### Approximations and Accuracy

Rounding up and down of numbers to significant figures, decimal places and nearest whole numbers are practical applications of approximations to everyday life Percentage error When rounding to any number of significant figure Look at the first unwanted digit Use the rules of approximations Keep the number about the right size Note:…

### All About Electronic configuration of atoms

Electronic configuration, also known as electron structure, is the arrangement of energy levels of electrons around the nucleus. As far as finer quantum mechanical models are concerned, the K-Q shell is subdivided into a set of orbits (see orbits), each of which can be occupied by no more than a pair of electrons. The electron…

### Trigonometry, Sine, Cosine and Tan

Trigonometry Ratios Sine, cosine and tangent with reference to right angled triangle ABC is any triangle, right angle from SOH CAH TOA Tan B=b/c (tan opp/adj) Sin B = b/a (Sin opp/hyp) Cos B = c/a (Cos adj/hyp) Trigonometry I Derivation of trigonometric ratio of 30 degrees, 45 degrees and 60 degrees from drawn…

### Perimeter of Sectors and Segments

Continuous lines form the boundary of a closed geometric figure. In geometry, perimeter can be defined as a path or boundary around a shape. It can also be defined as the length of the contour of the shape. The word perimeter comes from the Greek “peri”, which means around, and “metron”, which means measurement. Perimeter…

### Set Theory and Operation

Set theory, a branch of mathematics, deals with the properties of well-defined collections of objects that may or may not have mathematical properties, such as numbers or functions. SET THEORY Set theory, a branch of mathematics that deals with the properties of well-defined collections of objects that may or may not have mathematical properties. Set…

### Simple and Quadratic Equation

Simple and quadratic equation refers to a mathematical equation that expresses the relationship between the two expressions on both sides of the ‘equal’ symbol. Such equations consist of squares and variable, usually in the form of x or y. Types of variation – direct, inverse, joint and partial variation Direction variation Y X Y…

### Indices and Its Various Laws

Indices is a measure of the price performance of a group of stocks on an exchange. Trading indices allows you to access the entire economy or industry at once, and only need to open a position. Indices are a useful way to express large numbers more simply. They also provide us with many useful properties…

### Number Base and Modular Arithmetic

A number base is the number of digits or combination of digits that a system of counting uses to represent numbers. CONTENT Number Base System Conversion from one base to base 10 Conversion of decimal fraction to base 10, conversion of number from one base to another base Modular Arithmetic Addition Rule Subtraction Rule Division…