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The natural numbers are {1, 2, 3, 4, 5, 6, ...}. The ellipse (...) is to show that there are an infinite number of natural numbers that continue to get greater to infinity.
The natural numbers are not enough to represent all quantities we observe in life because they do not include zero or fractions. Negative numbers and irrational numbers also serve as additional sets which we require. Finally the imaginary numbers are added to make our system complete as far as the four basic operations and powers are concerned.
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∙ 12y ago
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What prompted the need to extend the system of natural numbers to the system of integers?
Natural numbers are separate from integers. I can't believe this was asked 9 years ago . . .
What are differences between natural numbers and real numbers?
Natural numbers extend from 1 to positive infinity.Real numbers are all numbers between negative infinity and positive infinity.ALL natural numbers are real numbers, but NOT ALLreal numbers are natural numbers.
Are natural numbers real numbers?
Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.
What is the intersection between rational numbers and natural numbers?
It is the set of natural numbers.
What are the difference between natural numbers and irrational numbers?
All natural numbers are rational numbers. No irrational numbers are natural numbers.
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.
Why they gave a symbol N for natural numbers?
N stands for natural/normal. it was the first set of numbers ever classified, and was actually only classified after imaginary and complex numbers, coz before that, there was no need.
Are natural numbers the same of rational numbers?
The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.
Do set of natural numbers contain sets of whole numbers?
No. Natural numbers are a subset of whole numbers. Negative numbers are whole numbers but not natural.
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'.
Are real numbers natural numbers?
No. Natural numbers are a proper subset of real numbers.
Are all numbers natural numbers?
All numbers are not natural numbers.Natural numbers are 1,2,3,4,5....
