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?


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.


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?


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

Out of 568 children of a village, 354 walk to school. Exactly how many children don’t walk to school?A person had $5680. If he spent $3456 of the full amount, just how much money is that left with?By exactly how much is 3689 much less than 6789?Melvin earns a monthly salary of $6777. Mean she conserves $577 monthly. Calculate her monthly expenditure?The price of a phone is $290, and also that of a clock is $78 less than that phone. Exactly how much walk the clock cost?A hardware store had actually 20000 bags of cement. If 3,450 bags were sold, how numerous bags are left in the hardware?A woman wants to buy a dress that costs $205, but she has actually only $156. Just how much more money go she should purchase the dress?A male started a trip of 5067 kilometres car. The end of the total journey, he covered 3589 through train and also the rest 20km through motorbike. How plenty of km did the cover by car?The difference in between the two numbers is 4509. If the smaller sized number is 68888, calculation the value of the bigger number?There room 600 students in great 4 course of a school. The end of the total, 200 students have actually the period of between 9 come 11 years, and the rest have actually the age of between 12 to 13 years. Calculate the variety of students with the age difference of 12 come 13 years?Previous Lesson | Main page | following Lesson