Natural numbers are positive integers, also known as counting numbers. Some examples are 3, 4, 4359.
The set of positive whole numbers is not closed under subtraction! In order for a set of numbers to be closed under some operation would mean that if you take any two elements of that set and use the operation the resulting "answer" would also be in the original set.26 is a positive whole number.40 is a positive whole number.However 26-40 = -14 which is clearly not a positive whole number. So positive whole numbers are not closed under subtraction.
Whole numbers are numbers from 0 to infinity. They must be numbers that are not fractions or decimals, and must be positive. Integers can be any numbers that are whole, negative or positive. Zero is not a positive number. Neither is it negative. Rational numbers are an fraction. Eg: 6/10 or 6/6 They can also be whole numbers because 6/6 is also 1. Counting numbers are also numbers 1-infinity, but once again, it is all whole numbers, meaning that they are not decimals or some thing like: .1 or 1/2
It depends. Some authors consider "Whole Numbers" to be the positive integers, some consider them to be the non-negative integers, and some consider them to be all integers. For the first two definitions, numbers like -3 would not be considered "whole numbers". With the last definition, negative numbers like -3 would be considered a "whole number".
Some rational numbers are whole numbers, some are not. The set of whole numbers is a proper subset of rational numbers.
Natural numbers are positive integers, also known as counting numbers. Some examples are 3, 4, 4359.
The set of positive whole numbers is not closed under subtraction! In order for a set of numbers to be closed under some operation would mean that if you take any two elements of that set and use the operation the resulting "answer" would also be in the original set.26 is a positive whole number.40 is a positive whole number.However 26-40 = -14 which is clearly not a positive whole number. So positive whole numbers are not closed under subtraction.
Whole numbers are numbers from 0 to infinity. They must be numbers that are not fractions or decimals, and must be positive. Integers can be any numbers that are whole, negative or positive. Zero is not a positive number. Neither is it negative. Rational numbers are an fraction. Eg: 6/10 or 6/6 They can also be whole numbers because 6/6 is also 1. Counting numbers are also numbers 1-infinity, but once again, it is all whole numbers, meaning that they are not decimals or some thing like: .1 or 1/2
Whole numbers refers to numbers that have no decimal or fractional part, such as 0, 1, 2, 3, 4, ... -1, -2, -3, ...
It depends. Some authors consider "Whole Numbers" to be the positive integers, some consider them to be the non-negative integers, and some consider them to be all integers. For the first two definitions, numbers like -3 would not be considered "whole numbers". With the last definition, negative numbers like -3 would be considered a "whole number".
Actually, the "set of whole numbers" doesn't have a unique definition, so it's better to avoid that term, at least in professional circles. For some people, "whole numbers" means positive numbers (usually including zero), for others, it means "integers" (i.e., both positive and negative whole numbers). The only thing you can be sure about when the term "whole numbers" is used is that it does NOT include fractions or numbers with decimals. The term "natural numbers", on the other hand, was originally used for whole numbers starting with 1; but in recent decades, it has become quite common to include zero. To avoid confusion, you better use terms such as: "Positive integers" (greater or equal to 1) "Non-negative integers" (greater or equal to 0) "Integers" (any whole number, can be zero, positive, negative).
Positive and negative whole numbers: -39, 67, 0, 58, -4 Integers are just negative and positive real numbers and zero. Here is a list: ...... -3, -2, -1, 0, 1, 2, 3, ...... The list continues in both directions.
Some rational numbers are whole numbers, some are not. The set of whole numbers is a proper subset of rational numbers.
All nonzero numbers have factors. Some numbers have some of the same factors as other numbers. These are called common factors. Some factors are positive numbers. Common factors which are positive numbers would be called positive common factors.
soem rational numbers are whole numbers
There are no whole numbers that are not also counting numbers. Both terms mean the same subset of numbers: positive integers greater than zero. Some people consider zero to be a whole number but not a counting number, because you can't "count" zero.
No. All whole numbers are integers and all integers are whole numbers.