Numbers-Definition, Types, Properties Numbers are fundamental mathematical objects used to count, measure, and label. They are one of the most basic and essential tools in mathematics and come in various types and forms. Here’s a detailed explanation of different types of numbers: (1) Natural Numbers (ℕ) Natural numbers are the simplest form of numbers used […]
Read More →Rational Numbers – Solved Examples Example 1: Write the numerator of the following rational numbers. (i) (2/7) (ii) (-4/5) (iii) (-11/3) (iv) (-10/-17) (v) (13/-14) (vi) (9/8) (vii) (8/9) (viii) (29/4) (ix) (12/5) (x) (22/7) Solution: (i) Numerator of (2/7) is 2 (ii) Numerator of (-4/5) is -4 (iii) Numerator of (-11/3) is -11 (iv) […]
Read More →Multiplying Exponents with Square Roots In this tutorial, we will learn the multiplication of exponents, where bases have a square root. When multiplying square roots that contain exponents, we can rewrite the term with a rational exponent. The square root of a positive number (√a) can be expressed as a rational exponent and (√a) = […]
Read More →Real Numbers – Definition and Examples In this tutorial, we will learn all about real numbers. What are Real Numbers? Real numbers are the set of rational and irrational numbers in number system. Real Number Definition Real numbers are union of rational and irrational numbers. Real numbers can be represented on number line and all […]
Read More →Multiplicative inverse When we divide 1 by the number, we get “Reciprocal” of the number. The reciprocal = 1/number Example- The reciprocal of 5 is 1/5 When we multiply a number by its “Multiplicative Inverse” we get 1. Simply the product of a numbers and its reciprocal is 1, then each number is known as Reciprocal […]
Read More →Irrational Numbers – Definition, Examples, Properties Definition and Properties of Irrational Numbers Irrational Numbers An irrational number is a real number that cannot be expressed as a simple fraction, i.e., it cannot be written in the form a/b, where a and b are integers and b≠0. This means irrational numbers have non terminating, non-repeating decimal […]
Read More →Representation of numbers on Number Line Natural numbers Natural numbers : A set of counting numbers, is known as natural numbers. N = (1, 2, 3, 4, 5,…..) This is a number line for Natural Numbers. Whole numbers Whole numbers : When we add the number zero (0) to the natural numbers, we get whole numbers. W = […]
Read More →Important sets in Mathematics 1. N = Set of all “Natural” numbers. 2. W = Set of all “Whole” numbers. 3. Q = Set of all “Rational” numbers. 4. Z = Set of all “Integers”. 5. R = Set of all “Real” numbers. 6. Z + = Set of “Positive” Integers. 7. Q + = Set of “Positive Rational” numbers. 8. R + = Set of “Real” numbers.
Read More →Rational and Irrational numbers Usually most students feel difficult to understand the difference between rational and irrational numbers with the help of their definitions. First we know about the terms that are useful to understand the concept of rational and irrational numbers. 1. Perfect square: If we multiply an integer with itself or same integer, we […]
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