What is Quick Subtraction of Tens Techniques  in Math?

Subtraction is one of the four basic arithmetic operations in mathematics. The other three being addition, multiplication, and division.

We can observe the applications of subtraction in our day-to-day life in different situations.

For example, if we have 3 candies and our friend asks us for 1 candy, how many candies are we left with? Simply,

3−1=2

We can calculate this by subtracting 3 from 6:

6−3=3

Definition of Quick Subtraction of Tens Techniques

The operation or process of finding the difference between two numbers or quantities is known as subtraction Quick Subtraction of Tens Techniques. To subtract a number from another number is also referred to as ‘taking away one number from another’. Some instances where we use subtraction are while making payments, transferring money to our friends and many more.

Symbol of Subtraction

In mathematics, we have generally used different symbols for different operators. We have symbols like +,−,/,∗ and many more. The subtraction symbol “−” is one of the most important math symbols that we use. In the above section, we read about subtracting two numbers 6 and 3. If we observe this expression: (6−3=3), the symbol (−) between the two numbers is what denotes subtraction. This symbol is also known as the minus (−) sign.

Formula of Quick subtraction of tens techniques Operation

When we Quick subtraction of tens techniques two numbers, we commonly use some terms that are used in a subtraction expression:

Minuend: A Minuend is the number from which the other number is subtracted.

Subtrahend: A Subtrahend is the number which is to be subtracted from the minuend.

Difference: A difference is the final result after subtracting the subtrahend from the minuend.

The subtraction formula is written as

Minuend − Subtrahend = Difference

For example,

7−3=4

Here,

7= Minuend

3= Subtrahend

4= Difference

Mathematical Operations on Integers?

• Multiplication of two negative numbers gives a positive number.

Negative × Negative  = Positive

For example, (−5)×(−15)=+75

• Multiplication of a negative number and a positive number gives a negative number.

Negative × Positive  = Negative

For example, (−5)×(15)=−75

• Addition of a negative number with a negative number will always give a negative number.

Negative + Negative = Negative

For example, (−3)+(−4)=(−7)

• Subtracting a positive number from a negative number will always give a negative number.

If we subtract a positive number from a negative number, we start at the negative number and count backwards.

Negative − Positive = Negative

Using the number line, let’s start at −3.

For example: Say, we have the problem (−2)−3.

Methods of Subtraction

There are various methods for subtraction. In this article, we shall be discussing three of them.

Visual representation

One of the methods is to use a diagram showing what you start with, what you are taking away, and what you are left with.

For example, we have 5 balls, now a friend asks for 2 balls, we can easily calculate that we are left with 2 balls using the concept of subtraction.

Subtraction on Number Lines

If we want to calculate 5 minus 2, we start from 5. Since we need to subtract 2,  we take 2 steps back. Finally we observe that we are standing at 3.

So, this is how 5−2 is calculated on the number line.

Properties of Subtraction

Here are a few important properties of subtraction in our everyday life.

• Commutative property of subtraction:

states that swapping of numbers does not alter the result. But in subtraction, we cannot get the same output when we put minuend in place of subtrahend and vice versa. Hence, commutative property is not possible in case of subtraction.

For example, 8−5 is not equal to 5−8.

• Identity property of subtraction:

Identity property states that when we subtract “0” from a number, the resultant is the number itself.

For example, 5−0=5.

• Inverse Property of Subtraction (Subtracting a number by itself):

When we subtract a number from itself, the resultant is always “0.”

A−A=0

For example, 9−9=0.

For the given  algebra equation;

⇒×−3=5

If we subtract the same number on both sides, the equation will still hold true. Here we will subtract 8 from both sides.

⇒×−3−8=5−8

⇒×−11=−3

• Distributive Property of Subtraction

According to the property, the multiplication of subtraction of numbers is equal to subtraction of the multiplication of individual numbers.

A×(B−C)=A×B−A×C

For example: 3×(5−2)=3×3=9 and 3×5−3×2=15−6=9

Conclusion

In this article, we have learned about subtraction, its definition with example, the symbols used for it, the common methods used for subtraction. We also learned about the minus sign. The minus sign is used for different purposes. Let’s practice our understanding with a few solved examples and practice problems and solved examples.

Solved Examples On Subtraction

1. In a soccer match, Team A scored 5 goals and Team B scored 9 goals. Which team scored more goals and by how much?

Solution:

Goals scored by Team A=5;

Goals scored by Team B=9

We can clearly see that Team B scored more goals. To calculate the numbers of goals by which Team B exceeded, we will subtract 5 from 9.

9−5=4