Video: Using Pairs of Arrays to Solve Multiplication Expressions When a Factor Is Doubled

Find the missing numbers. 2 × 3 = _. 2 × 6 = _. 3 × 3 = _. 3 × 6 = _.

02:40

Video Transcript

Find the missing numbers. Two times three equals what, two times six equals what, three times three equals what, and three times six equals what?

The model shows an array of doughnuts. Each column in the array contains three doughnuts. Each row contains six doughnuts. We can use the array to help us multiply. First, we need to calculate two times three, one group of three, two groups of three. Two groups of three, how many doughnuts do we have all together? Three and three more is four, five, six. Two times three equals six.

Next, we need to find two times six. We know that each row in the array contains six doughnuts. So, how many doughnuts are there in two rows of six? We can start counting at six because we know there are six in the first row. Six, seven, eight, nine, 10, 11, 12. Two times six equals 12.

Next, we need to find three times three. How many doughnuts are there in three columns of three? Let’s count in threes to find the answer. Three, six, nine. Three times three equals nine.

Finally, we have to calculate three times six. We already know that two times six is 12. Three times six will be six more. 12, 13, 14, 15, 16, 17, 18. Two times three equals six. Two times six equals 12. Three times three equals nine. Three times six equals 18. We found the missing numbers using the array.

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