What Is Numeric

Introduction to Numeric :

The term numeric can be referred to as numbers especially the characters from 0 to 9.It is a concept derived from 0 and the units. It can be represented as a quantity or it is related to the susceptible of all measurement. It is having the power of apparently denoting or naming .Numerical values are symbols as shown below

Numerals are  0,1,2,3,4,5,6,7,8,9.

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Analysis on Numeric:


Any number is a concept. ‘One’ is a number expressed in name and we use ‘1’ as numeral or symbol to denote it. Different types of symbols were used in various parts of the world to denote the numerals in past days. Number Pattern is defined as a list of numbers which would follow a certain rule.

Numerical pattern revolves all around the numeric values. None of these languages has a separate number system, hence these letters were instead also attributed a number. So we have to learn some knowledge on number pattern.

Some of the different types of number patterns are as follows:

Arithmetic sequence

Geometric sequence

Fibonacci sequence

Overview of Numeric type:

Types of numeric include following types,

Integer numeric

Approximate or floating-point numeric

Exact numeric

Basic operations of the numeric data types:

Minimum:

It is used to yield numerically smallest of the value. The general form is given as Min[x1, x2].

Example:

Minimum of particular numbers Min [3, 10]

Ans: 3

Maximum:

It is used to yield numerically biggest of the value. The general form is given as Max[x1, x2].

Example:

Minimum of particular numbers Max [87,140]

Ans: 140

Total:

The total type of data which is used to provides the whole value or sum of a particular list

Example:

Total [{A, B, C, D}]

Ans: A+B+C+D.

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Example problems:


Problem 1:

Find the minimum value for the given data 1, 8 using numeric data type.

Solution:

Minimum = Min [1, 8]

= 1

Problem 2:

Find the maximum value for the given data set [121, 28] using numeric data type.

Solution:

Maximum = Max [121, 28]

= 121

Problems 3:

Find the total for the following values, A, B, C using numeric data type.

Solution:

Total [{A, B, C}] = A+B+C.

Problems 4:

Find the total for the following values, 2, 3, 4, 5 using numeric data type.

Solution:

Total [{2, 3, 4, 5}] = 2+3+4+5 = 14

Study Velocity

Introduction to study velocity:-

• The study velocity of an object in an interval of time is the distance traveled by the object divided by the interval of time. the instantaneous speed is the limit of the standard speed as the duration of the time interval approaches zero.

• But study the distance(d) and the time taken(t) is given, the speed can be calculated using the following formula:

Velocity (V) = Distance / Time taken

• During this article to study velocity given distance, we are going to study some of the problems concerned in solving the study velocity if the distance is given.

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Example problems for study velocity:-


1) Solve the Velocity of an object which travels 244 meters in 18 seconds.

Solution:-

Distance = 244 m

Time = 18 sec

Velocity = Distance / Time taken

= 244 / 18

= 13.55 m/sec.

2) Solve the Velocity of an object which travels 320 meters in 20 seconds.

Solution:-

Distance = 320 m

Time = 20 sec

Velocity = Distance / Time taken

= 320 / 20

= 16 m/sec.

3) Solve the Velocity of an object which travels 458 meters in 42 seconds.

Solution:-

Distance = 458 m

Time = 42 sec

Velocity = Distance / Time taken

= 458 / 42

= 10.90 m/sec.

4) Solve the Velocity of an object which travels 322 meters in 34 seconds.

Solution:-

Distance = 322 m

Time = 34 sec

Velocity = Distance / Time taken

= 322 / 34

= 9.47 m/sec.

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Practice problems to study velocity:-


1) Solve the Velocity of an object which travels 315 meters in 13 seconds.

Answer: 24.23 m/s

2) Find the Velocity of an object which travels 252 meters in 18 seconds.

Answer: 14 m/s

3) Find the Velocity of an object which travels 186 meters in 8 seconds.

Answer: 23.25 m/s

4) Find the Velocity of an object which travels 112 meters in 4 seconds.

Answer: 28 m/s.

Vertices in Math

Introduction to Vertices in math
Vertex usually way a bend otherwise an end point wherever lines are congregate. Such as a square include four corners, each one is called a vertex. The plural formation of vertex is described as the vertices. For example the square contains four vertices. Vertices also a triangle would contain 3 vertices.


Vertices in math


Vertices in graph

Within math, a graph is a theoretical illustration of a position of things wherever a few pair of the things is related by links. The interrelated things are stand for by arithmetical concept called vertices, also the links to attach a few pairs of vertices be call edges. Usually, a graph is described within illustrative appearance like a place of points used for the vertices, connected through lines or else arc designed for the edges.

