Introduction to Algorithm

Introduction to Algorithm:

Algorithm are defined in mathematics as one of the efficient method for solving many of the maths problems.Algorithm are having many number of sequence steps for solving the maths problem.Algorithm are mainly used for the purpose of calculation in mathematics and the data processing unit in the other fields.For learning an algorithm many of the instructions have been followed.

Example for Learning Algorithm:

Sample example for writing algorithm:

Input: Non-empty N.

Output: smallest number is N

Smallest ← N₀

For each item(Length(L)≥1), do

if item >smallest, then

Smallest← the item

Return smallest

here are many characteristics for learning an algorithm.They are mentioned below in the following,

1. By using algorithm we can get an accurate result.

2. By using algorithm, the efficiency of the product is good.

3. By using the algorithm, the calculation is very faster.

4. By using the algorithm, the time can be decreased.

Trigonometry Problems

Trigonometry Problems:

Question:

Answer:




problem 2:

Question:

Answer:

Identify Hexagon

Which of the figures is a Hexagon?

A ) Figure 1
B ) Figure 2
C ) Figure 3
D ) Figure 4

Steps to derive:

1 A six-sided polygon is called a hexagon.
[Hexa means six.]

2 Figure 1 has 5 sides. So, it is a pentagon.

3 Figure 2 is a closed figure formed by six sides. So, it is a hexagon.

4 Figure 3 is not at all a polygon, as it contains intersecting line segments.
[Polygons do not have intersecting line segments.]

5 Figure 4 has 4 sides. So, it is a quadrilateral.

6 So, Figure 2 is the only hexagon among the figures. This answer is given by choice B.

Hexagon and Pentagon:

Pentagon:

• A Pentagon is one of the polygon, The name of the five shaped image is known as pentagon. The pentagon has five sides. The pentagon can be divided as regular and irregular pentagon. A pentagon will have five sides and five interior angles.
• Always a pentagon will have five vertices.

Hexagon:

• A hexagon is one of the polygon, the hexagon has six sides,six interior angles.
• Always a pentagon will have six vertices.

Introduction to basic algebra

Basic algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures.
Together with geometry, analysis, topology, combination, and number theory, algebra is one of the main branches of pure mathematics. The part of algebra called elementary or basic algebra is often part of the curriculum in secondary education and introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers, such as addition.In this article we shall discuss about basics of algebra

Sample Problem for Basic Algebra:

Example 1:

Solve the algebra equation.
|2x – 1| = 7
Solution:

Step 1: The absolute value of the given equation is already inaccessible.

Either 2 x-1 = +7 or 2 x - 1= -7

Step 2: Solve the equation 2 x – 1 =+7

2 x – 1 = 7

2 x = 8

X = 4

Step 3: Solve the equation 2x-1=-7

2 x – 1 = -7

2 x = -6

X = -3

The answers are 4 and -3. The answers may not be solutions to the equation.

Check the answer x=4 by replacement 4 in the given equation for x. If the left side of the equation sum value is equals the right side of the equation sum value after the replacement of x value, you have got the exact answer.

• Left side: |2 (4) – 1 | = 7

• Right Side: 7

Check the answer x = -3 by replacement -3 in the given equation for x. If the left side of the equation sum value is equals the right side of the equation sum value after the replacement of x value, you have got the exact answer.

• Left Side: | 2 ( -3) – 1 | = - 7
• Right Side: -7

The answer of the equation are x=4 and -3.

Writing Math

Normally, the writing math is classified into three types.

They are

• Word form
• Standard form
• Expanded form

Writing math in Word form:

Writing the given number in alphabetical form is called as word form.

Example for Word form:

Write 8795 in word form:

Solution:

The place value should be taken in account.

8000 = Eight thousand

700 = Seven hundred

90 = ninety

5 = five

8795 = Eight thousand seven hundred and ninety five.

Writing math in Standard Form:

Writing the given number in reduced form is said to be standard form.

Example for standard form:

Express 567000 in standard form:

Solution:

567000 = 5.67 × 10⁵

Here we have shifted the decimal to 5 places.

Writing math in expanded form:

Writing the given number in abbreviated form is said to be expanded form.

Example for Expanded form:

Expand the number: 9542

Solution:

9542 = 9000 + 500 + 40 + 2.

Classifying math diagrams - Square

Classifying math diagrams - Square:

• Square has four equal sides.
• The side length of the square is denoted as S.
• Total angle of the square is 360°
• All the four sides have the same angle 90°
• Square has two diagonals and both the diagonals are equal in length
• Area of the square is s²