Like addition, individually is additionally one the the oldest and the most simple arithmetic operations. **The word subtraction is derived from the 2 words**, ‘**sub**’ and also ‘**tract**,’ which average under or below and to pull or bring away, respectively. Therefore, subtraction way to carry away the reduced part.

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Subtraction is known to mathematicians for more than 6000 years. German Mathematicians an initial used the price of subtraction as markings top top barrels. That is then supplied as one operational symbol in the 1500s. Later in 1557, it became common once Robert Recorde, a well known Physician and also Mathematician, provided it in the Whetstone the Witte.

## Subtraction Definition

Subtraction is denoted by a hyphen (-)." />

In the 1200s, the method of subtraction was dubbed borrowing or decomposition. ~ 1600, the mathematicians presented the term subtraction and defined it together a mathematical procedure where an amount is taken away from the total amount. It is also the difference in between the 2 amounts.

**Subtraction is denoted by a hyphen (-).**

For example, in the subtraction sentence 20 – 5= 15, 5 is taken away from 20, leaving 15. The individually sentence has four main parts: the subtrahend, the minuend, an same sign, and also the difference.

Understanding parts of a individually sentence is useful due to the fact that it enables the learner to grasp an essential subtraction principles and develop techniques to tackle subtraction problems.

## Parts that Subtraction

### The Minuend

The minuend in the individually sentence is the starting amount indigenous which other amounts are take away away. Because that example, in a individually sentence: 12 – 8 = 4, the minuend is 12.

### The Subtrahend

This the number being taken far from the beginning amount. In the subtraction sentence: 12 – 8 = 12, the subtrahend is 8. A individually sentence deserve to have lot of subtrahends, depending upon the intricacy of the equation.

### The amounts to Sign

The amounts to sign gift the third component of any type of subtraction sentence suggests that the two sides the the equation space equivalent. The equates to sign is denoted by ‘**=**’ and also is inserted between values being subtracted.

### The Difference

In a individually sentence, the distinction is the price or result of the operation. Because that instance, 12 – 8 = 4; the difference, in this case, is 4.

## Properties that Subtraction

**Identity Property**

The identification property claims that any number minus or add to zero is the number itself. For example,

4 – 0 = 4.

For this case, the is advisable to remind learners once subtracting large groups that numbers the the number zero walk not impact other number in the equation.

**Inverse Operations**

Addition and also subtraction are normally opposites of every other. For example,

12 + 5 – 5 = 12.

Adding and also subtracting the very same amount is the very same as canceling the two amounts. For this reason, students are motivated to determine numbers the cancel each out, especially when dealing with the enhancement and subtraction of huge groups of numbers.

**Commutative Property**

The commutative residential or commercial property states the the adjust of numbers in a mathematical equation does not influence the last answer. The commutative residential property does not use to subtraction due to the fact that 5 – 2 is no the same as 2 – 5.

**Associative Property**

The associative home is applied to equations that usage brackets, braces, and parentheses to group numbers together. In other words, you can move the parentheses approximately different teams without changing the final answer.

This residential or commercial property is likewise not applicable to subtraction because: (3 – 4) – 2 is not equivalent to 3 – (4 – 2). This shows that girlfriend cannot move the brackets roughly when working on a individually equation.

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*Example 1*

Sam has 99 cupcakes. If he gave 32 to Nina and 49 come Julie, how countless cupcakes left v him?

Solution

Total variety of cupcakes = 99

Nina bring away = 32

Julie take away = 49

Number of cupcakes left = 99 – 32 – 49 = 18

*Example 2*

In 2012, a firm had a staff of 1000 employees. As result of the recession, the agency terminates the 230 employees in 2015 and also 220 employees in 2017. If the firm does no hire any new employees in this period, recognize the number of employees by the end of 2017.

Solution

Total employees in 2012 = 1000

Company terminates its 230 employees in 2015,

Employees left = 1000 – 230 = 770

Company terminates 220 employees in 2017,

Employees left = 770 – 220 = 550

*Example 3*

James, Mike, and also Curran have bank accounts in main Bank. Mike has actually $500 more than James, and also Curran has actually $300 less than James. If Mike has actually $1200 in his account, exactly how much does Curran have?

Solution

Mike = James + $500

Curran = James – $300

James = Curran + $300

Mike = Curran + $300 + $500

Curran = Mike – $300 – $500

Curran = Mike – $800

Curran = $1200 – $800

Curran = $400

*Practice Questions*

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