The ends might be directed otherwise undirected. for instance, condition the vertices symbolize people on a party, also here be an edge with two people but they vibrate hands, after to this be an undirected diagram, since condition person 1 vibrate hand through person 2, after that person 2 to vibrate hands through person 1.

In graph the vertices are as well describe points.


Vertices in angles

Vertices are measurement of angles. An angle is finished through the relating of two waves.

To relation be calling the vertex.

Angles are able to as well happen on the joint of two lines.

After to the point of joint is a vertex. These points are significant within the creation of an angle as well as also within the identification of an angle. Condition the vertex is on Point D, also it be the simply angle on Point D, the angle be able to be name Angle D.

Vertices are division of polygons. Every point of relationship is a vertex.

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Example 1: Solve the coordinates of the following equation

y=x^2+18x+20

Solution:

y=x^2+18x+20

dy/dx = 2x + 18

At vertex dy/dx = 0

2x + 18 = 0

x = -9

Therefore, y = (-9) ^2 + 18(-9) + 20 = 81- 162 + 20 = -56

Vertex contain co-ordinates (-9, -56)

Example 2: Solve the coordinates of the following equation

y=x^2+6x+2

Solution:

y=x^2+6x+2

dy/dx = 2x +6

At vertex dy/dx = 0

2x +6 = 0

x = -3

Therefore, y = (-3) ^2 + 6(-3) + 2 = 9- 18 + 2 = -7

Vertex contain co-ordinates (-3, -7)

Math Help Gateways

Introduction to math help gateways:

Math help gateways are websites that help students to learn math. Tutor vista is one of the best website which act as a gateway and help students in solving their homework problems and clear their doubts. This article for math help gateways covers the solving algebraic equation with step by step. After viewing this article student understand the concept and prepared well from math help gateways.


Math help gateways:


Example 1:

Find the value of the expression 12x+7 , if x= 4

Solution:

Substitute x = 4 in the given expression 12x + 7

12x + 7 = 12(4) + 7

= 48+ 7

X  = 55

Here the value of the expression is 55.

Example 2:

Solve: 2x - 2 = 38

Solution:

Given, 2x - 2 = 38

2x = 38 + 2

2x = 40

x = `40/2`

or    x = 20

Example 3:

Solve the following system:

x + y = 14 - (1)

4x - y = 11 - (2)

Solution:

Solve the (1) equation

y =14 -x

substitute in (2)equation

4x - (14 - x)=11

4x - 14 + x=11

5x=25

x=5

substitute value of x in (1)equation

5 + y=14

y=9

The solution is, (5, 9).

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Math help gateways:


Example 4:

One seventh of a certain number is 17. find out certain number.

Solution:

let the unknown value be x. one seventh of x is `( 1/7 ) * x`

so,  `( 1/7 ) * x` = 17

x = 17 * 7

x = 119

the number is  119.

Example 5:

If four times of a number is equal to 10. Then find what exactly the number is?

Solution:

let us assume the unknown number as " X "

Given   4 * X = 10.

Move left side term to right

Then          X = `10/4`

The unknown number x is

X = 2.5

Example 6:

Given :

12x - 2(7x-10x+2)+x.

Solution:

First simplify those brackets. So we multiply (7x-10x+2) with 2

So, 14x - 20x + 4

It can be written as 12x - 14x + 20x - 4 + x.

add the like terms

So,answer is (19x - 4)

Math Words A to Z

Introduction to math words a to z:

Understanding the concept of math is critical in this modern world today.  Math is used every day by all, from lay persons to degree professionals. Situations in which math is used differ from merely complementary a checkbook or calculating the sum of change due from a store transaction all the way to creating blueprints for an office building or house and the construction of those buildings. Understanding how to solve math is an easy way. Math words a to z has a mathematical terms from a to z.


Some mathematical terms from a to m– math words a to z.


Adjacent angles `–` adjacent angles are angles which are adjacent o each other and it shares a common vertex.

`Addition of vectors` – It is adding two vectors and the result is known as resultant vector.

Bisect – Bisection is dividing the given figure into two parts which are equal to each other.

Center – Center is a middle part of a geometric figure.

Cuboid – Cuboid is a rectangular box.

Decahedron – Decahedron is a three dimensional figure in which it has twelve faces.

Edge – An edge is a line segment between two vertices.

Finite – Limited number of elements.

Geometric sequence – Geometric sequence is a sequence of numbers in which second number is the multiplication of first number and any other constant and it goes on.

Horizontal axis – x axis is a horizontal axis because it is horizontal

Infinite – Unlimited number of elements

Identity matrix – Identity matrix is a square matrix in which all the diagonal elements are equal to 1 and the non diagonal elements are equal to zero.

Joint proportional – It is same as Joint variation.

Kite – It is geometric figure with four sides.

Linear equation – An equation which has only one degree.

