Video: Completing the Multiplication Table

Complete the table.


Video Transcript

Complete the following table.

To complete the table, we can see we’ve only got one box that we need to fill. So we just need to think about what number it is we need to complete it with. First of all, let’s look at the table. What can we tell about this table? What does it show us? Well, if we don’t count the first one because that’s where all the rows are labeled, we have four different columns. And they’re each labeled with a different number. Three, four, five, and six. Then again, if we ignore the first row because that’s where the column headings are, we have four different rows. And these seem to have the same headings as the columns, three, four, five, and six.

Now, if we look at where different rows and columns meet, we can see that this is a multiplication grid. If we read across the row labeled three and down the row labeled four. We reach the product of three and four. Three times four is 12. Just a check that we are correct about it being a multiplication grid. Let’s try another row and column. Five multiplied by three equals 15. So now that we know what sort of a table this is. Let’s look at where the empty spaces.

The row that the space is in is labeled five. And the column that the empty space is in is also labeled five. So our missing number must be worth five times five. What is five times five? Let’s count in fives five times. Five, 10, 15, 20, 25. We can see that this array that we’ve made is a square. It has the same amount of rows and columns, five rows, five columns. Five times five is 25. And so we know our missing number is worth 25. We worked out that the table was actually a multiplication grid. So we needed to calculate the answer to five times five to find the missing number. Five times five equals 25.

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