Subtraction:
A fundamental math operation called subtraction helps children understand the idea of eliminating or subtracting items from a group. It is calculating the remaining number after deducting some from the total. Let's say you have five apples.
After eating two, you have three remaining. The subject is typically explained using basic objects or graphics to make subtraction easy to understand. Children learn to subtract larger amounts and utilise symbols like the equal sign (=) and minus sign (-) to answer arithmetic problems as they get more comfortable with subtraction.
What Is Subtraction?
The operation of subtraction is performed to determine the difference between two numbers. A collection of objects gets smaller when some of the objects are removed from it. For example, you bought 9 cupcakes for your birthday party and your pals ate 7 cupcakes. Now you are left with 2 cupcakes.
As a subtraction expression, this can be expressed as follows: 9 - 7 = 2, which can be read as "nine minus seven equals two". Subtracting 7 from 9 (9 - 7) yields 2. Here, we subtracted the integers 9 and 7 in order to find the difference of 2.
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Subtraction Symbol
In mathematics, there are various symbols. One of the key mathematical symbols we use while doing subtraction is the subtraction sign. We read about subtracting the numbers 9 and 7 in the section above. The sign (-) joins the two integers and completes the expression if we notice this subtraction: (9 - 7 = 2). This symbol is also known as the minus sign.
Subtraction Formula
Several terms found in the subtraction expression are employed when subtracting two numbers:
The number that is deducted from the other number is called the minuend.
The subtrahend is the amount that needs to be deducted from the minuend.
Difference: The outcome obtained by deducting the minuend from the subtrahend.
The subtraction formula is written as:
Minuend - Subtrahend = Difference
How To Solve Subtraction Problems?
While solving subtraction issues, one-digit numbers can be subtracted in a simple style, but for larger numbers, we separate the numbers into columns using their respective place values, like Ones, Tens, Hundreds, Thousands, and so on. While resolving these issues, there may be instances where borrowing is necessary and instances where it is not. Another name for subtraction with regrouping is subtraction with borrowing.
We apply the regrouping procedure when the minuend is less than the subtrahend. In order to make the minuend greater than the subtrahend, we regroup and take one number from the previous column. Let's use a few instances to better grasp this.
Subtraction Without Regrouping
Example: Subtract 25632 from 48756.
Note: In subtraction, we always subtract the smaller number from the larger number to get the correct answer.
Solution:
Try to relate the steps with the following figure by following the instructions.
Step 1:
Begin by placing the digit at one. (6 - 2 = 4)
Step 2:
Proceed to the place of tens. (5 - 3 = 2)
Step 3:
Proceed to deduct the numbers at the hundreds place. (7 - 6 = 1)
Step 4:
Now subtract the digits at thousands place. (8 - 5 = 3)
Step 5:
Subtract the numbers at the ten thousand place last. (2 - 4) =
Step 6:
As a result, 48756 - 25632 = 23124 is the difference between the two provided figures.
Subtraction With Regrouping
Example: Subtract 3678 from 8162.
Solution:
Try to relate the steps with the following figure by following the instructions.
We must resolve: 8162 - 3678
Step 1:
Begin deducting the numbers starting at one. It is evident that 8 is larger than 2. Therefore, we shall increase it to 12 by borrowing 1 from the tens column. 12 - 8 = 4 ones now.
Step 2:
Six turns into five when the ones column receives 1 in the preceding step. Let's now subtract the tens place digits (5 - 7). Since 7 is more than 5 in this case, we will take 1 from the hundreds column. That will bring it to fifteen. So,15 - 7 equals 8 tens.
Step 3:
Because we put 1 in the tens column in step 2, we have 0 at the hundreds place. We shall take one from the thousands column in order to remove the numbers on the hundreds spot, or (0 - 6). With this, it will reach 10. 10 - 6 = 4 hundreds, then.
Step 4:
Let's take a look at the numbers at the thousands place now. We have 7 after adding 1 to the hundreds column. Thus, 7 - 3 = 4.
Step 5:
As a result, the two provided numbers differ by: 8162 - 3678 = 4484
Subtraction Using Number Line
Since it allows us to go back and forth on each number, a number line is a visual tool that aids in our understanding of subtraction. Let's investigate subtraction utilising a number line in order to comprehend how this functions. Let us use a number line to subtract 4 from 9.
First, we will write the number nine on the number line. A number line is used to count by sliding one number at a time to the left in the subtracting process. Taking 4 away from 9 means that we have to move 4 times to the left. The answer is the number you land on after four backward hops. 9 - 4 = 5 as a result.
Real Life Subtraction Word Problems
We frequently utilise the idea of subtraction in our daily lives. Let's look at an engaging example to assist us grasp how to answer subtraction word problems in real life.
Example: A soccer match had a total of 4535 spectators. After the first innings, 2332 spectators left the stadium. Find the number of remaining spectators.
Solution:
Given:
4535 attendees watched the first inning in its entirety; 2332 fans left the stadium when it was completed.
The minuend in this instance is 4535, and the subtrahend is 2332.
Th H T O
4 5 3 5
-2 3 3 2
2 2 0 3
Therefore, the number of remaining spectators = 2203.
Important Notes on Subtraction
Here are some key points to remember when you're doing subtraction in your daily life.
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It is possible to convert every subtraction problem into an addition problem and vice versa.
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Any number can be divided by 0 to find the difference, which is the original number.
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Any number can be subtracted from 1 and the result is equivalent to the number's predecessor.
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It is necessary to subtract one number from another, as indicated by terms like "minus," "less," "difference," "decrease," "take away," and "deduct."
