8 Times Tables Pattern

When I look at the multiplication tables, I see patterns. Let's take a look at the  8 Times Tables.

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8	x	1	=	8
8	x	2	=	16
8	x	3	=	24
8	x	4	=	32
8	x	5	=	40
8	x	6	=	48
8	x	7	=	56
8	x	8	=	64
8	x	9	=	72
8	x	10	=	80
8	x	11	=	88
8	x	12	=	96

First look at the first five facts. Do you see a pattern?

8	x	1	=	08
8	x	2	=	16
8	x	3	=	24
8	x	4	=	32
8	x	5	=	40

If I look at the ten's digit that number is one less than the number multiplied by eight.

• Eight times 1 starts with 0
• Eight times 2 starts with 1
• Eight times 3 starts with 2
• Eight times 4 starts with 3
• Eight times 5 starts with 4

Now look at the next 5 facts. Do you see a pattern?

8	x	6	=	48
8	x	7	=	56
8	x	8	=	64
8	x	9	=	72
8	x	10	=	80

Eight times the number starts with two less than the number

• Eight times 6 starts with 4
• Eight times 7 starts with 5
• Eight times 8 starts with 6
• Eight times 9 starts with 7
• Eight times 10 starts with 8

Now look at the next 5 facts. Do you see a pattern?

 

8 x 11 = 88

8 x 12 = 96

8 x 13 = 104

8 x 14 = 112

8 x 15 = 120

Eight times the number starts with three less than the number

• Eight times 11 starts with 8
• Eight times 12 starts with 9
• Eight times 13 starts with 10
• Eight times 14 starts with 11
• Eight times 15 starts with 12

That might help your students remember the tens digit, but what about the ones digit?
 

Note that within each set of five facts, the ones digit follows a pattern :

8, 6, 4, 2, 0

 

This brings us the question....Does it keep repeating?  I'll let you figure that out yourself. I wouldn't want to spoil the surprise.

 

Deborah