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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.
How are integers and rationals numbers different?
All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1. 5 is an integer, 2/3 is a fraction, both are rational.
What is the relationship between real number and rational number?
Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.
What type of numbers are said to be in rational form and are referred to as rational numbers?
They are numbers which are written in the form p/q where p and q are integers.
How real numbers are divided into subgroups?
The main subgroup is the rational numbers. The set of irrational numbers is not closed with regard to addition basic arithmetical operations and so does not form a group.
