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# Multiply Area Models micro-lesson

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If you want to multiply with 2- or 3-digit numbers, you should use area models. For example, 14 x 6. First thing you want to do is to draw 2 boxes, 1, 2. We're going to put our 6 over here and break up our 14 up here into 10 + 4. Now, all we have to do is multiply inside each box. 6 x 10 is 60 and 6 x 4 is 24. Our final step is to add up those partial products, so we have 60 + 24 for our final product of 84. If you're multiplying by 3 digits, you're going to need 3 boxes. We put our factor 6 over here and we break up 231 into 200 + 30 + 1. 6 x 200 is 1,200, 6 x 30 is 180, and 6 x 1 is 6. We add up each of our partial products and we get 1,386. Area models are a great way to solve multiplication problems with larger numbers using mental math. Kids earn more screen time by answering fun educational questions.

1) 2
2) 2
3) 4
4) 1

1) 3
2) 2
3) 1
4) 4

1) 2
2) 3
3) 4
4) 5

1) 4
2) 3
3) 2
4) 5

1) 4
2) 3
3) 2
4) 5

1) 39
2) 13
3) 30
4) 9

1) 900
2) 90
3) 9000
4) 9

1) 900
2) 90
3) 9
4) 9000

1) 408
2) 340
3) 272
4) 204

1) 3540
2) 358
3) 390
4) 4350

1) 1386
2) 1376
3) 1396
4) 1366

1) 1536
2) 1530
3) 1436
4) 1526

1) 2889
2) 2789
3) 2886
4) 2880

1) 3360
2) 3370
3) 3380
4) 3390

1) 14382
2) 13382
3) 14282
4) 14383

1) 35838
2) 35829
3) 39820
4) 39811
• #### What is another way to show 231?

1) 200 + 30 + 1
2) 2 + 3 + 1
3) 23 + 1
4) 2 + 31
• #### What is another way to show 23 x 5?

1) (20 + 3) x 5
2) 23 x 50
3) (20 x 3) + 5
4) 23 + 5
• #### How would you break apart 768 for your area model?

1) 700 + 60 + 8
2) 70 + 60 + 80
3) 76 + 8
4) 700 + 68

1) 700 + 8
2) 70 + 8
3) 700 + 80
4) 7 + 0 + 8
• #### What is the final step to solve 26 x 6, using this area model?

3) Subtract 120 - 36
4) Multiply 120 x 36
• #### When checking your area models, you should be sure you______.

1) Did all of the above.
2) Multiplied correctly.
4) Broke apart your factors correctly.
• #### What is the final step in the area model strategy?

2) Multiply the partial products.
3) Subtract the partial products.
4) Divide the partial products.
• #### What do each of the numbers inside the boxes represent?

1) Partial Products
2) Partial Quotients
3) Partial Sums
4) Partial Differences
• #### You should always line up your place values when adding partial products.

1) TRUE
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