Large applications of addition in Areas

          From the previous posts we know that addition is the basic operation of our knowledge. 
           
         In nature, everything is made of group of small units and also those small units are the group of smaller units than their sizes. Small units of same kind or different kind combined together and made different objects. Henceforth we represent this combination using the operation addition because addition process itself derived from the nature.

          Representation of objects using addition is similar to the representation of measurements in units, where we will use some specified measurements (units) to represent the desired measurements.

 e.g.   10 meters [desired length]  = 10 * 1 meter [meter is the fixed reference length and so it is called the unit of length]

Here the desired length is the addition of fixed reference length 10 times.

          Another example:6.023*10 to the power 23 [6.023*10^23] particles makes the measurement of one mole.

Here the number 6.023*10 ^ 23 is the representation of the addition of 6.023*10^ 23 units.

          Almost all the thing in this universe follows addition. All these combinations made addition process very important in our life. That is why we are concerned about the simplification of addition.

          The process itself can’t be simplified or changed since processing method is natural. But we can make some remembering or mugging up for some specified problems of additions to make the calculations easily.

Specified additions are those additions that we used often in our daily life. So we are interested in the calculations that used essentially in our life.

One of that essential uses is Multiplication.

           Multiplication is first formed due to its great need in finding areas of simple shapes.

The uses of simple shapes are that, we can calculate its areas and volumes easily. Knowing precise areas and volumes we can make accurate arrangements and calculations in building construction, architecture design, etc. That is why perfect and simple shapes are preferred in most of the constructions.

Before any construction work, we should have studied about these measurements of areas and volumes.  

e.g. Size of the bricks using in construction works will have same amount of area and volume. This simplicity in areas and volumes made the arrangement of bricks easy and simple. Due to accurate measurements of those bricks they will fill the volume of the building shape properly without leaving any space.

          One of those single shapes is rectangle, a perfect closed shape. Each and every property about a rectangle is well defined. For its simplicity we used if often in our life from ancient times. And area of rectangle is defined step by step like the improvement of units.

          Area is the measure of space enclosed by any closed shape in 2 D plane with its limits.

The area can be represented in many ways. One of the way is we can represent area by saying the amount of total balls covered in that space by putting many balls in that area without leaving so much space. So we can denote that area as the space covered by x amount of balls in that plane.

         Here in the above example we denoted the area as the space covered by 5 rows of 6 balls = 30 balls. Though there is some space left in that area it is not a problem because I am just explaining how the representation of area was made.

But when we need more accurate measurements, instead of representing area by balls we represented it by lengths. Representation of areas were developed using accurate,  precise and well defined lengths.

That we will see in the next post.