Question Video: Multiplying Two-Digit Numbers by One-Digit Numbers by Breaking Apart Tens and Ones Mathematics • 4th Grade

Use the following part-whole model to find 12 × 6.


Video Transcript

Use the following part-whole model to find 12 times six.

How well do you know your six times table? Perhaps you know it all the way up to 10 times six. But do you know how to multiply it by other two-digit numbers? Well, in this question, we need to find the answer to 12 times six. And we’re given a part-whole model that we’re told to use to help us. Well, we can’t see the number six in this part-whole model, but we can see the number 12. Do you think this has got something to do with the number 12 in our multiplication? Well, it does. What it’s showing us is that instead of thinking of the number 12 as one number, we can partition it or split it up because 12 is the same as one ten or 10 and two ones, which have a value of two.

By including this part-whole model, we’re being given a really big hint. We can make the multiplication easier if we think of the tens and the ones separately. Instead of finding the answer to 12 times six, we can multiply the tens by six, then the ones times six, and then use these two answers to help. We know that 10 times six equals 60, and then two lots of six equals 12. Now that we’ve multiplied both parts of our number by six, we need to use these answers to help us find the overall total. We’re gonna have to add our two parts back together again. First, the ones, zero ones plus two ones equals two ones. And then the tens, six tens plus one more 10 equals seven tens. We partition the number 12 into its tens and ones to help us find the answer to 12 times six. 12 multiplied by six equals 72.

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