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 →Complex Numbers-Definition, Formula, Properties Complex numbers are an extension of the real numbers, allowing for the inclusion of solutions to equations that do not have real solutions. Here’s a detailed explanation: Definition A complex number is of the form: z=a+bi Where: a and b are real numbers. i is the imaginary unit, defined by the […]
Read More →Real Numbers Real numbers are a fundamental concept in mathematics, representing all the possible numbers along the continuous number line. They encompass various types of numbers, including rational numbers, irrational numbers, integers, and natural numbers. Here’s a detailed explanation of real numbers: Definition and Classification Real numbers are the set of numbers that include all […]
Read More →Complex Numbers – Definition and Examples Complex Numbers The concept Complex numbers was first used in 1st century by a Greek mathematician Alexandria, when he tried to find the square root of a negative number. After that in 16th century complex number was define by Italian mathematician Gerolamo Cardano, in the process of finding the […]
Read More →Whole numbers – Definition – Symbol and Examples What are Whole Numbers In our number system, various kinds of numbers such as; natural numbers, odd and even numbers, whole numbers, real numbers etc. In 628 A.D., first time the Indian mathematician and astronomer, Brahmagupta invented the number zero. Zero is used as a placeholder, it […]
Read More →Set Theory Symbol List List of set theory symbols Symbol Symbol Name 1. {} Set 2. A […]
Read More →Decimal Expansions of Real Numbers There are three types of decimal expansions of real numbers. 1.Terminating 2. Non Terminating, Repeating 3. Non Terminating, Non Repeating 1.(Terminating) The remainder becomes zero. Let us take examples to know it. Example 1: Expansion of 7/4 In the example of 7/4 we found that after some steps the remainder becomes zero and the decimal […]
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 →