1. Multiplication
A New Strategy

2. Find the product: 46 x 32
Write the 2 numbers in
expanded form
46 -> 40 + 6
32 -> 30 + 2

3. 46 x 32
40 + 6 30 + 2
Plug the
expanded form
of each
number in the
blue boxes.

4. Find the product: 46 x 32
Multiply 30 and 40. 40 6
Multiply 30 and 6.
30 1200 180
2 80 12
Multiply 2 and 40.
Multiply 2 and 6.

5. Find the product: 46 x 32
Add the numbers in
the red rectangle.
40 6
30 1200 180 1380
2 80 12 92
Add the numbers in
the yellow rectangle.

6. Find the product: 46 x 32
Add the numbers in
the green rectangle.
40 6
30 1200 180 1380
2 80 12 92
Add the numbers in
the purple rectangle. 1280 192

7. Find the product: 46 x 32
40 6
Add the numbers in
the black rectangles.
30 1200 180 1380
If the numbers
match up, you have 2 80 12 92
found the
PRODUCT!!!
1280 192 1472 √
1380 + 92 = 1472 AND 1280 + 192 = 1472

8. Let’s see that again!!!
Try this problem:
75 x 14

9. Find the product: 75 x 14
Write the 2 numbers in
expanded form
75 -> 70 + 5
14 -> 10 + 4

10. 75 x 14
70 + 5 10 + 4
Plug the
expanded form
of each
number in the
blue boxes.

11. Find the product: 75 x 14
Multiply 70 and 10. 70 5
Multiply 10 and 5.
10 700 50
4 280 20
Multiply 4 and 70.
Multiply 4 and 5.

12. Find the product: 75 x 14
Add the numbers in
the red rectangle.
70 5
10 700 50 750
4 280 20 300
Add the numbers in
the yellow rectangle.

13. Find the product: 75 x 14
Add the numbers in
the green rectangle.
70 5
10 700 50 750
4 280 20 300
Add the numbers in
the purple rectangle. 980 70

14. Find the product: 75 x 14
70 5
Add the numbers in
the black rectangles.
10 700 50 750
If the numbers
match up, you have 4 280 20 300
found the
PRODUCT!!!
980 70 1050 √
750 + 300 = 1050 AND 980 + 70 = 1050