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2013/07/08

Smart Math Algebra factorization in Mathematics School

Smart Math Algebra factorization in Mathematics School 
To remind again about Algebra? In Class grade 8, you have familiar form of algebra and arithmetic operations have also been studied in The algebraic form. Now, you will add to your knowledge of the algebra, in particular regarding the factorization algebra.Why do you need to learn algebra? Possible You do not realize that the concept of algebra is often used in everyday life.Each day, Nita save X amount of dollars. How big savings the child after one week? How much greater the savings after one month? After 10 days, saving money that bought two books that cost y dollars, what is the rest of the money savings Mark?When you are looking for a settlement of the case, then you're using algebraic concepts. Therefore, study the chapter The well Calculate Operation Algebra Shape In class grade 8, you have studied the terms of shape algebra, coefficient,variables, constants, tribal, and similar parts. To remind you again,learned the following examples. 
• 2PQ          • 5x + 4           • 2x + 3y -5           • x2 + 3x -2           • 9x2 - 3xy + 8 
Form of algebraic number (1) is called a single tribe or a tribal one because only consists of one syllable, is 2PQ. On the algebraic form, called 2coefficient, while p and q are called variable because the value of p and q can change able. The form of algebraic numbers (2) is called the binomial as The algebraic form has two parts, as follows.a. Parts containing variable X, the coefficient is 5.b. Tribes that do not contain the variable X, namely 4, called constants. Constants is a tribe whose value does not change.Now, in the form of algebraic numbers (3), (4), and (5), let you specify Which is the coefficient, variables, constants, and tribes?
Smart Solution Math Algebra factorization in Mathematics School
Addition and reduction Algebra Shape In this section, you will learn how to add up and subtract similar tribes in the algebra. Basically, the properties of summation and reductions in force at the real numbers, applies also for addition and subtraction on algebraic forms, as following.a. Commutative properties + b = b + a, with a and b real numbers b. Associative properties(A + b) + c = a + (b + c), with a, b, and c real numbers c. Distributive
properties (b + c) = ab + ac, with a, b, and c real numbers So that you may better understand the properties that apply to the algebra,Example: Question [Q] and Answers [A]Simplify the following algebraic forms Q. 6mn + 3mnA. 6mn + 3mn = 9mnQ 16x + 3x + 3 + 4A. 16x + 3 + 4 + 3x + 3x = 16x + 3 + 4
     
= 19x + 7Q. - X - y + x - 3A. - X - y + x - 3 =-x + x - y - 3
     
= - Y - 3Q. 2p - 2q + 3P2 - 3p + 5q2A. 2p - 3P2 + 2q - 5q2 + 3p = 2p + 3p - 3P2 + 2q - 5q2
     
= 5p - 3P2 + 2q - 5q2
     
=-3P2 + 5p - 5q2 + 2qA. 6m + 3 (m2 - n2) - 2m2 + 3N2Q. 6m + 3 (m2 - n2) - 2m2 + 6m + =

     3n2 3n2 - 3n2 - 3n2 = 2m2 +
     
6m + 3m2 - 2m2 - 3n2 + 3n2 =
      
m2 + 6m

This  Smart Math Algebra factorization in Mathematics School

2013/07/01

Smart Math Methods Comparison of Temperature

Smart Math Methods Comparison of Temperature
Size Comparison Using Temperature in Celsius, Fahrenheit and Reamur
Those required things considered in comparison of the size of the Celsius temperature, Reamur, Fahrenheit:
  1. Denoted by C centigrade thermometer, thermometer Reamur symbolized by R, denoted by F.    Fahrenheit thermometer
  2. Comparison of C: R: F [+32] = 5: 4: 9
  3. When calculating the temperature in Fahrenheit should be added 32 °
  4. If it comes to calculate the temperature in Fahrenheit to Celsius and 32 ° Reamur be reduced first.
example:
  • 60 ° C = ...... ° R = ...... ° F 
Smart solution :
R = 4/5 X 60 ° = 48 °
F = 9/5 X 60 ° + 32 ° = 140 °
So 60 ° C = 48 ° R = 140 ° F
  • 50 ° F = ..... ° C = ...... ° R
Smart solution :
C = 5/9 x [50 ° - 32 °] = 5/9 X 18 ° = 10 °
R = 4/9 x [50 ° - 32 °] = 4/9 X 18 ° = 8 °
So 50 ° F = 10 ° C = 8 ° R
  • 25 ° C = ..... ° R = ..... ° F
Smart solution :
25 ° C = [4/5 X 25 °] R
4 X 5 = 20 ° R
25 ° C = [9/5 X 25 ° + 32 °] F
[9 X 5] = + 32 ° 77 ° F
  • thermometer shows a temperature of 45 ° Celsius. What is the temperature indicated by a thermometer Reamur and Fahrenheit?
Smart solution :
C = 45 °
C: R: F = 5: 4: 9
R = 4/5 X 45 ° = 36 °
F = 9/5 x 45 ° + 32 ° = 113 °
So 45 ° C = 10 ° R = 113 ° F


