CLASS-1
ADDITION TABLE
ADDITION TABLE
An addition table, also known as an addition chart or addition grid, is a tabular representation of addition facts or sums. It is commonly used as a visual aid to help learn and practice addition operations. The table organizes numbers in rows and columns, with each cell containing the sum of the numbers intersecting at that particular row and column.
Let's take an example of a simple addition table:
+---+---+---+---+---+
| | 1 | 2 | 3 | 4 |
+---+---+---+---+---
| 1 | 2 | 3 | 4 | 5 |
+---+---+---+---+---+
| 2 | 3 | 4 | 5 | 6 |
+---+---+---+---+---+
| 3 | 4 | 5 | 6 | 7 |
+---+---+---+---+---+
| 4 | 5 | 6 | 7 | 8 |
+---+---+----+---+---+
In this example, the numbers 1, 2, 3, and 4 are used for both the rows and columns. The cell at the intersection of row 2 and column 3 contains the sum of 2 and 3, which is 5. Each cell in the table represents the sum of the numbers in the corresponding row and column.
Addition tables can be expanded to include larger numbers or a wider range of values. They can be helpful for students learning basic addition facts, as they provide a visual representation and make it easier to understand the relationships between numbers and their sums. By practicing with addition tables, students can memorize addition facts more easily and develop mental arithmetic skills.
Additionally, addition tables can also be used to explore patterns and properties of addition. For example, you can observe that adding a number to zero always results in the original number, or that adding two numbers in any order yields the same sum (commutative property).
An addition table, also known as an addition chart or addition grid, is a visual representation that shows the sums of two numbers across different combinations. It provides a systematic way to understand and compute addition operations.
The addition table typically consists of a grid with numbers listed along the top and left sides. Each cell in the table contains the sum of the numbers corresponding to the row and column headers.
Here's an example of a simplified addition table:
+---+---+---+---+---+
| | 1 | 2 | 3 | 4 |
+---+---+---+---+---+
| 1 | 2 | 3 | 4 | 5 |
+---+---+---+---+---+
| 2 | 3 | 4 | 5 | 6 |
+---+---+---+---+---+
| 3 | 4 | 5 | 6 | 7 |
+---+---+---+---+---+
| 4 | 5 | 6 | 7 | 8 |
+---+---+---+---+---+
In this example, the numbers from 1 to 4 are listed along the top and left sides of the grid. To find the sum of two numbers, you locate the cell where the row and column intersect. For instance, to find the sum of 2 + 3, you locate the cell where the row with 2 intersects the column with 3, and the value in that cell is 5.
The addition table provides a convenient way to quickly find the sum of any two numbers within a given range. It helps users develop number sense, recognize number patterns, and improve mental math skills. It is particularly useful for children learning addition and for anyone who wants to practice and reinforce their addition skills.
There is another way of understanding about addition of table -
Above table is called number table. In this table row wise (left to right) and column wise (up to down), zero '0' to 10 has been written and now we will take one number from top of left end head column which is zero '0' here and now we will start addition with the number obtained from head row which is started with zero '0' and end at 10 and we will find the result of summation and will put in the first row such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 respectively.
In next step, we will consider second number from the left end head column which is 1 with the same number of head row which has started from 0 and end to 10 and we have found the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 respectively and all these obtained number will be placed at the second row of the addition table.
In next step, we will consider third number from the left end head column which is 2 with the same number of head row which has started from 0 and end to 10 and we have found the numbers 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 respectively and all these obtained number will be placed at the third row of the addition table.
In next step, we will consider fourth number from the left end head column which is 3 with the same number of head row which has started from 0 and end to 10 and we have found the numbers 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 respectively and all these obtained number will be placed at the fourth row of the addition table.
In next step, we will consider fifth number from the left end head column which is 4 with the same number of head row which has started from 0 and end to 10 and we have found the numbers 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 respectively and all these obtained number will be placed at the fifth row of the addition table.
In next step, we will consider sixth number from the left end head column which is 5 with the same number of head row which has started from 0 and end to 10 and we have found the numbers 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 respectively and all these obtained number will be placed at the sixth row of the addition table.
In next step, we will consider seventh number from the left end head column which is 6 with the same number of head row which has started from 0 and end to 10 and we have found the numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 respectively and all these obtained number will be placed at the seventh row of the addition table.
In next step, we will consider eighth number from the left end head column which is 7 with the same number of head row which has started from 0 and end to 10 and we have found the numbers 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 respectively and all these obtained number will be placed at the eighth row of the addition table.
In next step, we will consider nineth number from the left end head column which is 8 with the same number of head row which has started from 0 and end to 10 and we have found the numbers 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 respectively and all these obtained number will be placed at the nineth row of the addition table.
this above process may continue till endless or infinite number and we can find addition table and in future using this addition table we can find any addition result within a fraction of time.