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2013/09/18

Smart Math Tricks Easy way

How to smart math tricks Math Elementary First Class what to do or preparation?

Who would have been able to write the numbers 1 through 9 must be able to write numbers why, at the time was sitting in elementary school lessons are no longer teach start writing or reading other than that if you can not write numbers and letters would therefore prepare to miss your son or daughter at admission elementary was able to write or read.
Be sure to calculate a simple summation or subtraction without borrowing system units ranging from minus / plus the units, tens minus / plus dozens still at its initial commitment to make or give exercises in children figures not to meminjan up first because if the problem is too severe will cause fear in arithmetic (Numeric Phobia), it is good to avoid making the problem leads to a system borrowed depanya numbers.
Give about bagaima How to Quickly Mastering Math summation with storing system but remember do not directly made about tens plus dozens, but step by step as units plus units with saving techniques and this can be done several times to understand the essence of summer in math most large is 9 + 9.
Later in rather long teaching process, namely the reduction of the number of future borrowing system for this phase necessitates patience in conveying how because of the logic at this age is still unstable, so it should be given about the patient with a record of tens of reduced units such as 11-2 and 13-4 and onwards.
This way tips smart math tricks.

2013/09/16

Smart Way Mathematics

The Smart Way to Early math is a step that must be taken by many older people especially the young mothers who always want their children so smart math since kindergarten age , a variety of ways such as looking for an agency pursued ranging from A to Z of financially affordable to the high level .Basically my goal is just a clever math or general subjects but math is a top priority because of what ? , Indeed mathematics requires fast and precise counting this is a long process because the child had often heard a number of points and a lot of practice , as for some Tips on how clever mathematics from an early age as follows :

    
In the golden age of children is very high level of intelligence seraph brain power , at this age an important role for parents to air an effort to provide guidance began writing numbers that can not be made better with the help of number of points , then the child is asked to be the point
thicken numbers - point proficiency level this is done with the sorts of numbers such as the number 2 performed many times and then figure be changed so that children write numbers memorized .
    
The second process is the task seoang why mothers should mother again because math is better when presented in the native language at this step mother prepare objects or toys that will be better shaped figure objects in the form of 3-dimensional shape earlier figures are colorful , in the form of 3 -dimensional will create a memory in a child's imagination .
    
After the third process can write numbers next step is to learn simple numbers do not add up over 10 because it is training or raising the left brain ( functions writes , menhitung ) is also useful in addition to enlarged right brain ( function for air imagination ) . since the right brain for imagination then air the parenting skills needed to make a story about dealing with a sum of not more than 10 .
Example : Anto has 2 marbles are then given 5 marbles father so how marbles Anto now ? . Note : This example is presented in the story just does not need to be written so kids just answered only

2013/08/13

Formula Math Perimeter of a Circle



Perimeter is the distance around a closed figure and is typically measured in millimetres (mm), centimetres (cm), metres (m) and kilometres (km). These units are related as follows:
10 mm = 1 cm
100 cm = 1 m
1000 m = 1 km

The word 'perimeter' is also sometimes used instead of circumference.
If we know the radius
Given the radius of a circle, the circumference or perimeter can be calculated using the formula bwloe:

Perimeter (P) = 2 · π · R
where: R is the radius of the circle π is Pi, approximately 3.142
If we know the diameter
If we know the diameter of a circle, the circumference can be found using the formula
Perimeter (P) = π · D
where: D is the diameter of the circle π is Pi, approximately 3.142
If we know the area
If we know the area of a circle, the circumference can be found using the formula:
Perimeter (P) = √(4 · π · A )
where: A is the area of the circle π is Pi, approximately 3.142



Smart Math Example 1:
A circular flower-bed has a radius of 9 m. Find the perimeter/circumference of the flower-bed.
Smart Solution:

P = 2 · π · R
P = 2 · 3.1416 · 9
P = 56.5487 cm
So, the perimeter/circumference of the flower-bed is 56.5487 m.



