the group operations can be defined using rational coefficients. In this context, a group is considered rational if it has a set of generators and relations that can be defined over a rational field, making it possible to analyze its structure within the realm of rational numbers.
Is 48 rational or irrational?
No, it is rational.
Is the negative square root of nine rational or irrational?
It is rational. It is rational. It is rational. It is rational.
What is an rational?
"Rational" is an adjective and so there cannot be "a rational" (and certainly not "an rational"). Any answer would depend on whether the question was about a rational number, a rational person, a rational argument or "a rational" combined with some other noun.
Why does every rational number have a additive inverse?
The rational numbers form an algebraic structure with respect to addition and this structure is called a group. And it is the property of a group that every element in it has an additive inverse.
Is 0.34343434 rational or irrational?
Rational
Is 1.14 is irrational or rational?
1.14 is rational.
Is 4.6 irrational or rational?
4.6 is rational.
Is 48 rational or irrational?
No, it is rational.
Is the negative square root of nine rational or irrational?
It is rational. It is rational. It is rational. It is rational.
Is 12.67 rational or irrational?
It is a rational number
What is the difference between rational and logical thinking?
Rational thinking involves making decisions based on reason and evidence, while logical thinking involves following a set of principles or rules to reach a conclusion. Rational thinking considers emotions and values, while logical thinking focuses on the structure of arguments.
Is 0.682 a rational or irrational?
No, it is rational.
Is 6 rational or irrational?
Rational.
Is 4.83 rational or irrational?
It is rational
Is 0.38 rational or irrational?
0.38 is a rational number because it can be expressed as a fraction
