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Q: What is the relationship between counting numbers whole numbers integers and rational numbers?

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The set of integers is a proper subset of the set of rational numbers.

A rational number is one which can be expressed as a ratio of two integers.

A rational number is one which can be expressed as a ratio of two integers.

They are all numbers

The term "whole number" is somewhat ambiguous. It MAY refer to integers; or it MAY refer only to non-negative integers ("counting numbers").

No. There are infinitely many rational numbers between any two integers.

not necessarily... An integer is a rational number, but so is any real number between consecutive integers.

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.

Yes, all integers are rational numbers. A rational number can be expressed as a ratio between two integers; an integer can be thought of as (in this case), 875 / 1.

A rational number is one that can be written as a ratio - or fraction - between two integers. All integers can be written in the form (integer) / 1, and are therefore rational.

All integers and ratios between two integers are rational numbers. They are defined as p/q where p and q are integers and q is not 0. Therefore -41 is a rational number (and a negative integer as well).

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.

They do not. There is no relationship between rational numbers and rational decisions.

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, ...}.

All integers and ratios between two integers are rational numbers. They are defined as p/q where p and q are integers and q is not 0. Therefore -41 is a rational number (and a negative integer as well).

No, it is rational. A rational number is one which can be expressed as a ratio between two integers. Since 22 and 7 are both integers, then 22 over 7 is rational.

A Rational number is a fraction of two integers; a rational expression is a fraction that contains at least one variable

As the ratio between two integers, it's practically the very definition of rational.

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.

Rational counting involves matching each numeral name in order to an object, example "1penny, 2 pennies" Rote counting is reciting the numerals in order from memory "1,2,3,4,5 6,7,8,9,10".

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.

Answer vary according to the type of number. If we say, whole numbers, counting numbers or integers between 40 and 50 then the answer is 9. But, if we talk about rational numbers and irrational numbers between 40 and 50, then the answer is infinite.

None. Integers can be negative, absolute values cannot. Absiolute values can be rational or irrational fractions, integers cannot.

If you have drawn a number line counting in whole numbers, the integers are those whole number points. Any decimal numbers in between are not integers.

Counting numbers start at 1; whole numbers include zero.