Multi-Digit Multiplication Strategies

Exploring Multiplication Strategies

Today I will identify and practice strategies for multiplication of large numbers. 

So that I can solve large problems without a calculator. 

I’ll know I have it when I can complete a Quizizz Checkin with 80% accuracy.

Word Cloud

What is multiplication?

Utilizes place value and area models to solve multiplication problems

​​Box Method

Decomposes multiplication problems into more manageable problems.

​​Partial Product

Decomposes multiplication problems into more manageable problems.

Distributive

Traditional algorithm for solving multiplication problems.

​​Standard Method

1. Draw and label a box to represent your problem (use number of digits)

2. Multiply each section

3. Add together each section

​

Box Method

​23 x 6 = __________

Labelling

Label each part of the multiplication box to solve the problem: 83 x 4

Drag labels to their correct position on the image

7

320

4

32

83

32 + 12 = 44

3

320 + 12 = 332

12

80

Draw

Draw and solve using the Box Method for the following problem:

83 x 4

1. Draw and label a box to represent your problem (use number of digits)

2. Multiply each section

3. Add together each section

​

Box Method

​15 x 22 = __________

Labelling

Label each part of the multiplication box to help solve the problem: 14 x 22

Drag labels to their correct position on the image

20

22

200

80

10

8

14

4

20

2

Draw

Draw and solve using the Box Method for the following problem:

14 x 22

1. Draw and label a box to represent your problem (use number of digits)

2. Multiply each section

3. Add together each section

​

Box Method

​294 x 3 = __________

Labelling

Label each part of the multiplication box to help solve the problem: 324 x 7

Drag labels to their correct position on the image

32

300

14

28

210

140

7

4

20

2,100

Draw

Draw and solve using the Box Method for the following problem:

324 x 7

Stand up behind your seat

Cross one foot over the other

Cross one arm over the other and twist up

​

Brain Break

Partial Products

1. Identify place value pieces

2. Multiply each number using their place value

3. Add together the products

​45
x 89
45 (9x5)
360 (9x40)
400 (80x5)
+ 3,200 (80x40)
4,005

Partial Products

1. Identify place value pieces

2. Multiply each number using their place value

3. Add together the products

93 x 64

Draw

Draw and solve the following problem using the partial product strategy:

62 x 47

62 x 15
(60 + 2) x (10 + 5)
(60 x 10) + (60 x 5) + (2 x 10) + (2 x 5)
600 + 300 + 20 + 10
930

1. Break up each number into expanded form

2. Distribute multiplication - multiply each number by each piece

3. Add together products

Distributive

56 x 32

1. Break up each number into expanded form

2. Distribute multiplication - multiply each number by each piece

3. Add together products

Distributive

Draw

Draw and solve the following problem using the standard strategy:

94 x 16

+1
+1
18
x 24
72
+360
432

1. Line up multiplication problem vertically

2. Multiply top numbers by bottom number's ones place

3. Add a 0 placeholder!

4. Multiply top numbers by bottom number's ten's place

5. Add together products

   ** May require regrouping!

Standard

38 x 12

1. Line up multiplication problem vertically

2. Multiply top numbers by bottom number's ones place

3. Add a 0 placeholder!

4. Multiply top numbers by bottom number's ten's place

5. Add together products

   ** May require regrouping!

Standard

Draw

Draw and solve the following problem using the distributive strategy:

83 x 14

Poll

Which method makes the most sense to you?

• Standard

• Box Method

• Partial Product

• Distributive

Match

Solve and match each of the following problems to their correct product.

• 312 x 4

• 75 x 18

• 31 x 64

• 81 x 6

• 45 x 9

1,248

1,350

1,984

486

405

• 1,248

• 1,350

• 1,984

• 486

• 405