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Multi-Digit Multiplication Strategies

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Multi-Digit Multiplication Strategies

Use place value to break apart factors, choose a strategy, and show your calculations. For multiple-choice questions, select the best answer.

Choose and Understand a Strategy

1.Elijah needs to calculate 24 × 38. Which statement about choosing a multiplication strategy is most accurate?

An area model, partial products, or the standard algorithm can all find the product.
Only an area model works for two-digit factors.
Partial products cannot be used when both factors have two digits.
The standard algorithm always gives a different product from other strategies.

2.For 163 × 42, which set lists all the partial products when both factors are split by place value?

100 × 40, 100 × 2, 60 × 40, 60 × 2, 3 × 40, 3 × 2
163 × 40 and 163 × 2 only
100 × 42, 60 × 42, 3 × 42, 163 × 2
100 × 40, 60 × 2, 3 × 42

3.A 2-by-2 area model represents 46 × 53. Which four products belong in its sections?

40 × 50, 40 × 3, 6 × 50, 6 × 3
46 × 50, 46 × 3, 40 × 53, 6 × 53
4 × 5, 4 × 3, 6 × 5, 6 × 3
40 × 53 and 6 × 53

Calculate and Apply

4.Use the area model below to calculate 32 × 47. Find each section's product, then add them.

5.Find 136 × 24 using partial products. Show the products made by splitting 136 into hundreds, tens, and ones, and 24 into tens and ones.

6.Hannah's coding club packs 128 programmable buttons into each kit. How many buttons are needed for 26 kits? Write a multiplication equation and find the total.

7.Complete the statement: Splitting 52 into 50 and 2 makes 37 × 52 equal to (37 × 50) + (37 × 2). What is the product?

Challenge

8.A coding club orders 216 microcontrollers for each of 15 workshop groups. Each microcontroller costs $8. If every unit is purchased, what is the total cost? First find the number of microcontrollers, then multiply by the cost per unit.

9.Nia calculates 28 × 34 by breaking 28 into 20 + 8 and 34 into 30 + 4. Write the four partial products and their sum. Then state one way an area model and partial products are alike.