Video: Multiplying Two-Digit Numbers by One-Digit Numbers Using Partial Products

Look at how Chloe figured out 26 × 3 using partial products. Following the same method, find 43 × 5. Following the same method, find 38 × 4.

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Video Transcript

Look at how Chloe figured out 26 times three using partial products. Following the same method, find 43 times five. Then, following the same method, find 38 times four.

We see that Chloe multiplied first six times three to get 18. And then, she multiplied three times 20. This is because she separated 26 into two pieces. One piece that is two tens and another piece that is six ones. Two tens or 20 times three is 60, and 18 plus 60 equals 78. Our first problem is 43 times five. We can take our 43 and break it into two pieces, three ones and four tens. The first thing we then do is multiply the ones together. Five times three equals 15. And five times four tens is 20 tens or 200. To find the final answer here, we add the two partial products. Five plus zero is five. One plus zero is one. And two plus zero is two. 43 times five is 215.

We want to repeat this method one final time. For 38 times four, we need to break 38 into the two pieces for partial product, which would be eight ones and three tens. Our first step is to multiply the ones together. Four times eight equals 32. After that, we multiply the tens together. Four times three tens will be 12 tens or 120. From there, we add the two partial products together. Two plus zero is two. Three plus two is five. One plus zero is one. And then we say 38 times four is 152.

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