LEARNING OBJECTIVES
This lesson will help you to:—
- be able to find the difference between two numbers.
- be able to solve real life problems based on subtraction.
- explore various facts of subtraction.
- be able to define subtraction.
- be able to define the terminology of subtraction.
- be able to explain the properties of subtraction.
Real Life Example
Subtraction is used in every sphere of our life. It is used in our daily activities like purchasing grocery, all monetary transactions like banks etc.
More on top?????
No need to stop.
More on the floor?????
Go next door, get ten more.
Numbers the same?????
Zero’s the game.
QUICK CONCEPT REVIEW
WHAT IS SUBTRACTION?
Subtraction is taking away some objects from a given collection. It is taking one number away from another.
Some other names used in subtraction are Minus, Less, Difference, Decrease, Take Away, Deduct.
TERMINOLOGY
Difference
The result obtained after subtraction is called difference.
It the result obtained after subtracting one number from another.
Minuend
The number that is to be subtracted from is called minuend.
Subtrahend
The number that is to be subtracted is called subtrahend.
MINUEND – SUBTRAHEND = DIFFERENCE
For example, 50 - 20 = 30
Here, Minuend = 50
Subtrahend = 20
Difference = 30
PROPERTY OF SUBTRACTION
When we subtract a number from itself, the answer is always Zero.
For example: 6884 – 6884 = 0
When we subtract zero from a number, the answer is the number itself.
For example: Monty saw 9 mangoes on a mango tree.
He wants to eat the mangoes but could not reach them. How many mangoes were left on the tree?
There were 9 mangoes on the tree. Monty could not get any mango. It means still there were 9 mangoes on the tree.
This can be written as 9 – 0 = 9
Therefore, there were 9 mangoes left on the tree.
Hence, we can say that when we subtract zero from a number, the answer is the number itself.
SUBTRACTION WITH NUMBER LINE
72 – 45 =?
5 + 20 + 2 = 27
Therefore, 72 - 45 = 27
USES OF SUBTRACTION
To find out how many are left: In a singing competition, 25 students out 75 qualified for the next round? How many students were left unselected?
Here we have to find the number of students who were left unselected. Whenever we have to find how many are left we use subtraction.
Amazing Fact
The above question can solved with an amazing shortcut also.
5000 – 1832 =?
5000\[\to \]5000-1\[\to \]4999
-1832\[\to \]1832-1\[\to \]1831
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3168
Therefore, number of students left unselected = Total number of students - Number of students selected = 75 - 25 = 50
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