Smath Math Example 2: Find the perimeter of the given circle whose diameter is 4.4 cm.
Smart Solution:
Given that:
Diameter of the circle (D) = 4.4 cm.

We know the formula to find the perimeter of the circle if the diameter is given, namely π·D.

Substitute the diameter 4.4 and Pi value as 3.14 in the above formula.
Perimeter = (3.14)(4.4) = 13.82
Therefore 13.82 cm is the perimeter of the given circle.

Smart Math Example 3: If the radius is 11.7 cm. Find perimeters (circumference) of the circle.
Smart Solution:
Given that:
Radius (r) = 11.7cm
Perimeter (circumference) of circle P = 2 π r
Substitute the r value in the formula, we have:

P = 2 x 3.14 x 11.7
P = 79.56 cm
Thus, the perimeter of the circle is 79.56cm

Smart Math Example 4: Find the perimeter and area of the circle, if the radius of the circle is 8cm.
Smart Solution: We have given the radius, which is 8cm. So, by using the formula of the perimeter of the circle, we have:

P = 2πr
P = 2×3.14×8
P = 50.24 cm
And for the area of the circle:-
A = π r2
A = 3.14×(8)2
A = 200.96cm2

Smart Math Example 5: The wheel of a bullock cart has a radius of 6 m. If the wheel rotates once how much distance does the cart move?
Smart Solution:
If the wheel rotates once, the cart will move by a distance equal to the perimeter of the wheel.
Step 1:
P = 2πr
P = 2× 3.14× 6 = 37.68 m
Thus, the bullock cart moves 37.68 m in one revolution of the wheel.

That is Formula Math Perimeter of a Circle

Formula Math Perimeter of a Rectangle

Formula Math Rectangle





Formula Math in rectangle, the distance around the outside of the rectangle is known as perimeter. A rectangle is 2-dimensional; however, perimeter is 1-dimensional and is measured in linear units such as feet or meter etc.The perimeter of a rectangle is the total length of all the four sides.
Perimeter of rectangle = 2L + 2W.
Math Example 1 : Rectangle has the length 13 cm and width 8 cm. solve for perimeter of rectangle.
Smart Solution:
Given that:
Length (l) = 13 cm
Width (w) = 8 cm

Perimeter of the rectangle = 2(l + w) units
P = 2(13 + 8)
P = 2 (21)
P = 42

Thus, the perimeter of the rectangle is 42 cm.

Math Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?

Smart Solution:
We know that the dimensions of the rectangle in terms of x:
 l = 2x + 1
w = 2x – 1

Since the area of a rectangle is given by:
A = l * w

We can substitute the expressions for length and width into the equation for area in order to determine the value of x.

A = l * w
15 = (2x + 1) (2x -1)
15 = 4x2 – 1
16 = 4x2
x = ±2

 Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:
l = 5 cm
w = 3 cm
Therefore, the dimensions are 5cm and 3cm.

Now, substituting these values in the formula for perimeter, we will get
P = 2l + 2w
P = 2(5)+2(3)
P = 10+6
P = 16 cm

Math Example 3: Find the area and the perimeter of a rectangle whose length is 24 m and width is 12m?
Smart Solution:
Given that:
length = L = 24m
width = W = 12m

Area of a rectangle:
A = L × W
A = 24 × 12
A = 188 m2

Perimeter of a rectangle:
P = 2L + 2W
P = 2(24) + 2(12)
P = 48 + 24
P = 72 m

Math Example 4: Find the area and perimeter of a rectangle whose breadth is 4 cm and the height 3 cm.
Smart Solution:
Area = b×h = 4×3 = 12 cm2.
Perimeter = 2(b) + 2(h) = 2(4) + 2(3) = 8 + 6 = 14.

