Whole Numbers And Its Properties WHOLE NUMBERS Now if we add zero (0) in the set of natural numbers, we get a new set of numbers called the whole numbers. Hence the set of whole numbers consists of...

Fundamental Theorem of Arithmetic We have discussed about Euclid Division Algorithm in the previous post. Fundamental Theorem of Arithmetic: Statement: Every composite number can be decomposed as a...

FACTORS AND MULTIPLES Mr Sharma wanted to withdraw Rs. 1000 from his bank account to purchase books for his children. The cashier gave him 10 hundred-rupee notes, i.e., Rs. 10 × 100 = Rs. 1000 Mr...

Factors And Coefficients Of A Polynomial Factor:  When numbers (constants) and variables are multiplied to form a term, then each quantity multiplied is called a factor of the term. A constant factor...

Zeros Of A Polynomial Function If for x = a, the value of the polynomial p(x) is 0 i.e., p(a) = 0; then x = a is a zero of the polynomial p(x). For Example: (i) For polynomial p(x) = x – 2; p(2) = 2...

Degree Of A Polynomial The greatest power (exponent) of the terms of a polynomial is called degree of the polynomial. For example : In polynomial 5x2 – 8x7 + 3x: (i) The power of term 5x2 = 2 (ii)...

Monomials, Binomials, and Polynomials A monomial is the product of non-negative integer powers of variables. Consequently, a monomial has NO variable in its denominator. It has one term. (mono...

Polynomials Algebraic expression containing many terms of the form axn, n being a non-negative integer is called a polynomial. i.e., f(x) = a0 + a1x + a2x2 + a3x3 + …….. + an-1xn-1 + anxn, where x is...

Absolute Value of Complex Numbers Geometrically, the absolute value of a complex number is the number’s distance from the origin in the complex plane. In the diagram at the left, the complex number 8...

Absolute Value Inequalities Solving an absolute value inequality problem is similar to solving an absolute value equation. Start by isolating the absolute value on one side of the inequality symbol,...

Absolute Value Equations To solve an absolute value equation, isolate the absolute value on one side of the equal sign, and establish two cases: Case 1: |a| = b set a = b Set the expression inside...

Absolute Value The absolute value of a number can be considered as the distance between 0 and that number on the real number line. Remember that distance is always a positive quantity (or zero). The...

Order of Operations and Evaluating Expressions Order of Operations When a numerical expression involves two or more operations, there is a specific order in which these operations must be performed....

OPERATIONS ON NUMBERS Addition Addition of two or more numbers gives us another number. The numbers which are added are called addends and the new number thus obtained is called the sum. For example,...

Hints for Remembering the Properties of Real Numbers Commutative Property – interchange or switch the elements Example shows commutative property for addition: X + Y = Y + X Think of the elements as...

Whole Numbers And Its Properties WHOLE NUMBERS Now if we add zero (0) in the set of natural numbers, we get a new set of numbers called the whole numbers. Hence the set of whole numbers consists of...

Fundamental Operations on Integers We have four fundamental operations on integers. They are addition, subtraction, multiplication, and division. 1. Addition of integers A monkey is sitting at the...

What is an Integer and give some Examples Introduction While studying the properties of whole numbers, we found that the closure property does not hold good for the subtraction of natural numbers as...

OPERATIONS ON NUMBERS Addition Addition of two or more numbers gives us another number. The numbers which are added are called addends and the new number thus obtained is called the sum. For example,...