![]() ![]() Multiplication: Let a and b be two real numbers The properties of real numbers are given as follows:-Īddition: So, by Commutative Law of Addition: a + b = b + aįor Example: 6 + 3 = 3 + 6 7 + 1 = 1 + 7 Real numbers comply with the three main laws or properties- commutative, associative, and distributive laws. This process of representation of a decimal expansion on the number line is the process of successive magnification.An irrational number is the product or division of a rational number with an irrational number.The total sum or difference between a rational number and an irrational number shall be an irrational number.The square root of any positive real number is always there and can also be shown on a number line. Real numbers can be shown on the number line.The collection of real numbers is made by all rational and irrational numbers.Some important points related to Real Numbers include: Non-terminating and non-repeating numbers such as √2 The numbers are not rational and can’t be written in the p/q form. Numbers that can be written in the p/q form, where q≠0.Įxamples of rational numbers are ½, 5/4 and 12/6, etc. For example, 4, 6, 8, 9, 10 etc.Īll numbers comprising 0 such as 0, 1, 2, 3, 4, 5, 6,….…Ĭombination of Whole numbers and negative of all the natural numbers. 1 does not belong to prime numbers as well as composite numbers. Composite numbers: Composite numbers are natural numbers that are divisible by 1, itself as well as any other integer or number.1 is not a prime number because it has only one factor. Prime numbers have two factors: 1 and the number itself. Prime numbers: Prime numbers are natural numbers higher than 1 that are divisible by 1 and the number itself.Examples include 1, 3, 5, 7, and so forth. We obtain a remainder when we divide an odd integer by two. ![]() It cannot be divided evenly into two separate integers.
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