Math Example 5: Calculate the perimeter of the rectangle whose length is 18cm and breadth 7cm
Smart Solution:
Given that:
L = 18 cm
B = 7 cm

Perimeter of rectangle = 2(length + breadth)
P = 2 (L + B)
P = 2 (18 + 7)
P = 50 cm


Math Example 6: Find the perimeter of rectangle whose length is 6 inches and width is 4 inches.
Smart Solution:
P = 2(L + B)
P = 2(6 + 4)
P = 20 in

Math Example 7: A boy walks 5 times around a park. If the size of the park is 100m by 50m, find the distance the boy has walked. If he walks 100m in 5 minutes, how long will it take for him in total?
Smart Solution:
Given that:
Length = L = 100m
Width = W = 50m
Rounds = 5
Time per 100m = 5minutes.

Perimeter of the park:
P = 2 L + 2 W.
P = 2 × 100 + 2 × 50
P = 200 + 100
P = 300 m

Total distance walked = 5 × Perimeter of the park.
= 5 × 300
= 1500 meters

Total time taken = Total distance walked × time taken to walk 1m.
= 1500 × 5/100
= 75 minutes or 1hr 15minutes



That is smart math formula of Perimeter of a Rectangle

2013/08/04

Formula Math Surface Area of a Sphere

Difinition smart math formula of A sphere is a three-dimensional space, such as the shape of a football. A sphere is a body bounded by a surface whose every point is equidistant (i.e. the same distance) from a fixed point, called the centre or the origin of the sphere.
Like a circle in three dimensions, all points from the center are constant. The distance from the center to any points on boundary is known as the radius of the sphere. The maximum straight distance through the sphere is known as the diameter of the sphere. One-half of a sphere is called a hemisphere.




We can find the total surface area of a sphere by using the following formula:
SA = 4 π r2
where r is the radius.

NOTE: The value of π can never be calculated exactly, so the surface area of a sphere is only a approximation.

Surface area of sphere in terms of diameter = πd2
 
where d is the diameter of the sphere.

  •   What is the total surface area of a sphere whose radius is 5.5 meters?

Smart Solution: 
Given that:
r =5.5
Surface area of the sphere:
SA = 4 × π × r2
SA = 4 × π × (5.5)2
SA = 4 × 3.14 × 30.25
SA = 379.94
Thus the surface area of the sphere is 379.94 m2.  
 
A spherical ball has a surface area of 2464 cm2. Find the radius of the ball, correct to 2 decimal places, using π = 3.142.

Smart Solution:
SA = 4 × π × r2
In order to find r, we need to isolate it from the equation above:
r2 = SA / (4π)
r2 =2464 / (4 × π)
r2 =196.054
r = √(196.054)
r = 14.00 cm

  •   Find the surface area of the sphere whose radius is 18 cm. [π = 3.14]

Smart Solution:
r = 18 cm
The surface area of a sphere is given by:
SA = 4 × π × r2
SA = 4 × π × 182
SA = 4 × π × 342
SA = 4069.44 cm2

The surface area of the sphere is 4069.44 cm2.

  • Find the surface area of a sphere, whose radius is given as r = 11 cm.

Smart Solution:
The formula for calculating the surface area of sphere is given by:
SA = 4 × π × r2
SA = 4 × 3.14 × 112
SA = 1519.76
The surface area of sphere is 1519.76 cm2.

Example 5: A hemisphere has the radius measured to 8.3 cm. Find the surface area of it without the base.
Solution:
r = 8.3 cm
The surface area of a hemisphere without the base is determined by using the following formula math:

SA = 2 × π × r2
SA = 2 × π × 8.32
SA = 432.62
The surface area of the hemisphere is therefore 432.62 cm2.

  •   Find the surface area of a sphere whose radius is 6cm?

Smart Solution:
SA = 4 × π × r2
SA = 4 × π × 62
SA = 4 × π × 36
SA = 452cm2

That is formula math in aplication mathematics of  Formula Math Surface Area of a Sphere.