Multiplication table on fingers by 3. Multiplication on fingers. Entertaining mathematics

Today in the lesson we will literally learn to multiply numbers with our fingers. When you don’t have a notebook and calculator at hand, pay attention to the hand itself - it has fingers. My grandmother showed me this method of multiplication, and I decided, since I myself will never become a grandmother, it’s time to tell you about the capabilities of our fingers.
I hasten to warn you that the method talks about multiplying the numbers 6, 7, 8, 9. By default, it is assumed that you know how to multiply up to five.
So, the counting rules:
One bent finger is the number 6, two fingers is the number 7, three fingers is the number 8, four fingers is the number 9.
Example. Multiply 6x6. Bend one finger on both hands.
We multiply the unbent fingers by each other. 4x4=16. We take the bent ones as tens and add them up. This is 20. 20+16=36. Total 6x6=36
Let's multiply. 6x7.
We multiply the unbent fingers by each other. 4x3=12. We take the bent ones as tens and add them up. This is 30. 30+12=42. Total 6x7=42
Multiply 7x7
We multiply the unbent fingers by each other. 3x3=9. We take the bent ones as tens and add them up. This is 40. 40+9=49. Total 7x7=49
Multiply 7x8
We multiply the unbent fingers by each other. 3x2=6. We take the bent ones as tens and add them up. This is 50. 50+6=56. Total 7x8=56
Multiply 8x8
We multiply the unbent fingers by each other. 2x2=4. We take the bent ones as tens and add them up. This is 60. 60+4=42. Total 8x8=64
Multiply 8x9
We multiply the unbent fingers by each other. 2x1=2. We take the bent ones as tens and add them up. This is 70. 70+2=72. Total 8x9=72
And multiply 9x9

If you are puzzled by the question of how to help your child learn the multiplication tables, our article is for you. This table is not so scary if you know which way to approach it. Revealing secrets!

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– Five five – twenty five?
- Absolutely right!

Twice two is four, everyone in the whole world knows this! Everyone may know it, but the multiplication table doesn’t end there, there are more complicated options, and you can’t get by with a simple rhyme.

Rhetorical question

After finishing school and by virtue of his professional activity Having not particularly dealt with complex mathematical calculations, I somehow caught myself thinking that the results of multiplication from a banal table that all schoolchildren are simply obliged to know like “Our Father” no longer come to mind so quickly. Hmm... maybe it’s not so necessary to learn the multiplication table in the age of calculators and special computer programs that will give the desired result in a matter of minutes?

Nowadays you will no longer meet an accountant with accounts or a student with a slide rule, but you can “estimate” the change in a store using mobile phone. Maybe this multiplication table? Why clutter your brain, in case something important doesn’t fit in? Let's leave this question rhetorical, let every adult answer it himself. Now we are talking about something else.

A second-grader sheds burning tears (he may not shed them, but he still experiences difficulties), vainly memorizing “six eight – forty eight.” No parent can look at such suffering with indifference, so we suggest learning the multiplication tables together!

How to prepare your child for learning the multiplication tables?

My mother-in-law, who worked at the school for many years, suggested a simple way to prepare a child for learning the multiplication tables. It is suitable even for preschoolers.

I hope you already understand what I'm getting at. Yes! Without noticing it, the child is ALREADY learning the multiplication table, it just doesn’t look as scary as the impregnable columns of numbers and arithmetic operations, looking militantly and menacingly from the pages of textbooks and winking ominously from the cover of math notebooks.

Educators in kindergarten And school teachers, as a rule, they teach children to count in twos, fives, tens, but it doesn’t go further than that, and in vain. The method is really excellent, proven and effective. Try it!

Multiplication table secrets: how to avoid cramming

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Here is a multiplication table. Ten columns with ten examples each! Horror! A hundred rules to memorize? Don’t panic yourself and don’t scare poor Dunno. In fact, there are MUCH fewer rules.

You don’t have to cram the first column of examples, everyone already knows that a number multiplied by one is equal to itself, and multiplying by 10 is as easy as shelling pears, we add a zero to tens, and there are so many things to do. Now you have not 100, but 80 examples. Agree, it doesn't look so scary?

So... Next, explain to the child that changing the places of the multipliers does not change the result: 5 x 2 - exactly the same as 2 x 5. Any first-grader knows that changing the places of the terms does not change the sum - the same law applies here. And now you don’t have 80 examples to cram, but only 36. A significant difference, isn’t it?

The child is excellent at adding identical numbers. For example, 2 + 2, 5 + 5. Explain to him that adding two identical numbers is the same as multiplying by 2. Here are a couple more examples in the multiplication table without cramming. We know how to fold!

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Next, we remove easy examples from the cramming list, such as “twice two is four,” “five five is twenty five,” “six six is thirty six.” You can sing a well-known children's song and consider the multiplication table in your pocket. There will be very little left that really needs to be memorized.

In fact, only 15 examples out of a hundred are subject to cramming.

How do you like it? Can we handle it?

The secret of the 9 multiplication table

Try multiplying by 10 and subtracting the excess! It's much easier this way, you'll see.

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Here you can cheat a little and use this interesting feature. Write down the multiplication table by 9 in a column, and enter the numbers in the answers as follows: from 1 to 9 from top to bottom (“we don’t write 0”) and from 9 to 1 in reverse side. Check it out if you don't believe me! This is true!

And also You can multiply by 9 on your fingers! And there's nothing wrong with that. See how it's done.

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Place both hands on the table and number your fingers (you can put them on a piece of paper and sign on top). How to multiply 3 by 9, for example? Bend the third finger on your left hand and see what happens. Two fingers on the left are 2 tens, 7 fingers to the right of the curved one are 7 ones. Total - 27!

