What is the meaning of Place Value and Face Value in MathsDifference Between Face Value And Place ValuePlace value and face value:The place value of a digit of a number depends upon its position in the number. The face value of a digit of a number does …

OPERATIONS ON NUMBERSAdditionAddition 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, 34670 + 12345 = 47015 Here, 34670 and 12345 are called …

Hints for Remembering the Properties of Real NumbersCommutative Property – interchange or switch the elements Example shows commutative property for addition: X + Y = Y + X Think of the elements as “commuting” from one location to another. “They get in …

PercentsPercents are used to describe parts of a whole base amount. When one of the parts of the relationship is unknown, we can solve an algebraic equation for the unknown quantity. (The solution methods shown on this page are of an algebraic, sentence…

Rational and Irrational NumbersBoth rational and irrational numbers are real numbers. This Venn Diagram shows the relationships between sets of numbers. Notice that rational and irrational numbers are contained in the large blue rectangle representing t…

ProportionsA proportion is a comparison of ratios.A proportion is an equation that states that two ratios are equal, such as Proportions always have an EQUAL sign!A proportion can be written in two ways: In each proportion the first and last terms (4 an…

What are Laws of Exponents?Laws of ExponentsLaw-1: If a is any non-zero integer and m and n are whole numbers, thenam × an = am + n Eg : Therefore, in general, we write, Read More: What is an Exponent?Review of ExponentsSurdsLaw-2: If a and b are non-z…

How do you Multiply and Divide Decimals?Multiplication of Decimal NumbersMultiplication of a decimal by 10, 100, 1000 etc.: Method: On multiplying a decimal number by 10, 100, 1000, … the decimal point is shifted to the right by one, two, three, … places…

How do you Add and Subtract Rational Numbers?There are four basic operations on rational numbers : AdditionSubtractionMultiplicationDivision.Addition of Rational NumbersIf two rational numbers are to be added, we first express each one of them as ration…

Review of ExponentsExponents are the mathematician’s shorthand.In general, the format for using exponents is: (base)exponent where the exponent tells you how many of the base are being multiplied together.Consider: 2 • 2 • 2 is the same as 23, since the…