Absolute Value of Complex NumbersGeometrically, 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 + 6i is plotted in the complex plane on an Argand diagr…

Absolute Value InequalitiesSolving 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, then follow the rules below: If the symbol is > (or &g…

Rounding calculator to round numbers up or down to any decimal place. Choose ones to round a number to the nearest dollar. Choose hundredths to round an amount to the nearest cent.How do you Round to the Nearest Ten Thousand Rounding off numbers We have …

Decimal Representation Of Rational NumbersExample 1:    Express \(\frac { 7 }{ 8 }\) in the decimal form by long division method. Solution:    We have, ∴ \(\frac { 7 }{ 8 }\) = 0.875Example 2:    Convert \(\frac { 35 }{ 16 }\) into decimal form by long…

What is a Ratio and Proportion RATIO In our day-to-day life, we compare one quantity with another quantity of the same kind by using the ‘method of subtraction’ and ‘method of division’. Example: The height of Seema is 1 m 67 cm and that of Reema is 1 m…

What is the pattern of numbers?PATTERNS Patterns arise due to special arrangements of numbers associated with geometrical figures. The numbers are of different kinds likeNatural numbersPolygonal numbers (a) Triangular numbers (b) Square numbers (c) Penta…

Whole Numbers And Its PropertiesWHOLE 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 zero and the set of natural numbers. It is denoted by W. …

Order of Operations and Evaluating ExpressionsOrder of Operations When a numerical expression involves two or more operations, there is a specific order in which these operations must be performed. When evaluating an expression, proceed in this order: pa…

How do you Calculate Simple Interest?Simple Interest Interest: Interest is the amount paid in lieu of using some money which is not owned by us.The amount of money deposited, lent or borrowed is called principal (P).The additional money given at the end…

What is an Exponent?ExponentsThe repeated addition of numbers can be written in short form (product form). Examples: Also, we can write the repeated multiplication of numbers in a short form known as exponential form. For example, when 5 is multiplied…