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Q: What are the natural numbers plus zero?
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What is a set of natural numbers and zero?

The set of natural numbers plus zero is the set of all non-negative integers. Please note that the definition for the set of natural numbers is ambiguous. Some definitions include zero, while others exclude it.


Are whole numbers and natural numbers integers?

Yes, because natural numbers are your counting numbers (1,2,3,4...) Whole numbers are natural numbers and zero (0,1,2,3...) and integers are all of the natural numbers and their opposites and zero (...-3,-2,-1,0,1,2,3...).


What natural numbers are whole numbers?

The set of counting numbers is the positive integers. The set of whole numbers is the positive integers plus zero. The term "natural numbers" has been used interchangeably with both of those sets.


Why does every integer have an opposite?

The numbers 1,2,3,... etc are called natural numbers or counting numbers. Integers are the natural numbers plus zero plus the negative ( or opposite ) natural numbers. Why do we need negative natural numbers ? For one thing x + 1 = 0 is an equation whose solution is x = -1. We could not solve this equation if we did not have negative integers. So over history these negative numbers came about as a way to solve certain math problems. The numbers 1,2,3,... etc are called natural numbers or counting numbers. Integers are the natural numbers plus zero plus the negative ( or opposite ) natural numbers. Why do we need negative natural numbers ? For one thing x + 1 = 0 is an equation whose solution is x = -1. We could not solve this equation if we did not have negative integers. So over history these negative numbers came about as a way to solve certain math problems.


How are natural an whole numbers different?

Negative integers are whole numbers but not natural numbers. Mathematicians are undecided about zero. It is a whole number: some believe zero is a natural number, others do not.

Related questions

Every natural numbers is a whole numbers?

Yes, the set of whole number is all of the natural numbers, plus zero.


What is a set of natural numbers and zero?

The set of natural numbers plus zero is the set of all non-negative integers. Please note that the definition for the set of natural numbers is ambiguous. Some definitions include zero, while others exclude it.


What is natural numbers and zero called?

When it is not included in the natural numbers, it is referred to as 'the natural numbers with zero'.


What is the mathematical term for a set of numbers containing all natural numbers and their oppisties plus zero?

The set of integers.


Does zero natural numbers?

No...zero is not a natural number, natural numbers start at the number 1.


What include the natural numbers and zero?

All of the natural numbers and zero are called integers.


Are whole numbers and natural numbers integers?

Yes, because natural numbers are your counting numbers (1,2,3,4...) Whole numbers are natural numbers and zero (0,1,2,3...) and integers are all of the natural numbers and their opposites and zero (...-3,-2,-1,0,1,2,3...).


What natural numbers are whole numbers?

The set of counting numbers is the positive integers. The set of whole numbers is the positive integers plus zero. The term "natural numbers" has been used interchangeably with both of those sets.


Why does every integer have an opposite?

The numbers 1,2,3,... etc are called natural numbers or counting numbers. Integers are the natural numbers plus zero plus the negative ( or opposite ) natural numbers. Why do we need negative natural numbers ? For one thing x + 1 = 0 is an equation whose solution is x = -1. We could not solve this equation if we did not have negative integers. So over history these negative numbers came about as a way to solve certain math problems. The numbers 1,2,3,... etc are called natural numbers or counting numbers. Integers are the natural numbers plus zero plus the negative ( or opposite ) natural numbers. Why do we need negative natural numbers ? For one thing x + 1 = 0 is an equation whose solution is x = -1. We could not solve this equation if we did not have negative integers. So over history these negative numbers came about as a way to solve certain math problems.


What is a set of numbers including zero and all the counting numbers?

Whole numbers are the set of natural or counting numbers inclding zero


What integer numbers that are not whole numbers. Natural numbers?

Zero


What Natural numbers their opposite or the negative numbers are zero?

The number zero is a natural number and so, by the uniqueness of numbers, it is the only one that meets the requirements.