Subtraction of Algebraic Expression

In Mathematics an Algebraic Expression is an expression that includes constants and variables with the algebraic operation like division, addition, subtraction, multiplication and many more. There are several types of algebraic expressions and they are monomial, binomial, trinomial, polynomial and multinomial. In this paper, the main focus was on subtraction. The term of subtraction was also called minuend and subtrahend and the outcome is called the difference. Minuend was that number or number of things that were taken first, from which the second number was going to be subtracted. It must be the largest number in the whole question. The Subtrahend is the second number and must have to be the smaller one. This is the number that is going to be subtracted from the minute.

The formula for Subtraction of Algebraic Expression

The arithmetic operation of Subtraction happens based on a specific equation and that is Minuend – Subtrahend = Difference.

 ( – 7y + 16xy) – ( 5y + xy) = ( – 7y + 16xy – 5y + xy)

= ( – 7y – 5y)  + ( 16xy – xy) (combining like terms)

= – 12y + 15xy

Here in this equation two values were taken and they are (-7y + 16xy) and (5y +xy). With the help of algebraic formulas, this equation has been solved. Here in this equation, the value of xy is variable. So the result depends on the variables that would be positive or negative.

Definition for Subtraction of Algebraic Expression 

Subtraction is one of the primary arithmetic operations that is always denoted by the symbol of (-) ‘Minus’. Subtraction is the method for calculating the difference between two different values. This operation is used to get the difference between any two numbers that belong to the same group of things. This is the process or act of subtracting. This mathematical operation has been done in order to calculate the difference between two numerical values. With the help of this process, anything can be counted such as distance, quantity, height, weight, width or anything. This mathematical operation is useful in the act of measuring things or numbers or anything. This equation can be written as the Bigger amount of numerical value- A smaller amount of numerical value = Result of difference. Here the difference is the result.

There are four properties of subtraction and they are Subtracting a number from itself; Subtracting 0 from a number; order property; Subtraction 1. There are three types of subtraction in an algebraic expression. These types are taking away, part-whole and comparison subtraction. In the taking away type of subtraction problem, one or more particular items or any product has been taken away from a specific type of group. The type of part-whole subtraction happens in algebraic expression when the total size or amount of anything is known and in order to find the amount of a part one has to subtract the amount of the other part that was already given in the problem. The next and last type of subtraction is Comparison; it is the most challenging subtraction for the children. This comparison subtraction has been done in order to find out the size of a particular item. This subtraction shows how much smaller or bigger that item is, in comparison with another product.

Application for Subtraction of Algebraic Expression

There are various operations of Subtraction in real life, math and other scientific and programming functions. Thirty students from a school were taking part in the school’s annual function. There are a total of twelve hundred students in the whole school. In order to count the number of students who were not taking part in the school function, someone had to use the formula of subtraction.

This operation of the subtraction can be done in order to find out the difference between two measurements. Two walls or boundaries of different heights have been made. In order to find out the difference between two walls, the operation of subtraction has to be done.

This can also help calculate time. Two people have to go to the same destination from two different places. In order to find out the difference in the duration of the journey between two people, the arithmetic operation of subtraction must have been done.

Suppose, there was a school and the total number of students was twelve hundred. In the annual school function, thirty students were taking part. In order to find out the number of the students who were not taking part in the school function, again the operation of subtraction is needed.

No equation of subtraction or even the other equations are helpless too without the help of subtraction. It is also important in scientific equations. Programming functions will not be able to work without subtraction.

Conclusion

This paper is all about algebraic expression, Subtraction. In this paper, at first, a meta description was given in which subtraction was defined. In the next section, a small introduction was given about the subtraction along with the algebraic expression. In the section of the discussion, an elaborate description was given. In this part, some facts about subtractions were discussed. Those facts are contained with some formulas of subtraction, some definitions of subtraction given by different mathematicians and applications of subtraction in math and also in real life. At the end of this paper, some easy questions and answers were given for the readers in order to understand the subtraction of algebraic expressions easily.