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Is 75 a whole number?

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  • Difficulty Level : Medium
  • Last Updated : 05 Aug, 2021
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Numbers are used in various arithmetic operations as addition, subtraction, multiplication, etc which are applicable in daily businesses and trading activities. Numbers are generally also known as numerals. Numerals or numbers are the mathematical figures used financially, professionally as well as socially in the social world. The digits, place value in the number, and the base of the number system determine the value of a number.

Numbers are the mathematical values used for the purpose of counting, measuring, and other arithmetic calculations. Some examples of numbers are integers, whole numbers, natural numbers, rational and irrational numbers, etc.

The number system is a standardized method of expressing figures into different forms as well as words. It includes different types of numbers for example prime numbers, odd numbers, even numbers, rational numbers, whole numbers, etc. These numbers can be expressed in the form of figures as well as words accordingly. For example, The numbers like 100 and 55 can also be written in the form of figures as well as can be written as One hundred and Fifty-five in words.

A Number system or numeral system is defined as a standardized system to express numbers. It is the unique way of representation in which numbers are represented in arithmetic and algebraic structure.

Types Of Numbers

There are different types of numbers categorized into sets by the number system. The types are described below:

  • Natural numbers: The positive numbers that count from 1 to infinity are natural numbers. The set of natural numbers is represented by ‘N’. It is the numbers we generally use for counting. The set of natural numbers can be represented as N=1,2,3,4,5,6,7,……………
  • Whole numbers: The positive numbers including zero, which counts from 0 to infinity are whole numbers. Whole numbers do not include fractions or decimals. The set of whole numbers is represented by ‘W’. The set can be represented as W=0,1,2,3,4,5,………………
  • Rational numbers: The numbers that can be expressed as the ratio of two integers are rational numbers. It includes all the integers and can be expressed in terms of fractions or decimals. It is denoted by ‘Q’.
  • Irrational numbers: The numbers that cannot be expressed in fractions or ratios of integers are irrational numbers. it can be written in decimals and have endless non-repeating digits after the decimal point. It is denoted by ‘P’.
  • Integers: The set of numbers including all the positive counting numbers, zero as well as all negative counting numbers which count from negative infinity to positive infinity are integers. The set doesn’t include fractions and decimals. The set of integers is denoted by ‘Z. The set of integers can be represented as Z=………..,-5.-4,-3,-2,-1,0,1,2,3,4,5,………….
  • Decimal numbers: Any numeral value that consists of a decimal point is a decimal number. It can be expressed as 2.5,0.567, etc.
  • Real number: The set numbers that do not include any imaginary value and are constituent of all the positive integers, negative integers, fractions, and decimal values are real numbers. It is generally denoted by ‘R”.
  • Complex number: They are a set of numbers that include imaginary numbers are the complex numbers. It can be expressed as a+bi where “a” and “b” are real numbers. It is denoted by ‘C’.

Definition of Whole Numbers

Whole numbers are the subset of the number system that consists of all positive integers including 0. The whole number counts from zero to infinity. These numbers are used for day-to-day calculation, mostly for the measurement of fundamental quantities.

Whole numbers are the only constituents of natural numbers including zero. The subset is given by {0,1,2,3,4,5,……….}, the set does not include fractions, decimals, and negative integers.

Examples of whole Numbers

Positive integers also known as counting numbers including zero are the part of whole numbers, such as 0,1,2,3,4,5, etc, excluding negative integers, fractions, and decimals.

10, 11, 22,100,1000, etc all are examples of whole numbers.

Now, let’s jump into the question

Is 75 a whole number?


Since, the whole numbers are set of real numbers that includes zero and all positive counting numbers, such as 0,1,2,3,4, etc. Whereas, excludes fractions, negative integers, fractions, and decimals.

Therefore, 75 being a part of  real number is a whole number.

Similar Questions

Question 1: What are the examples of whole numbers?


The real numbers like 10, 22, 32,100 are the examples of whole numbers.

Question 2: Is 1/2 a whole number?


No, 1/2 is a fractional value and the set of whole numbers does not includes fractions.

Question 3: Is 0 a whole number?


Since, the whole numbers are set of real numbers that includes zero and all positive counting numbers, 0 is also a whole number.

Question 4: Is 2.5 a whole number?


 The whole numbers are set of real numbers that includes zero and all positive counting numbers. Whereas , excludes fractions, negative integers, fractions,and decimals. Hence, 2.5 being a decimal value is not a whole number.

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