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# Subtrahend

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Last updated date: 11th Sep 2024
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## Subtraction

Subtrahend is the part of a subtraction whereas subtraction is one of the arithmetic operations.

Subtraction is a mathematical process that describes the elimination of objects from an array. The minus sign, - represents subtraction. For example, there are 5-2 apples, which means 5 apples with 2 removed, for a total of 3 apples. As a consequence, the difference between 5 and 2 is 3, or 5 2 = 3. In arithmetic, subtraction is generally correlated with natural numbers.

### Subtrahend Meaning and Properties

Subtraction follows several distinct patterns. It's anticommutative, which means that changing the order changes the answer's symbol. It's also not associative, which means that when subtracting more than two numbers, the order in which they’ve subtracted matters. Subtracting 0 from a number does not affect since it is the additive identity. Subtraction follows a set of predictable rules when it comes to operations like addition and multiplication. Many of these laws can be shown, beginning with integer subtraction and progressing to real numbers and beyond. Abstract algebra is used to research general binary operations that obey these patterns.

Subtracting natural numbers is one of the most basic mathematical operations.

An expression involving subtraction, such as A B, is commonly treated as a shorthand notation for the addition of A + (B) in advanced algebra and computer algebra. As a result, A B is made up of two terms: A and B. Associativity and commutativity can now be used more effectively.

### Subtrahend Representation

Subtraction is typically written in infix notation, with the minus sign "-" between the words. An equals sign is used to express the result. As an example,

4-3=1  (It's pronounced as "four minus three equals to one").

9-3=6  (It's pronounced as "nine minus three equals to six").

4-1=3  (It's pronounced as "four minus one equals to three").

There are also cases where subtraction is "understood" in the absence of a symbol: A column of two numbers with the lower number in red generally means that the lower number in the column should be subtracted, and the difference should be written below, under a line. This is most popular in the accounting profession.

### Subtrahend Pronunciation:

The subtrahend can be pronounced as “ suhb truh hend”.

### Define Subtrahend:

The subtrahend and minuend meaning is explained as follow:

Subtrahend definition can be defined as the number being subtracted from another number in arithmetic operation is defined as subtraction subtrahend. The other number from which subtraction subtrahend is subtracted is referred to as minuend subtrahend and the result is referred to as difference. Minuend subtrahend and add all are the parts of arithmetic operations.

Minuend - subtrahend= Difference

In the given example:

5-2=3

5 is referred to as minuend

2 is referred to as the subtrahend

3 is referred to as difference.

The value of subtrahend, minuend, and difference can be positive as well as negative. The sign of difference depends on minuend and subtrahend which follows arithmetic properties which are explained below:

3 + 5= 8 (the sign of two positive number is positive)

3 + -5= -2 ( sign of larger number)

-3 + 5= 2  ( sign of larger number)

-3 + -3= 6 (sign of two negative number is ‘positive’)

### Missing Subtrahend

It is one of the most common methods used by the teachers for the students to check the understanding of students among the basic concepts of arithmetic operators. As the name suggests, the subtrahend is missing in the equation, and students need to determine the value of the subtrahend. If the value of the subtrahend is unknown but the minuend and difference are known, we can find the subtrahend by subtracting the difference from the minuend in a subtraction sentence. The example of a missing subtrahend equation is given below:

For example: In 70-  = 50, the subtrahend is 70 - 50=20.

Complement Method: The complement method is one of the methods which is used to pursue subtraction. The complement if 1 is 0 and the complement of 0 is 1. In this method, the number is represented in decimal form in the form of 0’s and 1’s.  The complements method is a technique for subtracting one number from another by adding only positive numbers. This method was popular in mechanical calculators and is still used in computers today. To subtract a binary number b (the subtrahend) from another number a (the minuend), one is added to the sum and the ones' complement of y is added to a. The result's leading digit "1" is then discarded. The complement method is especially useful in binary (radix 2) because obtaining the ones' complement is as simple as inverting each bit (changing "0" to "1" and vice versa). Simulating a carry into the least significant bit can be used to add 1 to get the two's complement.

For Example:

01100100 (a, equals decimal 100)

00010110 (b equals decimal 22)

The sum;

01100100  (a)

+ 11101001  ( one complement of a’s)

+ 1 ( to get 2’s complement)

101001110

Dropping the initial 1 gives us the value of 01001110 (equals to decimal 78).

## FAQs on Subtrahend

1. What are Arithmetic Operators? Explain.

Ans: An arithmetic operator is a mathematical function that performs a calculation on two operands. They're popular in everyday math, and most programming languages have a collection of them that can be used in equations to perform a variety of sequential calculations. Addition (+), Subtraction (-), Multiplication (*), Division (/) are the most commonly used arithmetic operators which have their advantages in the real world.

Addition: The most fundamental arithmetic operation is addition. 5 + 2 = 7

Subtraction: The opposite of Addition is Subtraction. 7-2=5

Multiplication: Multiplication also blends many quantities into a single quantity, which is referred to as the product.5*2=10

Division: Division is the opposite of Multiplication. 8/4=2

2. What is the Larger Number in Subtraction?

Ans: The words for subtraction are minuend subtrahend, and the result is referred to as the difference. The minuend is the first number; it is the number from which you deduct everything, and it must be greater. The number that is subtracted is called the subtrahend, and it must be the smaller number. The above scenario is the most common scenario which has been used. But there are different scenarios in which a minuend can be a smaller one and a subtrahend can be a larger one.