Accessible Algorithms For Multiplication - Multiplication Cheat Sheet Page 2
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1
2Expanded Notation Method
Use with Houghton Mifflin Math, Ch 3, Lesson 7.
Students can use the Expanded Notation Method to multiply from
left-to-right or right-to-left.
67
60
7
43
40
3
40
7
280
40
60
2,400
3
7
21
3
60
180
2,881
Algebraic Notation Method
Use with Houghton Mifflin Math, Ch 3, Lesson 7.
For more-advanced students, the Algebraic Notation Method can
be used in place of the Expanded Notation Method.
(60
7)(40
3)
180
280
2,400
21
2,881
Short-Cut (Common) Method
Use with Houghton Mifflin Math, Ch 3, Lesson 7.
The Short-Cut Method is conceptually difficult to understand when
students are first learning multiplication. Students can progress to
this method from the Expanded Notation Method by collapsing
sums.
Step 1
Step 2
Step 3
Step 4
Step 5
2
2
2
2
2
2
2
6 7
6 7
6 7
6 7
6 7
4 3
4 3
4 3
4 3
4 3
1
2 0 1
2 0 1
2 0 1
2 0 1
0
2 , 6 8 0
2 , 6 8 0
2 , 8 8 1
Level 2
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