Welcome to our lesson on creating a 5 by 5 multiplication table. A multiplication table shows the product of multiplying row numbers by column numbers. We'll create a table with numbers from 1 to 5 across the top and down the left side. The first cell contains a multiplication symbol. Each cell in the table will show the result of multiplying the row number by the column number.
Let's start filling in our multiplication table. We'll begin with the first row. In the first row, we multiply 1 by each column number. For the first cell, we have 1 times 1, which equals 1. For the second cell, 1 times 2 equals 2. Then 1 times 3 equals 3, 1 times 4 equals 4, and finally, 1 times 5 equals 5. Notice that the first row simply shows the numbers 1 through 5, since multiplying by 1 gives the number itself.
Now let's continue with the second row. In this row, we multiply 2 by each column number. For the first cell, we have 2 times 1, which equals 2. For the second cell, 2 times 2 equals 4. Then 2 times 3 equals 6, 2 times 4 equals 8, and 2 times 5 equals 10. Notice that each number in this row is twice the corresponding number in the first row, since we're multiplying by 2.
Now let's complete the rest of the table. For the third row, we multiply 3 by each column number, giving us 3, 6, 9, 12, and 15. For the fourth row, we multiply 4 by each column number, giving us 4, 8, 12, 16, and 20. And finally, for the fifth row, we multiply 5 by each column number, giving us 5, 10, 15, 20, and 25. Notice that each cell in the table shows the product of its row number and column number.
To summarize what we've learned about the 5 by 5 multiplication table: It shows the products of numbers 1 through 5. Each cell contains the product of its row number and column number. The first row and column serve as headers or multipliers. Interesting patterns emerge in the table, such as the diagonal values increasing as perfect squares: 1, 4, 9, 16, and 25. Also, the table is symmetric across this diagonal because multiplication is commutative - for example, 2 times 3 equals 3 times 2.