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Picture of Tables of 6, 7, 8 and 9 in your hands
At the age of 8 I had to learn the multiplying tables. I've never been good at memorizing lists or tables. It was easy to learn the tables from 1 to 5 but from 6 to 9 it seemed to be way more complicated... A year later I heard this trick on the radio and it saved my life. Since then I've taught it to many other kids. I passed such a bad time at school as I was the only one in my class who didn't know the tables so I hope this trick was useful for any parent or teacher who knew any child in this situation

SPREAD THE KNOWLEDGE!

Step 1: Ascribe values

Picture of Ascribe values
- First put your hands in front of you as shown in the drawing
- In each hand, ascribe a value from 6 to 10 to each finger

 
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It is simply excellent. Thanks on behalf of my kids.

how do you multiply 8x8 with this??

I finally got it! Multiplying 8 x 8 is really easy because the answer ends up being right in front of you without multiplying. But, I'll explain it Misko's way so there's no confusion if you change the numbers (fingers).

Using the numbering chart Misko showed us, the number 8 is the middle finger. Touch both middle fingers together.

Now focus on the touching fingers AND the ones below them. That's 2 middle fingers (touching), 2 ring fingers and 2 pinkies. That's 6 fingers. The ones touching and below are the 10's, so that works out to (6 x 10 = 60)

Now focus on the fingers above the touching fingers. That's 2 pointer fingers and 2 thumbs. 2 fingers on the left times 2 fingers on the right gives you 4. The fingers above the touching fingers are the 1's, or single digits. Multiply the number of fingers on the left hand with the number of fingers on the right, (2 x 2=4)

60 from the lower fingers plus 4 from the upper fingers.

Answer 64.

Let's try another one, say 7 x 7. Your ring finger is the number 7.

Touch both ring fingers together.

Now focus on the touching fingers AND the ones below them. That's 2 ring fingers (touching) and 2 pinkies. That's 4 fingers. The ones touching AND below are the 10's, so that works out to (4 x 10 = 40)

Now focus on the fingers above the touching fingers. That's 2 middle fingers, 2 pointer fingers and 2 thumbs. 3 fingers on the left, times 3 fingers on the right, gives you 9. The fingers above the touching fingers are the 1's, or single digits. Multiply the number of fingers on the left hand with the number of fingers on the right, (3 x 3=9)

40 from the lower fingers plus 9 from the upper fingers.

Answer 49.

Vonnie22 years ago
UGH! Still trying to understand... Other examples please? I know my multiplication but my son struggles memorizing the totals even if he gets the point of multiplication. If he says 6 x 6 - he would actually have to group dots into 6 of 6.... then count it all.mm
TertiusW Vonnie25 months ago

6 x 6 =( 2 x 10) + (4 x 4) = 20 + 16 = 36.

The steps are:

Add the fingers touching and those below. Only 2 fingers touching, none below gives 2 x 10 = 20. There are 4 fingers above those touching on each hand so that is 4 x 4 = 16. Then you these two products to get final answer of 36...

Another example

8 x 9 = 10 x (3 + 4) + (2 x 1) = = 70 + 2 = 72

Hope this helps

THANK YOU! NOW I got it! I grew up thinking math was hard so I guess I'm still trying to make it hard. haha

my 7 year old loves this idea. she caught on to it very quickly. i'm not sure why some people are struggling with it but we like it. thanks for sharing

Cause some of us are old and stubborn! LOL It's so simple and yet I still have a problem with one of them. hahaha I can't wait to show this to the grandkids!

Angie Lin1 month ago
I can't get 9x7... M I doing it wrong...?
No its correct..follow the method..below you get 60 and up you get 3...hence 63

6X7 does not work.

Yes it does.
put 6 and 7 together
you have 3
up top, you have 3 & 4
mulitply 3*4 (12)
now since 3 is in the tens place
you will see it as 30.
add 12 to that.
42
works every time!

Correct!!

Great!!
keven11 month ago
keven11 month ago
yoemen111 month ago

this is great thanks

azharz3 years ago
Wow, thanks for this because my Maths test is near.

i took a while to understand, but now i learned the whole 9 multiplication table

i have a maths club and now you made it easy

JulianA53 months ago

Made it, at age of 30. Lol

lnkerb3 months ago

The refinement I would make to tie-in to place value, is when looking at the lower fingers, don't say "5", say "50" ... that might also help when it comes to the 6x7 when it is 30 + 12

I love it it has helped me sooooooo much!!!!!

kesmoo5 months ago
This.is gret. Familly time table lesson tonigh. Thank you. Love it
TertiusW5 months ago

The algebraic formula used in this is

(10 - a)(10 - b) = 100 -10(a + b) + ab

e.g. 6 x 7 = (10 - 4)(10 - 3) = 100 - 70 + 12 = 30 + 12 = 42. We only use the second last step in this method. Count the fingers touching and those below on both hands, multiply by 10 and add the product of the fingers on each hand above those touching. This is one of the many methods in Vedic mathematics where algebraic formulas are used to simplify arithmetical calculations.

