explain how each value in the addition table changes when you move up 5 rows and left 3 columns
To understand how each value in the addition table changes when you move up 5 rows and left 3 columns, we need to first visualize the addition table.
An addition table lists all possible sums of two numbers. It is typically arranged in rows and columns, where the numbers being added are shown along the top and left sides respectively.
Let's consider a 10x10 addition table for simplicity. Each cell in the table represents the sum of the corresponding row and column numbers. For example, the number in the cell where the row number is 3 and the column number is 4 would be 3+4 = 7.
To move up 5 rows and left 3 columns, we start at a specific cell and then count 5 rows up and 3 columns left from that starting cell. Let's take an example and explain step by step:
Consider the starting cell at row 8 and column 6. If we move up 5 rows, we will land on row 3 (8 - 5 = 3). Similarly, if we move 3 columns left, we will land on column 3 (6 - 3 = 3).
So, by moving up 5 rows and left 3 columns from the starting cell (8, 6), we end up at the cell (3, 3).
To determine how each value in the addition table changes when moving up 5 rows and left 3 columns, we can compare the value in the starting cell (8, 6) with the value in the resulting cell (3, 3).
Therefore, to find the new value, we subtract the row number from the starting cell (8) by the row number of the resulting cell (3), and subtract the column number from the starting cell (6) by the column number of the resulting cell (3):
New value = Starting cell value - (Starting cell row number - Resulting cell row number) - (Starting cell column number - Resulting cell column number)
So, in this case, to find the new value, we can calculate:
Starting cell value = 8 + 6 = 14
Starting cell row number = 8
Resulting cell row number = 3
Starting cell column number = 6
Resulting cell column number = 3
New value = 14 - (8 - 3) - (6 - 3)
= 14 - 5 - 3
= 6
Therefore, when you move up 5 rows and left 3 columns from the starting cell (8, 6), the value in the resulting cell (3, 3) is 6.
You can apply the same logic and calculation to any other values in the addition table to find their corresponding new values when moving up 5 rows and left 3 columns.