Updated on February 3, 2018

## Tips and Tricks

The dreaded multiplication tables are the bane of many children’s earliest math experiences. The columns of math problems seem daunting and unrealistic but; with a few simple tricks, any child can easily conquer them.

Normally timed, the multiplication sheets start out easy with multiplication questions with 0’s and 1’s and progressively advances from there to the dreaded 9’s. Below I have included some of my tips and tricks for each number, 0-9.

There are two ways to tackle the multiplication sheet. A student can either read it like a book going from top to bottom, left to right or go by the numbers which is what I recommend. Have the child scan through the table for every problem that include 0, then 1, then 2, and so on. This method allows for the tricks to be easily applied rather than going back and forth between numbers.

With 0’s, multiplication is easy. You can’t multiply anything by nothing so, anything multiplied by 0 is 0. Anything multiplied by 1 is itself.

The 2’s are still easy. Anything that is multiplied by 2 is first and foremost an even number. The other trick has to do with the other number being multiplied (and is good until you get to multiplying 2-digit numbers by another 2-digit number). 2x1=2, 2x6=12, 2x11=22, 2x16=32. Any number ending in a 1 or 6 and is multiplied by 2 will end in 2. 2x2=4, 2x7=14, 2x12=24, 2x17=34. Any number ending in a 2 or 7 and is multiplied by 2 will end in 4. 2x3=6, 2x8=16. 2x13=26. 2x18=36. Any number ending in a 3 or 8 and is multiplied by 2 will end in 6. 2x4=8, 2x9=18, 2x14=28, 2x19=38. Any number ending in a 4 or 9 and is multiplied by 2 will end in 8. 2x5=10, 2x10=20, 2x15=30, 2x20=40. Any number (that isn’t 0) ending in a 0 or 5 is multiplied by 2 will end in 0.

For the 3’s the key is good old addition. There aren’t really any tips like the one for the 2’s but there is a super easy way to double check your answers. Can the individual integers in the number add up to a number that is divisible by 3. Let me explain. Is 14 divisible by 3? Well, 1+4=5 and 5 is not divisible by 3 completely. 14 is not divisible by 3. Is 245 divisible by 3? 2+4+5=11. 245 is not divisible by 3. Is 234,987 divisible by 3? 2+3+4+9+8+7=33. 33 is divisible by 3 so 234,987 is divisible by 3.

For the 4’s we mirror the tip for the 2’s. Anything that is multiplied by 4 is an even number. 4x1’s and 4x6’s both end in a 4. 4x2’s and 4x7’s both end in 8. 4x3’s and 4x8’s both end in 2. 4x4’s and 4x9’s both end in 6. 4x0’s (at least 10 and not 0) and 4x5’s end in 0.

For the 5’s, all even numbers end in 0, all odd numbers end in 5. 5x1=5, 5x2=10, 5x3=15 and so on.

For the 6’s we mirror the tip for the 2’s AND the 3’s. Anything that is multiplied by 6 is an even number AND has to follow the rule for 3’s. 6x1’s and 6x6’s both end in 6. 6x2’s and 6x7’s both end in 2. 6x3’s and 6x8’s both end in 8. 6x4’s and 6x9’s both end in 4.

For the 7’s there aren’t any tips and would encourage memorization.

For the 8’s we again mirror the 2’s. Anything that is multiplied by 8 is an even number. 8x1’s and 8x6’s end in 8. 8x2’s and 8x7’s end in 6. 8x3’s and 8x8’s end in 4. 8x4’s and 8x9’s end in 2.

For the 9’s the trick is simple. Take the number that you are multiplying by 9. For example 9*3, you would take 3 in this example. Take the 3 and subtract 1. 2 is the first number of the answer. What +2=9? 7. The answer is 27. As another example lets take 9*8 . First take 8-1, which equals 7. 7 is the first number. 7+what number equals 9? 2. The answer is 72. This trick also works for numbers greater than 90 but has to be modified. Take 9*15. For numbers greater than 90 you minus 2 from the second number. So, 15-2=13. Then, because 9 is divisible by 3, the 3 tip also pertains but there is a slight change. The addition of the integers must be a multiple of 9. 1+3=4. 4+what=9? The answer is 5. 9x15=135.

Look at multiplication as a set of rules. Once you know the rules, it’ll be easy to help your kids. Good luck!

2

3

23

8

28