Fill in the blanks in this multiplication table.
Now looking at this multiplication table, the arrow shows us that we’re supposed to read it from left to right. And we’ve got two separate rows to consider. If we look at the first row to begin with, we can see that we start with four, we multiply it by something, and we get an answer of 24. We could write this as the number sentence four multiplied by something equals 24. The second row is a little bit more complicated. It shows us that we start with seven, we multiply it by the same unknown amount as the first multiplication, and we get an answer that we don’t know yet either.
We can record that as the number sentence seven multiplied by something equals something. Now can you see the order with which we need to solve the problem? First of all, we need to use the first row to find the number that we multiply by. And once we know that, we can find the missing number in the second row. So our first question is what do we multiply four by to get 24. Well let’s count in fours to find out: four, eight, 12, 16, 20, and 24. So there are six fours in 24. So we know that our multiplication table is a times six table. All the numbers on the left are multiplied by six to get the numbers on the right.
Now that we know that we need to multiply by six, the second missing number becomes a lot easier to solve. So we know that the number seven is multiplied by six, and the answer will go in that bottom box of the multiplication table. So what are seven sixes? Well maybe you already know that multiplication fact to help, or we could count in sixes seven times. But another way to find the answer is to use what we worked out for the first multiplication to help us with the second. Let’s try that method rather than counting seven lots of sixes, which might take a while.
Now we already know that four sixes are 24. And if we double this amount, it will give us eight sixes. Four sixes are 24, so double that is 48. So eight sixes are 48. Now that we know what eight sixes are, we can take away one lot of six to get the answer to seven sixes. 48 minus one lot of six equals 42. And so the missing number, seven multiplied by six, is 42. And so the blanks in this multiplication table can be filled in with the numbers six and 42.