SnehaP25 months ago

not really a good strategy but thx for sharing it

Kasd1006 months ago

not to be rude but I don't think is correct i know that

KristaK8 months ago
This is way too many steps for my 9nyear old who struggles horribly with math. He struggles with the most basic ofnsteps. He would loae it if i tried to get him to remember all those steps. Not good.

For nines it is easier to do the "down finger" method. Put both hands out and starting left to right (just like reading) put down the finger that is the number being multiplied by 9. For instance if you have 9x6 you put down the sixth finger (which should be the first finger on your right hand. The "down finger" is the dividing line between you tens and ones. You will see when you do it that there are five fingers on the left of the "down finger" and four on the right... which gives you 54! Obviously it only works up to x10.

misko13 (author)  KristaK8 months ago

"He would lose it if I tried to get him to remember all those steps" - Trust on your son. Don't decide what you son can or can not do, let him be the one to tell you this trick is not good. He might surprise you. Give this instructable a chance. Down here I leave a few suggestions to simplify the process.

1 - Write the numbers from 6 to 10 on his fingers (as shown in Step 1), so he can explicitly see the values he wants to multiply.

2 - Make him write every partial result on a paper, so that he won't have to remember the values he gets and he'll be able to focus on each step.

3 - There are two main steps, "Count the fingers" and "Count and multiply". Make him fold the fingers he's not using in that step so he can focus in that step.

4 - This isn't really math. It does have a mathematical explanation but you don't need to understand how it works to use it. Every child I've taught this to takes it as a magic trick. It's more like a puzzle that math

5 - The most complicated multiplications are 6x6 and 6x7 because you don't get the result immediatly, you have to sum the partial results you get. Teach him the others first. Once he gets how it works, you can teach him 6x6 and 6x7 or just make him learn by heart these two results.

6 - Show him the pictures so he could have a visual support he can copy from and check if he's doing it well or not

Example following these new tips:

1 - The first step is putting together the fingers whose values you want to multiply. Example: 7x8 (Ring finger and Middle finger)

2 - Now lets focus on the touching fingers and the ones below them. Make him fold the ones above if it was easier for him. Tell him to count them and to write that number on a paper. Example: He sould get a 5

3 - Put together the fingers whose values you want to multiply again. Now make him fold the touching fingers and the ones below them. He must have 3 unfolded fingers in his left hand and 2 unfolded in his right. Tell him to multiply the fingers of the left hand and the ones in the right hand. Make him write that number on the paper next to the first one (at its right). Example: 3x2=6

Final Answer: 56

TheLoneSquAsh7 months ago

Touch your middle fingers together (in the eight and eight position). The bottom fingers add up to 6 and the top fingers are 2 x 2 = 64! ^,^

jan2qr7 months ago

I taught my granddaughter all of her times tables, 3 through 13 with tunes between 2nd & 3rd grade. You sing the times tables. Kids remember songs faster than they can memorize times tables. Pick a tune that fits with the syllables of the numbers. 3's have one tune, 4's another etc. For 6's & 7's I used twinkle twinkle little star & ABC song-both the same tune. Eight was a toughy. I finally ended up with the "oomh pa pa" song from Oliver Twist. Most of the tunes will get you through 12 or 13. It worked for her & several others that I have taught it to.

AshlynJ7 months ago

Finally a multiplication trick my students will understand. THANK YOU SO MUCH.

KarenG48 months ago

Thank you for the great posters. I have seen this method before but the explanation was NOT kid friendly. My students are doing great with their times tables, but are struggling just a bit with fluency on the 6, 7, 8 facts. I think this will be a fun activity.

It is awersome (thaaaaaaaaaaaaaaaaaaaanks)

KristaK8 months ago
Sorry for fat finger typos

It is best technique but suppose I want to multiply 7 x 5 how to do it using this technique

this is only for 6 thru 9's

why don't you count by 5s

misko13 (author)  kamleshvbhatia1 year ago

With this technique you can only multiply the numbers from 6 to 10, 6, 7, 8, 9 or 10 times as the values you ascribe to the fingers go from 6 to 10. You can always multiply 7x6 and subtract 7.

7 x 6 - 7 = 7 x (6-1) = 7 x 5

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