Friday, June 7, 2013

Math Division Chart


Definition of Dividend, Divisor ,Quotient ,Remainder

Dividend →
 
                   A quantity which is to be divided by another quantity is known as dividend.
e.g. 6 divided by 3, 6 is the dividend.

Divisor →
                  The quantity by which the dividend is to be divided is known as divisor.

e.g. 6 divided by 3, 3 is the divisor.

Quotient  →

                    The number resulting from the division of another number.
              Dividend ÷ Divisor = Quotient

e.g.  2 is the quotient of 6 divided by 3.
Remainder →
                           When an integer m is divided by a positive integer n, and a quotient q is obtained for which  m=nq+r

 Then r is the remainder.

    Math Division chart

Thursday, June 6, 2013

Greek Alphabet In Math


Introduction :

The Greek alphabet is a set of twenty-four letters that has been used to write the Greek language since the late 9th or early 8th century BCE. It is the first and oldest alphabet. The Greek alphabet is descended from the Phoenician alphabet, and is not related to Linear B or the Cypriot syllabary, earlier writing systems for Greek.


Now we are going to see about the Greek alphabet in math.

About Greek alphabet in math:
                    Now we will see about the Greek alphabets and its symbols which are used in math.
In math, various symbols are required to represent the various functions such as in the set theory, numbers, functions and spaces.

However at the time of introduction, many of them seem to use some of the notations and the letters in the math.

Now it is familiar in all countries and many formulas in math and in other subjects are using the Greek alphabets only.

The lower case numbers are used often for variables, complex numbers etc.

Greek alphabets and its symbols in math:
                      Now we see Greek alphabets and symbols in math.

1.    α is the symbol used to represent the number and the name is alpha(Α)

2.    β is the symbol used to represent the number and the name is beta(Β).

3.    γ is the symbol used to represent the number and the name is gamma(Γ).

4.    δ is the symbol used to represent the positive number and the name is delta(Δ).

5.    ε is the symbol used to represent a positive number and the name is epsilon(Ε)

6.    ζ is the symbol used as seldom and the name is zeta(Ζ).

7.    η is the symbol used as seldom and the name is eta(Η)

8.    θ is the symbol used for an angle and the name is theta(Θ)

9.    ι is the symbol used hardly and the name is diota(Ι)

10.     κ is the symbol used to represent the kappa(Κ).

11.     λ is used to represent a constant multiplier and the name is lambda(Λ).

12.     μ is used to represent a constant multiplier and the name is mu(Μ).

13.     ν is used to represent number and called as nu(Ν)

14.     ξ is used and the called as xi(Ξ)

15.    ο is used hardly and called as do micron(Ο)

16.    π is used to denote invariably and called as pi(Π)

17.    ρ is used for radius rho(Ρ)

18.    σ is used for and called as sigma(Σ)

19.    τ is used and called as tau(Τ)

20.    υ is used and called as dupsilon(Υ)

21.    φ is used for an angle, called as phi(Φ)

22.    χ seldom used as chi(Χ)

23.    ψ is used for an angle psi(Ψ)

24.    ω is used rare and called as omega(Ω)

Monday, June 3, 2013

Coordinate Plane Slope Math


 Slope in a coordinate plane:

Slope:

In mathematics the slope of the line shows the steepness of the line. Slope is also defined as rise by run. We can find the slope from the equation of the line or form the coordinates. The positive slope has + sign and negative slope has – ve sign. Here we are going to see about slope in coordinate plane.

The formula to find slope is

Slope m = `(y2 - y1) / (x2 - x1)`

Slope in the coordinate plane is determined by rise in y axis by run in x axis.

consider the following figure.

coordinate plane slope math

Here the rise in y axis is -15 units

run in y axis is 30 units

Slope = `-15/30`

slope = `-1/2`

`and it can be also calculated using the coordinates from the above formula.`


Slope in a coordinate plane - Examples:


1). Find the slope of the line containing the coordinates (5, 12) and (7, 10).

Solution:

Given:

x1 = 5     x2 = 7

y1= 10    y2 = 12

Slope m = `(y2 - y1) / (x2 - x1)`

= `(10-12) / (7 -5)`

=` -2 / 2`

m = 1

Hence the slope of the given points are m = 1

2). Find the slope of the line containing the coordinates (14, 8) and (18, 9)

Solution:

Given: x1 = 14    x2  = 18

y1 = 8      y2 = 9

Slope m = `"(y2 - y1) / (x2`

=`" ( 9 - 8 ) / ( 18 - 14 `

= `1/4`

m = `1/4`

Hence the slope of the given points m =` 1/4 `

1)Find the slope of the line having the coordinates (6, 10) and (9, 11)
Solution:

Given:            x1 = 6     x2 = 9

y1 = 10    y2 = 11

Slope   m =` (y2-y1) / (x2-x1)`

= `(11 -10) / (9 - 6)`

= `1/3`

2) Find the slope of the line having the coordinates (7, 11) and (12, 14)

Solution:

Given:            x1 = 7     x2 = 12

y1 = 12    y2 = 14

Slope   m = `(y2-y1) / (x2-x1)`

= `(14 -11) / (12 - 7)`

= `3/5`

3) Find the slope of the line having the coordinates (11, 14) and (16, 23)

Solution:

Given:            x1 = 11     x2 = 16

y1 = 14    y2 = 23

Slope   m =` (y2-y1) / (x2-x1)`

= `(23 -14) / (16 - 11)`

= `9/5`.