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Expanded Algorithm
2 digit x 1 digit
3 digit x 1 digit
4 digit x 1 digit
Check for Reasonableness
100

Find the partial products for:

12 x 4= 

2 x 4 = 8

10 x 4 = 40

Partial Products:

8 + 40 = 48

100

16 x 5 = 

16 x 5 = 80

100

115 x 5 =

115 x 5 = 575

100

1,134 x 3 =

1,134 x 3 = 3,402

100

Estimate:

17 x 4 =

20 x 4 = 80

200

Find the partial products for:

39 x 8 = 

9 x 8 = 72

30 x 8 = 240

Partial Products:

72 + 240 = 312

200

29 x 8 =

29 x 8 =232

200

145 x 4 =

145 x 4 = 580

200

2,415 x 5 =

2,415 x 5 = 12,075

200

Estimate:

34 x 6 =

30 x 6 = 180

300

Find the partial products for:

97 x 6 =

7 x 6 = 42

90 x 6 = 540

Partial Products:

42 + 540 = 584

300

85 x 6 = 

85 x 6 = 510

300

362 x 6 =

362 x 6 = 2,172

300

4,621 x 6 =

4,621 x 6 = 27,726

300

Estimate:

97 x 5 =

100 x 5 = 500

400

Find the partial products for:

254 x 7 =

4 x 7 = 28

50 x 7 = 350

200 x 7 = 1,400

Partial Products:

28 + 350 + 1,400 = 1,778

400

78 x 9 = 

78 x 9 = 702

400

689 x 7 =

689 x 7 = 4,823

400

5,767 x 5 =

5,767 x 5 = 28,835

400

Estimate:

724 x 3 =

700 x 3 = 2,100

500
What are the partial products for:


864 x 8 = 

4 x 8 = 32

60 x 8 = 480

800 x 8 = 6,400

Partial Products:

32 + 480 + 6,400 = 6,910

500

98 x 8 =

98 x 8 = 784

500

978 x 8 =

978 x 8 =7,824

500

8,684 x 9 =

8,684 x 9 = 78,156

500

8,298 x 9 =

8,000 x 9 = 7,200