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What is the relationship between counting numbers whole numbers integers and rational numbers?
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What is the relationship between integers and rational numbers?
The set of integers is a proper subset of the set of rational numbers.
What is the relationship between a ratio and rational numbers?
A rational number is one which can be expressed as a ratio of two integers.
What is the relationship between real numbers integers rational and irrational numbers and whole numbers?
They are all numbers
Is it possible to count the number of rational numbers there are between any two integers?
No. There are infinitely many rational numbers between any two integers.
What is the difference between integer and rational numbers?
An integer is a whole number: a countng number, zero or a negative counting number. That is, an element of the set {..., -3, -2, -1, 0, 1, 2, 3, ...}. A rational number is one that can be expressed in the form x/y where x and y are integers, and y is not zero.
What is the relationship between integers and rational numbers?
The set of integers is a proper subset of the set of rational numbers.
What is the relationship between a ratio and rational numbers?
A rational number is one which can be expressed as a ratio of two integers.
What is the relationship between real numbers integers rational and irrational numbers and whole numbers?
They are all numbers
What is the relationship between whole numbers and integers?
The term "whole number" is somewhat ambiguous. It MAY refer to integers; or it MAY refer only to non-negative integers ("counting numbers").
Is it possible to count the number of rational numbers there are between any two integers?
No. There are infinitely many rational numbers between any two integers.
Why rational numbers were required?
First of all counting numbers (positive integers) are rational numbers so without rational numbers there would be no counting. You could not equitably share one item between two or more people without fractions (rational numbers). Everything does not come in whole numbers - there are times when you need half-a-day, or 2.5 teaspoons, etc.
What is the difference between ratio and rational numbers?
Rational numbers are equivalent to ratios of two integers (the denominator being non-zero). A ratio is a relationship between two set of values. For example, the ratio of the circumference of a circle to its diameter is pi, which is not a rational number.
Is a rational number a subset of the set of integers?
not necessarily... An integer is a rational number, but so is any real number between consecutive integers.
What is the relationship between rational numbers and ratios?
A rational number is one which can be expressed as a ratio of two integers.
What is the difference between integer and rational numbers?
An integer is a whole number: a countng number, zero or a negative counting number. That is, an element of the set {..., -3, -2, -1, 0, 1, 2, 3, ...}. A rational number is one that can be expressed in the form x/y where x and y are integers, and y is not zero.
What is the relationship between irrational numbers and rational numbers?
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.
What is the difference between integers and counting numbers?
The counting numbers are {1, 2, 3, ...}. The integers are the counting numbers, their opposites (-1, -2, ...) and zero. So they are {..., -2, -1, 0, 1, 2, ...}.
