Lesson
Page
Mathematical
Reasoning 



Knowing
Multiplication
Patterns
can help you find the product.
Remember:
Multiplying is just like 'counting by
groups'
(ex: Multiplying by 3
is like counting
by 3's= 3, 6, 9,
12, etc.)
Examples:
Input
Multiplying Machine
Input
X
= Output
5
x 

25 
4
x 
20 
3
x 
15 
In order to get the answers we
got in the Output,
the Input Machine must be x5
This would be an example
of a
x5 Multiplying Pattern because
5 x
5= 25
(5, 10, 15, 20, 25) count by 5, five times
4
x 5= 20
(5, 10, 15, 20) count by
5, four times
3
x 5=
15 (5, 10, 15)
count by 5, three times
Input Multiplying Machine
Input X
= Output
2
x 

4 
5
x 
10 
8
x 
16 
In order to get the answers we
got in the Output here,
the Input Machine must be x2
This would be an example
of a
x2 Multiplying Pattern because
2 x
2= 4
(2, 4)
count by 2, two times
5
x 2= 10
(2, 4, 6, 8, 10)
count by 2, five times
8
x 2=
16 (2, 4, 6, 8, 10, 12, 14, 16) count by 2, eight
times
Don't
Forget:
Multiplying is just like 'counting by
groups'
(ex: Multiplying by 3
is like counting
by 3's= 3, 6, 9,
12, etc.)
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