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Which set is the intersection of integers and rational numbers?
The intersection of integers and rational numbers is the set of integers. Integers are whole numbers that can be positive, negative, or zero, while rational numbers are numbers that can be expressed as a ratio of two integers. Since all integers can be expressed as a ratio of the integer itself and 1, they are a subset of rational numbers, making their intersection the set of integers.
What is the relation between integers natural numbers whole numbers rational and irrational numbers?
Natural numbers = Whole numbers are a subset of integers (not intrgers!) which are a subset of rational numbers. Rational numbers and irrational number, together, comprise real numbers.
Why are natural numbers rational numbers?
Natural numbers are a special kind of Rational numbers. Rational numbers can be expressed as a fraction. (Positive) fractions with the same (nonzero) numerator and denominator are natural numbers, for example 9/9 = 1.
What is the intersection of the rational numbers and the irrational numbers?
Some would say that there is no intersection. However, if the set of irrational numbers is considered as a group then closure requires rationals to be a proper subset of the irrationals.
Is the square root of 81 rational?
Yes. The square root of 81 is 9 - a natural number and all natural numbers are rational numbers.
