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Definition: A branch of the mathematics that substitutes the letters for the numbers. An algebraic equation represents a scale, what is done on one side of scale with a number is also done to other side of scale. The numbers are constants. The Algebra can include the real matrices, complex numbers, vectors, numbers etc. Moving from the Arithmetic to the Algebra will seem something like this: the Arithmetic: 3 + 4 = 3 + 4 in the Algebra it would seem like: x + y = y + x.


1. Algebra is a method of the calculating using the simple equations to represent the quantity and to explain the relation between them. Algebra is also the part of our life, we use it on measuring length of our notebooks, table, doors and the other more. Another concept of the mine is measuring the capacity, in school we always measure right amount of the ingredients that we cook. Because to an culinary student like me we are showing how to measure exact amount of the ingredients that we going to use. The Scientific details can be used in the Chemistry; Chemistry uses the equations of algebra. Like adding, subtracting, multiplying and dividing the Scientific notation. In the mixture problems, we are using it to know how many water are on gallons. We always buy water, in that case we require the mixture problems.

2. The "Mathematics is one of first things you learn in life. Even as a baby you learn to count. Starting from that in tiny age you will start to learn how to use the building blocks how to count and then move on to the drawing figures and objects . All of these things are significant preparation to doing the algebra."

3. When writing any assignments use of data, graphs and the math will validate your statements and build it appear more professional. The Professionalism is of essence if you want to move ahead and be taken critically. Can you see the importance of the algebra? Your day can be made a lot easier with the planning. In the financial decisions this can save you a lot of finances or maybe get you best price available. It all comes down to the planning and using knowledge and the algebraic skills you have to benefit your own life. Use the key you have and build your life a lot smoother.

4. Algebra is one of most vital subjects someone can learn. It is a subject that transfers into the daily life, often without the anyone even realizing it.


Algebra is a division of the mathematics designed to help solve the certain types of problems easier and quicker. Algebra is based on concept of the unknown values called the variables, the unlike arithmetic which is based entirely on the known number values.

An equation represents a scale such as one shown on right. Instead of keeping scale balanced with the weights, constants or numbers are used. These numbers are called the constants because they constantly have same value. For example number 47 always represents the 47 units or 47 multiplied by an unknown number. It never represents another value. The equation may also be balanced by the device called a variable. A variable is an unknown number that represented by any letter in alphabet. The value of each variable must remain same in each problem.

Several symbols are used to relate all of variables and the constants together. These symbols are listed and explained below:

  1. ???       Multiply
  2. *          Multiply
  3. /           Divide
  4. +          Add or Positive
  5. -           Subtract or Negative


1) Algebra is used in the companies to figure out their yearly budget which involves their yearly expenditure. It, along with the statistics is also used to forecast their yearly turnover.

2) Even various stores use the algebra to predict demand of a particular product and place their orders similarly. The Algebra is also used in preparing bills of customers in case of the purchase multiple numbers of same entities.

3) Algebra is used in schools by teachers to prepare yearly reports of children. Also, it can be used during the examination to predict the usage of the supplementary sheets, consequently helping in finding out required number. It can be used to figure out pass percentage for a test.

4) It also has individual applications in form of the calculation of yearly taxable income, bank interest, installment loans and payable income tax.

5) While reading temperature in a thermometer, we can use this plain formula for the converting °Celsius temperature into the °Fahrenheit. The Degrees in Celsius (9/5) + 32 = the Degrees in Fahrenheit

6) During construction of buildings algebra can be used to formulate a range of measurements of building in a proper ratio.

7) In the chemistry, the algebra can be used to calculate quantity of a substance required in the experiment. Also, it is used to calculate quantity of a variety of substances formed in an experiment.

8) Unconsciously we are using the algebra in everyday life akin to when we go for the shopping and compare pricing of the range of products according to their quantity.


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Assignment topic - abstract algebraq1 let r be the ring of

Assignment Topic - Abstract Algebra Q1: Let R be the ring of all 2 X 2 matrices over Z p , p is a prime. Let G be the set of elements x in the ring R such that det(x) ≠ 0. Find the order of G. Q2: If R is a commutative r ...

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