differentiate the types of number
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Answer:
Natural Numbers (N), (also called positive integers, counting numbers, or natural numbers); They are the numbers {1, 2, 3, 4, 5, …}
Whole Numbers (W). This is the set of natural numbers, plus zero, i.e., {0, 1, 2, 3, 4, 5, …}.
Integers (Z). This is the set of all whole numbers plus all the negatives (or opposites) of the natural numbers, i.e., {… , ⁻2, ⁻1, 0, 1, 2, …}
Rational numbers (Q). This is all the fractions where the top and bottom numbers are integers; e.g., 1/2, 3/4, 7/2, ⁻4/3, 4/1 [Note: The denominator cannot be 0, but the numerator can be].
Real numbers (R), (also called measuring numbers or measurement numbers). This includes all numbers that can be written as a decimal. This includes fractions written in decimal form e.g., 0.5, 0.75 2.35, ⁻0.073, 0.3333, or 2.142857. It also includes all the irrational numbers such as π, √2 etc. Every real number corresponds to a point on the number line.
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Types of numbers :-
● Natural numbers: Natural numbers are numbers starting from 1,2,3.. It is fenoted by 'N'.
● Whole numbers: Whole numbers are number starting from 0,1,2,3.. It is denoted by 'W'.
● Integers: Integers consists of negative and positive numbers such as -1,0,1,2,3,.. It is denoted by 'Z'.
● Rational Numbers: A number is called a rational numbet if it can be written in the form p/q where p and q are integer and q not equal to zero.
● Irrational numbers: A number is called an irrational number when the number cannot be written in the form p/q where p and q are integers and q not equal to zero.
● Real Numbers: The collection of all rational and irrational numbers together form real numbers. It is denoted by 'R'.