The subtraction Table is similar to the multiplication table, but instead of multiples, It lists successive subtractions of any number. In other words, a subtraction table is a structured arrangement of numbers organized to facilitate the process of subtraction.
In this article, we discuss the subtraction table, what is it, why it is used, and how to create a subtraction table.
Table of Content
What is Subtraction?
Subtraction is one of the fundamental arithmetic operations that involves finding the difference between two numbers. It is the process of taking one number away from another to determine how much remains or how much has been taken.
In subtraction, the number from which another number is subtracted is called the minuend, and the number being subtracted is called the subtrahend. The result of the subtraction is called the difference.
For example, in the expression 5 − 3, 5 is the minuend, 3 is the subtrahend, and 2 is the difference because subtracting 3 from 5 leaves 2.
Also Read: Subtraction
What is a Subtraction Table?
Subtraction Table in Math is the systematic arrangement of numbers that are written in the topmost row and topmost column. This arrangement of numbers helps us to find the difference between any two numbers by observation, not by traditional calculation.
A typical subtraction table consists of rows and columns, with each cell representing the difference between the numbers corresponding to the row and column headings. The top row and leftmost column usually display the numbers being subtracted (subtrahends), while the interior cells contain the resulting differences.
For example, consider a subtraction table for numbers from 1 to 10:
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Subtraction Table from 1 to 10 |
|||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| – | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 0 | 0 | -1 | -2 | -3 | -4 | -5 | -6 | -7 | -8 | -9 | -10 |
| 1 | 1 | 0 | -1 | -2 | -3 | -4 | -5 | -6 | -7 | -8 | -9 |
| 2 | 2 | 1 | 0 | -1 | -2 | -3 | -4 | -5 | -6 | -7 | -8 |
| 3 | 3 | 2 | 1 | 0 | -1 | -2 | -3 | -4 | -5 | -6 | -7 |
| 4 | 4 | 3 | 2 | 1 | 0 | -1 | -2 | -3 | -4 | -5 | -6 |
| 5 | 5 | 4 | 3 | 2 | 1 | 0 | -1 | -2 | -3 | -4 | -5 |
| 6 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | -1 | -2 | -3 | -4 |
| 7 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | -1 | -2 | -3 |
| 8 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | -1 | -2 |
| 9 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | -1 |
| 10 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
Subtraction Table Chart
Chart for Subtraction Table is given as follows:
How to Read a Subtraction Table?
Here, we will discuss how to read subtraction table chart by an example.
Let consider subtraction between 8 and 5 i.e., 8 – 5 .
To read subtraction table for 8 – 5, we can use the following steps:
Step 1: Identify the row with number 5 as its header.
Step 2: Identify the column with number 8 as its header.
Subtraction Table : ( Subtraction Chart 1 – 12 )
– 0 1 2 3 4 5 6 7 8 9 10 11 12 0 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 1 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 2 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 3 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 4 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 5 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 6 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 7 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 8 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 9 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 10 10 9 8 7 6 5 4 3 2 1 0 -1 -2 Step 3: Intersection of both rows results in the required difference.
Thus, the result of the given expression is 3.
How to Create a Subtraction Table
Let us create a subtraction table for 1 to 10.
Step 1 : On the top left corner, the minus sign ( – ) represents the operation.
Step 2 : The top most row contains the first numbers from 12 to 1 which represent the minuend. ( we can also write the numbers from 1 to 12 ).
Step 3 : The left most column or the first column contains the numbers from 1 to 12 which represent the second number or subtrahend.
Step 4 : Now, we can fill the empty cells based on the row and column. As we already identified the minuend and subtrahend, so it is easy to fill the cells.
Let’s consider the steps for number 1.
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Subtraction Facts of 1 |
|---|
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1 – 1 = 0 |
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2 – 1 = 1 |
|
3 – 1 = 2 |
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4 – 1 = 3 |
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5 – 1 = 4 |
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6 – 1 = 5 |
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7 – 1 = 6 |
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8 – 1 = 7 |
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9 – 1 = 8 |
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10 – 1 = 9 |
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11 – 1 = 10 |
|
12 – 1 = 11 |
Similarly, you can write subtraction table of any numbers by following the above subtraction table.
Subtraction Table from 1 to 6
Using the Subtraction table, we will write the individual subtraction facts of 1 – 6.
