How many times have your thought, "Aarrgghhh! Multiplication tables, I just can't learn them."
In reality there are only 9 facts you have to learn. They are 7 *8; 7*9; 7*12; 8*9; 8*12; 11*11; 11*12; 12*12.
How that is possible? Well, read on to find out. There is a color coded multiplication table at the bottom and the colors I refer to match up with the table.
You know that anything times 0 equals 0 - 0*1=0, 0*2=0, etc. (red on chart)
You know that anything times 1 equals that number - 1*1 = 1, 1*2 = 2, etc. (dark blue on chart)
You know that anything times 2 equals double that number - 2*1= 2, 2*2=4, etc. (purple on chart)
If you know that 2 times a number is double that number then you know that 4 times any number is double 2 times that number - 2*2=4 so 4*2=8 or 4 doubled. (brown on chart)
You know that to find 5 times any number you count by 5s - 5, 10, 15, 20, etc. (dark green on chart)
You know that 10 times any number is that number with a zero added to it - 1*10=10 or 1 with a zero, 2*10=20 or 2 with a zero, etc. (light neon green on chart)
You know that to get 3 times any number you count by 3s - 3, 6, 9, 12, etc. (light neon blue on chart)
If you know what 3 times a number is you double that number for 6 times that number - 3*2=6 so 6*2=12 or 6 doubled. (gray on chart)
You know that 11 times a number is double the number (until you get to 11*11 and 11*12) - 11*2=22, 11*3=33, etc. (yellow on chart)
So that leaves the nine facts I listed above that need to be learned. (black on chart)
Also, the commutative property of mathematics gives you the rest of the facts - 2*3=6 so 3*2=6, 4*5=20 so 5*4=20. (pale blue on chart)
X |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
2 |
0 |
2 |
4 |
6 |
8 |
10 |
12 |
14 |
16 |
18 |
20 |
22 |
24 |
3 |
0 |
3 |
6 |
9 |
12 |
15 |
18 |
21 |
24 |
27 |
30 |
33 |
36 |
4 |
0 |
4 |
8 |
12 |
16 |
20 |
24 |
28 |
32 |
36 |
40 |
44 |
48 |
5 |
0 |
5 |
10 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
50 |
55 |
60 |
6 |
0 |
6 |
12 |
18 |
24 |
30 |
36 |
42 |
48 |
54 |
60 |
66 |
72 |
7 |
0 |
7 |
14 |
21 |
28 |
35 |
42 |
49 |
56 |
63 |
70 |
77 |
84 |
8 |
0 |
8 |
16 |
24 |
32 |
40 |
48 |
56 |
64 |
72 |
80 |
88 |
96 |
9 |
0 |
9 |
18 |
27 |
36 |
45 |
54 |
63 |
72 |
81 |
90 |
99 |
108 |
10 |
0 |
10 |
20 |
30 |
40 |
50 |
60 |
70 |
80 |
90 |
100 |
110 |
120 |
11 |
0 |
11 |
22 |
33 |
44 |
55 |
66 |
77 |
88 |
99 |
110 |
121 |
132 |
12 |
0 |
12 |
24 |
36 |
48 |
60 |
72 |
84 |
96 |
108 |
120 |
132 |
144 |
It sounds confusing but really isn't. To make it easier to understand, make yourself a multiplication chart for the facts 0 to 12 and color code like each step above. It should help you understand a little better. Multiplication facts really aren't that difficult when you break them down.
Come back soon for more tips and tricks.