Accessible Algorithms For Multiplication - Multiplication Worksheet 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 the most common method, and it 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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