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Multiplying Up To 4 Digits (Area Model)
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What you will learn from this videoWhat you will learn
- How to multiply 4-digit numbers by a one-digit number!
- How to multiply two-digits by two-digit numbers!
- And, we'll see that multiplying larger numbers can help us pack for camping, study fascinating new animals, and keep track of our favorite collections.
- Discussion Questions
Before Video
What does 7 × 8 mean? ANSWER7 × 8 means 7 groups of 8, or 8 + 8 + 8 + 8 + 8 + 8 + 8.
(5 + 2) × 8 = 40 + 16 = 56
I could draw a rectangle with 7 rows and 8 columns. There are 56 squares. The product is 56.
A rectangle with width 7 units and length 8 units has an area of 56 square units.
There are 6 groups of 5 tens, which is 30 tens. 30 tens is 300. 6 × 50 = 300.
After Video
How could you multiply 9 × 35 using an area model? ANSWERI could draw a rectangle and divide it into two sections. At the top I write 30 and 5. At the left side I write 9. Then I multiply 9 × 30, which is 270, and multiply 9 × 5, which is 45. Then I add the partial products: 270 + 45 = 315. 9 × 35 = 315.
The number 35 is 3 tens and 5 ones. The left box is tens, so I write 30, and the right box is ones, so I write 5.
I would need 2 more boxes, one for the hundreds place and one for the thousands place. Then I would label them 4,000 and 700. Then I can multiply 9 × 4,000, which is 36,000, and 9 × 700, which is 6,300. Then I add all four partial products: 36,000 + 6,300 + 270 + 45 = 42,615. 9 × 4,735 = 42,615.
I could draw a rectangle and divide it into four sections. At the top I would write 80 and 1 above the two sections. At the top left side I would write 20 and the bottom left side I would write 6. Then I multiply in each section: 20 × 80 = 1,600, 20 × 1= 20, 6 × 80 = 480, and 6 × 1 = 6. Then add the parts: 1,600 + 20 + 480 + 6 = 2,106. So 26 × 81 = 2,106.
No. She multiplied 50 × 30 = 1,500 and 7 × 4 = 28. She left out two more partial products: 50 × 4 = 200 and 7 × 30 = 210. The product is 1,938.
- Vocabulary
- Multiply DEFINE
Add equal groups.
- Digit DEFINE
One of the symbols from 0 to 9.
- Repeated Addition DEFINE
Adding equal groups together.
- Area DEFINE
The number of square units needed to cover a surface.
- Area Model DEFINE
A diagram in which the length and width of a rectangle represents factors and the area represents the product.
- Rectangle DEFINE
A plane figure with 4 straight sides and 4 right angles.
- Place Value DEFINE
The value of a digit determined by its place in the numeral.
- Friendly Number DEFINE
An adjusted number that makes an operation easier to complete.
- Vertical DEFINE
Up and down.
- Corresponding DEFINE
Equivalent.
- Partial Products DEFINE
The product of a multiplicand and one digit of its multidigit multiplier.
- Product DEFINE
The answer to a multiplication problem.
- Horizontal DEFINE
Left to right.
- Multiply DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide
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Level 1
Use an area model to find the product 7 × 53.
Level 2
Use an area model to find the product 8 × 692.
Level 3
Eric found that the product of 28 × 64 is 1,232. Explain his error and find the correct product.
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