Use Easy Methods Comparison of Temperature Although social math still using way as before.
  • Temperature american city yesterday 18°C. Today it dropped 3°C. Temperature American city today If Reamur measured using a thermometer and Fahrenheit, is ....
Smart solution :
Temperature american city  = 18°C
Decrease in temperature  = 3°C
Temperatures today  =  18°C - 3°C = 15°C
Measurement with a thermometer Reamur
15°C = 4/5 X 15°R = 12°R
15°C =  [ 9/4  X 15 + 32 ] F = [ 27 + 32 ] F = 59°R
You can do Test below:
  • Temperature of a meat storage room that is not being used is 25°C.After cooling the machine is turned on for one hour, the room temperature drops by 29°C. so that the temperature reached -16°C, how many degrees the temperature of the room again be lowered ?Answer is 12°C (you prove)
  • CelsiusThermometer shows the temperature of 285°. how high the temperature in the show by Reamur and Fahrenheit thermometer ?
  • Reamur thermometer shows a temperature of 260°. What is the temperature indicated by a thermometer celcius and fahrenheit?
  • daytime temperatures in city A 31°C, at night dropped 12°C. when the morning temperature rises 7°C.What is the temperature in the city in the morning? (try it yourself in your Smart Easy Methods Comparison)

Smart Mathematics Geometry For Tricks easy Math method

Smart Mathematics Geometry For Tricks Easy math geometry we must know and understand the use of the formula, I give the following geometry methods to solve math related to calculating the volume of an object so that we will find the right answer.
Often in everyday life we encounter something amounts to be calculated using the volume, it is appropriate to use in the formula means geometry.
Here we will give examples of questions and answers using smart tricks how to provide a solution for parents, teachers and pupils. So that all the visitors here would be equally beneficial to know and the world of education in this country.
Later we will discuss one by one on the use of key mathematics in ways that are simple and easy and smart.

How do I solve math problems with Mathematics Geometry For Tricks Easy math in school because many students think math is the most frightening, one factor is very weak numeracy skills.

First we will find the volume of a cube with a smart way mathematics :
A cube-shaped bathtub, side length 15 m, filled to the brim what is the volume of water in the tub?
Volume= side X side X side
Volume = 15 X 15 X 15
Volume = 3373
, so the volume of water bath is 3373  


wide a field side of the cube 36 cm ². what is the volume of the cube?
Volume= side X side X side
Volume =
36 X36 X 36
Volume = 46656
 


the volume of a cube is 729 cm ³. length side of the cube is?
Volume = S³
729 = 

³√729 = S , so length side of the cube is 9 cm
 
the volume of a cube is 1728 cm ³. length side of the cube is?
Volume = S³
1728 = 
³√1728 = S , so length side of the cube is 12 cm

the volume of a cube is 1331cm ³. length side of the cube is?
Volume = S³
1331 = 
³√1331 = S , so length side of the cube is 11 cm
 
Second us will find the volume of the beam with a smart way mathematics:
A box-shaped beam, length 14 m and width of the beam 10 m, height of 8 m. When the beam is filled to the brim with sand. what is the volume of sand?
Volume = length X Breadth X Height
Volume = 14 X 10 X 8 = 1120 m³ , so the volume of water bath is 1120 .

Third us will find the volume of the prisms with a smart way mathematics :
Triangular base area 24 cm, height 14 prisms. What is the prime volume?
Volume = area of ​​base x Height
Volume = area of ​​base triangle X High
Volume = 24 X 14 = 336

A triangular prism has a triangular base elbow to elbow with elbow length 6 cm and 4 cm. Prism 4 cm high. Then like a prism is cut into 12 equal. What volume of the three pieces of the prism? do this question with Smart Mathematics Geometry For Tricks math.