Mass – Mass is a weight of an object.

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Some mathematical terms from n to z– math words a to z.


Number line – a line which has numbers from –infinity to +infinity.

Opposite angles – Angles which are opposite to each other.

Polynomial – Polynomial is a term in which it has a combination of variables, constants and exponents.

Quadrangle – Quadrilateral can also be say as quadrangle.

Rate of change – A change in y coordinate the change in x coordinate.

Secant – A straight line which cuts two or more points on a curve.

Tangent – Tangent is a straight line which touches a point on a circle.

Unequal – Two or more quantities are not equal to each other.

Variable – It is a letter used to refer unknown values.

Width – one of the side of a rectangle.

X – Intercept – value of x when y=0

Y-intercept – value of y when x=0

Zero product – A product of two or more expressions is equal to zero.

These are the some math words a to z.

Examples Integers Math

Introduction for examples integers in math:

The integers are formed by the natural numbers including 0 (0, 1, 2, 3, ...) together with the negatives of the non-zero natural numbers (-1, -2, -3, ...). Viewed as subset of the real numbers, they are numbers that can be written without a fractional or decimal component, and fall within the set {... -2, -1, 0, 1, 2, ...}. For example, 65, 7, and -756 are integers; 1.6 and 1½ are not integers. The set of all integers is often denoted by a boldface Z, which stands for Zahlen

-Source Wikipedia


Number Line for examples integers in math :


The number line is shown with the integers in ascending order from left to right:

|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|

-5    -4   -3   -2   -1    0    1    2    3    4    5

The integers on right sided to the 0 is positive integers and the integers on left side to the 0 is negative integers


Absolute Values for examples integers in math :


The absolute value of a number n is written as |n|. The absolute value of the numbers always be positive

Examples:

|44| = 44

|0| = 0

|-44| = 44


Rules for examples integers in math:


Addition rule:

Positive + Positive = Positive:

Negative + Negative = Negative:

In the addition of a negative and a positive number we have to subtract and place the largers number's sign.

Subtraction rules:

Negative - Positive = Negative

Positive - Negative = Positive + Positive = Positive

Negative - Negative = Negative + Positive

In the subtraction of a negative and a positive number we have to subtract and place the largers number's sign

Multiplication rules:

Positive x Positive = Positive

Negative x Negative = Positive

Negative x Positive = Negative

Positive x Negative = Negative

Division rules:

Positive ÷ Positive = Positive

Negative ÷ Negative = Positive

Negative ÷ Positive = Negative

Positive ÷ Negative = Negative

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Example problems for integers in math:


Addition Operation:

5 + 5 =10

5 + (-6) = 5 - 6 = -1

-6 + 5 = -1

Subtraction Operation:

5 - 5 = 0

6 - 5 = 1

5 - (-6) = 5 + 6 =11

-6 - (-6) = -6 + 6 = 0

Multiplication Operation:

6 *  6 = 36

-6 *  -6 = 36

-6 *  -6 = -36

6 *  -6 = -36

Division Operation:

6`-:` 6 = 1

-6 `-:` -6 = 1

-6`-:` 6 = -1

6 `-:` -6 = -1

Lines and Angles Math

Introduction to lines and angles math:

In math geometry the lines and angles are important tools. If any object in ideal, that is called as line and it is represented as straight curve. The angle is related with line that is the cross-section of two-line is create the angle and that intersection point is called as vertex. Here we see about types of line and angle in math.


Explanation for lines in math


Lines:

If we want to project the real world model in geometry means we can use the lines for straight object representation. This straight object is represented with small height and width and it is infinitely long. The Euclidean math geometry use the line commonly.

Types of lines:

Parallel lines:

The separate two coplanar lines are called as parallel lines that are this line does not intersect with each other. The distance between the two lines are equal and it is represented as | |. The parallel lines are illustrating the two postulates.

Corresponding angles postulate: The angles are same when the transversal is cut the two coplanar lines. So we can say that lines are parallel.

Parallel lines postulate: If the transversal cut the two parallel lines, the same measure angles are present.

Perpendicular lines:

When the angle of 90 degree on two lines that two lines are said to be as perpendicular lines. This perpendicular line is represented as ‘_’. The perpendicular line does not have any postulates but solve some theorems. They are perpendicular lines and slopes theorem, perpendicular to parallel theorem and two perpendiculars theorem.


Explanation for angles in math


Angles:

The above diagram is illustrating the angle by lines. The vertex of angle is A. The meeting line of two lines is called as arms of the angle and the arm points are used for naming the angle. When one angle arm is moved to the other arm is represent the size of an angle.

In math the degree is used for angle size measurement and in geometry the protractor is used. Adjacent angles, complementary angles ad supplementary angles are pairs of angles.