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Which counting numbers are also whole numbers?

  • Last Updated : 03 Sep, 2021

A number is a mathematical value used for measuring, counting, and performing different arithmetic calculations such as addition, subtraction, division, multiplication. A number system is characterized as an arrangement of writing to express numbers. It is the mathematical notation for addressing numbers. It provides a unique representation of every number. Numbers have different categories such as natural numbers, Whole numbers, Integers, Rational Numbers, Irrational numbers, Real numbers, Complex Numbers. Examples are 1, 50, -50, 0.25, 8.9999 etc.

Natural Numbers

Counting Numbers are called Natural Numbers. These are a part of the number system, including all the positive integers from 1 to infinity. They are called counting numbers because they do not include zero or negative numbers. Examples of natural numbers are 1, 2 , 9 ,1023 etc.

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A whole number is a set of numbers that includes all positive integers and 0. These are a part of real numbers Which do not include fractions, decimals, or negative numbers. Natural Numbers along with 0 are called whole numbers. Examples of whole numbers are 0, 1, 2 , 9 ,1023 etc.

Which counting numbers are also whole numbers?

All the counting Numbers such as 1, 2, 3, 4 . . . . . are whole numbers. But all whole numbers are not counting numbers. Whole Numbers excluding 0 can be called counting numbers. In order to put it in the simplest way, all natural numbers are counting numbers and all whole numbers are natural numbers except 0, therefore, apart from 0, all whole numbers can be considered as counting numbers.

N = W – {0}

Sample Problems

Question 1: Choose Natural Numbers from the following set of numbers,

 11, 0, 25, 0.387, 1.20, 2506.

Answer:

All counting numbers are natural numbers, hence 11, 25, 2506 are natural numbers here.

Question 2: Choose whole Numbers from the following set of numbers?



1.1, 0, 125, 0.387, 1.20, 256, 69 

Answer:

All counting numbers along with 0 are whole numbers, hence 0, 125, 256, 69 are whole numbers here.

Question 3: Can all decimal numbers be counting numbers?

Answer:

Numbers including decimals are not counting numbers.

Question 4: Which one of the given numbers is a natural number?

0, 2.3, 22/7, 9.87, 12, 11.2

Answer:

12 is a natural number among all the numbers mentioned above.

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