What is the intersection of real numbers and rational numbers?

What is the intersection of real numbers and rational numbers?

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Q. What is the intersection of real numbers and rational numbers?

Set of rational numbers (Q) & set of irrational numbers (I) are disjoint sets. Their intersection is empty set. And their union is set of real numbers. Real & imaginary numbers sets are discount sets.

Q. What is the intersection of the set of integers and natural numbers?

We know that the set of natural numbers is a subset of the integer numbers so the common elements of the sets are natural numbers that proves the set of natural numbers intersect with the set of integers numbers is equal to the set of natural numbers.

Q. What is the intersection of the set of rational and irrational numbers is 0?

By definition I=R−Q , where R=(−∞,∞) is the set of all real numbers. But the set of rational and irrational numbers are disjoint, ie. they have empty intersection, and R is a topological space.

Q. What is the intersection of integers and whole numbers?

By the definition of the intersection of two sets, the intersection of the whole numbers and the negative integers would be the empty set, or a set…

Q. What is the intersection of the set of integers?

The intersection contains the elements that the two sets have in common. The intersection is where the two sets overlap. In set-builder notation, A ∩ B = {x ∈ U : x ∈ A and x ∈ B}.

Q. What whole number is not a natural number?

Zero (0) is not a natural number but a whole number.

Q. Is 0 and rational?

Yes, 0 is a rational number. Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to zero. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.

Q. Is the square root of 2 3 rational or irrational?

23 is a rational number.

Q. Why is 2/3 a rational number?

In mathematics rational means “ratio like.” So a rational number is one that can be written as the ratio of two integers. For example 3=3/1, −17, and 2/3 are rational numbers. Most real numbers (points on the number-line) are irrational (not rational).

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