Subtraction Table of 1 |
Subtraction Table for 2 |
Subtraction Table for 3 |
Subtraction Table for 4 |
Subtraction Table for 5 |
Subtraction Table for 6 |
|---|---|---|---|---|---|
|
1 – 1 = 0 |
1 – 2 = – 1 |
1 – 3 = – 2 |
1 – 4 = – 3 |
1 – 5 = – 4 |
1 – 6 = – 5 |
|
2 – 1 = 1 |
2 – 2 = 0 |
2 – 3 = – 1 |
2 – 4 = – 2 |
2 – 5 =- 3 |
2 – 6 = – 4 |
|
3 – 1 = 2 |
3 – 2 = 1 |
3 – 3 = 0 |
3 – 4 = – 1 |
3 – 5 = – 2 |
3 – 6 = – 3 |
|
4 – 1 = 3 |
4 – 2 = 2 |
4 – 3 = 1 |
4 – 4 = 0 |
4 – 5 = -1 |
4 – 6 = – 2 |
|
5 – 1 = 4 |
5 – 2 = 3 |
5 – 3 = 2 |
5 – 4 = 1 |
5 – 5 = 0 |
5 – 6 = – 1 |
|
6 – 1 = 5 |
6 – 2 = 4 |
6 – 3 = 3 |
6 – 4 = 2 |
6 – 5 = 1 |
6 – 6 = 0 |
|
7 – 1 = 6 |
7 – 2 = 5 |
7 – 3 = 4 |
7 – 4 = 3 |
7 – 5 = 2 |
7 – 6 = 1 |
|
8 – 1 = 7 |
8 – 2 = 6 |
8 – 3 = 5 |
8 – 4 = 4 |
8 – 5 = 3 |
8 – 6 = 2 |
|
9 – 1 = 8 |
9 – 2 = 7 |
9 – 3 = 6 |
9 – 4 = 5 |
9 – 5 = 4 |
9 – 6 = 3 |
|
10 – 1 = 9 |
10 – 2 = 8 |
10 – 3 = 7 |
10 – 4 = 6 |
10 – 5 = 5 |
10 – 6 = 4 |
|
11- 1 = 10 |
11 – 2 = 9 |
11 – 3 = 8 |
11 – 4 = 7 |
11 – 5 = 6 |
11 – 6 = 5 |
|
12 – 1 = 11 |
12 – 2 = 10 |
12 – 3 = 9 |
12 – 4 = 8 |
12 – 5 = 7 |
12 – 6 = 6 |
Subtraction Table from 7 to 12
Subtraction table for number 7 to 12, is given as below:
Subtraction Table of 7 |
Subtraction Table of 8 |
Subtraction Table of 9 |
Subtraction Table of 10 |
Subtraction Table of 11 |
Subtraction Table of 12 |
|---|---|---|---|---|---|
| 1 – 7 = – 6 | 1 – 8 = – 7 | 1 – 9 = – 8 | 1 – 10 = – 9 | 1 – 11 = – 10 | 1 – 12 = – 11 |
| 2 – 7 = – 5 | 2 – 8 = – 6 | 2 – 9 = – 7 | 2 – 10 = – 8 | 2 – 11 = – 9 | 2 – 12 = – 10 |
| 3 – 7 = – 4 | 3 – 8 = – 5 | 3 – 9 = – 6 | 3 – 10 = – 7 | 3 – 11 = – 8 | 3 – 12 = – 9 |
| 4 – 7 = – 3 | 4 – 8 = – 4 | 4 – 9 = – 5 | 4 – 10 = – 6 | 4 – 11 = – 7 | 4 – 12 = – 8 |
| 5 – 7 = – 2 | 5 – 8 = – 3 | 5 – 9 = – 4 | 5 – 10 = – 5 | 5 – 11 = – 6 | 5 – 12 = – 7 |
| 6 – 7 = – 1 | 6 – 8 = – 2 | 6 – 9 = – 3 | 6 – 10 = – 4 | 6 – 11 = – 5 | 6 – 12 = – 6 |
| 7 – 7 = 0 | 7 – 8 = – 1 | 7 – 9 = – 2 | 7 – 10 = – 3 | 7 – 11 = – 4 | 7 – 12 = – 5 |
| 8 – 7 = 1 | 8 – 8 = 0 | 8 – 9 = – 1 | 8 – 10 = – 2 | 8 – 11 = – 3 | 8 – 12 = – 4 |
| 9 – 7 = 2 | 9 – 8 = 1 | 9 – 9 = 0 | 9 – 10 = – 1 | 9 – 11 = – 2 | 9 – 12 = – 3 |
| 10 – 7 = 3 | 10 – 8 = 2 | 10 – 9 = 1 | 10 – 10 = 0 | 10 – 11 = – 1 | 10 – 12 = – 2 |
| 11 – 7 = 4 | 11 – 8 = 3 | 11 – 9 = 2 | 11 – 10 = 1 | 11 – 11 = 0 | 11 – 12 = – 1 |
| 12 – 7 = 5 | 12 – 8 = 4 | 12 – 9 = 3 | 12 – 10 = 2 | 12 – 11 = 1 | 12 – 12 = 0 |
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Subtraction Table – Worksheet
You can download worksheet for Subtraction from here.
Download Subtraction Worksheet |
Practice Problems on Subtraction Table
Problem: Use the subtraction table to find the result of 8−38−3.
Problem: Observe the pattern of results in the 3rd row of the subtraction table (where the subtrahend is 3) from 1 to 12 and describe it.
Problem: Using the subtraction table, compare the results of 10−410−4 and 4−104−10, and explain the difference.
Conclusion – Subtraction Table
Through this article, we acquired enough knowledge about the Subtraction Table, how to create a subtraction table, how to read subtraction table chart and many more interesting facts. Now to understand better, we will solve some examples. This practical exercise will provide us better result to understand the topic.
FAQs on Subtraction Table
Define Subtraction.
Subtraction is an essential arithmetic operation that involves finding the difference between two numbers or quantities by deducting one from the other.
What do you mean by minuend?
Minuend is defined as the number from which the another number is to be subtracted.
What do you mean by subtrahend?
Subtrahend is defined as the number which is to be subtracted.
What is a Subtraction Table?
A subtraction table is a structured grid or chart that displays the results of subtracting one number from another within a specified range.