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what kind of numbers are in real number systems?
Ans=Real numbers are the numbers which include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions (1/2, 2.5) and irrational numbers such as √3, π (22/7), etc., are all real numbers. Is Zero a Real or an Imaginary Number? Zero is considered as both a real and an imaginary number.
what are rational numbers?
a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.
how to identify rational numbers?
how to identify rational and irrational numbers based on below given set of examples. As per the definition, The rational numbers include all integers, fractions and repeating decimals. For every rational number, we can write them in the form of p/q, where p and q are integers value.
example of all types of number present in the real number system.
Whole Numbers ( W ). This is the set of natural numbers, plus zero, i.e., {0, 1, 2, 3, 4, 5, …}
Negative Integers: - 1, - 2, - 3, - 4, - 5 and so on, without end
Non-negative Integers: 0 and all positive whole numbers, like 6, 7, 8, 9, and so on
Positive Integers: 1, 2, 3, 4, 5, without end ...
Zero: 0 all by itself
Examples of Rational Numbers
Number 9 can be written as 9/1 where 9 and 1 both are integers.
0.5 can be written as ½, 5/10 or 10/20 and in the form of all termination decimals.
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2)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..
3)In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.
4)A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.
5).Natural Numbers
.Whole Numbers
.Integers