Let's check again how this works using the example of 7 x 9. Bend the seventh finger (counting from left to right). Everything on the left is tens, everything on the right is ones. We count fingers - 6 tens and 3 units. Hooray! 7 x 9 = 63. That's right!

Multiplication on fingers: video

It turns out that you can multiply any examples from the multiplication table on your fingers. Perhaps the video option will be useful to you. Look carefully, everything is not as complicated as it seems at first glance.

A little about other ways to memorize the multiplication tables

1. Poetic multiplication table

Poems will help you reinforce the multiplication tables. We recommend A. Usachev’s book “Multiplication Tables in Poems” or similar books by other authors. It is unlikely that learning all one hundred quatrains by heart is easier than memorizing examples, but in especially “hopeless” cases, verses can come in handy, even just a picture in a book can help remember the necessary answers.

2. Musical multiplication table

Audio CDs and wall posters are also options for studying the multiplication tables.

3. DIY poster

Anyone can print it on a printer or buy a ready-made poster if they wish. Try making a multiplication table with your own hands with your child. The result will surprise you! As long as an inquisitive and diligent student writes down all one hundred examples, he will learn them by heart without any cramming. Let the poster hang in a prominent place and be an eyesore! This is better than daily reminders: “Go review your multiplication tables.”

4. Examples from life

It is important to find your own approach to each child. Perhaps it will be easier for a boy to remember the multiplication table if he gives an example from life: “How many wheels do three cars have?” Girls will understand this example more clearly: “How many rubber bands do you need to braid two braids for three dolls?”

Dear readers! Tell us how your children became friends with the multiplication table. Perhaps you have your own secrets on how to help your child remember the multiplication tables? We are waiting for your comments, perhaps they will help other parents.

Welcome to this page! Today we will talk about multiplication...Oh, this multiplication table.

From year to year, both at school and now, as a tutor, I encounter the same problem: students do not know the multiplication table. And that's not only primary school, but also students of 9th, 10th and even 11th grades. And so today I decided to devote time to it – the Multiplication Table.

Students very quickly memorize the table for 2, 3, 4, 5, but then... There are not many ways to learn the table)) For example, you can learn the multiplication table for 6,7,8 and 9 using your fingers. And just don’t say that counting on your fingers is a shame))) NOT A SHAME!!! After using it for a long time, you will finally remember the entire table and will no longer use your fingers for counting...

We'll be using both hands to study the table, so clear out all the unnecessary stuff and let's get started.

I'll start from the end))) Let's look at multiplying by 9:

First, let's agree and designate the fingers with numbers, as in the picture:

9*2=18 Bend your finger under number 2. The number of fingers on the left are tens, the number of fingers on the right are units. In our case, there is one finger on the left, eight on the right, this is how we get the number 18.

9*3=27 (two fingers on the left and seven fingers on the right)

9*4=36 (three fingers on the left and six fingers on the right)

Etc. if you check the multiplication of nine or other numbers, make sure that this method works. And it's easy to remember.

Now let's talk about multiplying by numbers 6, 7 and 8.

Let's number the fingers of our hands again, only in a slightly different order.

When multiplying, we connect the fingers of the corresponding numbers.

8*7=56 (connect the 8th finger of the left hand and the 7th finger right hand, although it can be the other way around)

As a result, from below we get tens (connected fingers are also counted), and from above - the number of fingers of the left hand must be multiplied by the number of fingers of the right hand and added to the tens))

In our case, there are 5 fingers at the bottom, 2*3=6 at the top. Therefore 50+6=56

Let's try again:

6*9=54 (connect the 6th finger of the left hand and the 9th)

In our case, there are 5 fingers at the bottom, 1*4=6 at the top. Therefore 50+4=54

Another example: 6*6=36 (connect the 6th finger of the left hand and the 6th)

In our case, there are 2 fingers at the bottom, 4*4=16 at the top. Therefore 20+16=36

The process of studying the table needs to be turned into a game.
Under no circumstances try to learn the table in one day.
Approach this process with interest and understanding of why you need it.
Celebrate your successes, praise yourself for every victory.
If you don't feel like studying today, skip class. But don’t forget, only your intention and regular training will give the desired result.
For 10-15 minutes every day, the multiplication table will become your assistant when studying other topics in mathematics.

Make yourself cards, on one side of which write an example, on the other - the answer. Use colored cardstock for the cards (to make it easier to separate cards by specific numbers). Shuffle the studied cards and, pulling out one at a time, put the cards in two piles: in one - those that you answered correctly, in the other - those you answered incorrectly.

You can download a blank for such cards here (I printed it on colored self-adhesive paper, cut it out and glued it to cardboard). , .

If you are too lazy to make cards yourself, order them from us) In the near future we will upload a product description and price information.

You can apply for cards now. To do this, write in the comments to this article or through the form on the Contacts page.

Play with classmates, relatives and friends, the one who gives the most correct answers wins. Play for a while, 5 minutes is an excellent result for the entire table. Play backwards, select cards with the same answers and name what numbers can be obtained by multiplying them to get this answer.

In general, it all depends on your imagination. If you have your own way of using cards, write in the comments, maybe your method will help someone cope with the table faster.

And of course there is many computer simulators, which can be downloaded not only to your computer, but also to your phone. You can find links to them on the Internet.

P.S. Soon I will upload a link to one of these simulators developed by my team. Perhaps you will like this method better. So bookmark this page to be one of the first to try the simulator.

I wish you good luck in such an important matter as learning the multiplication tables! And believe me, once you learn it, many topics will be much easier!

In the summer, Arina must learn the multiplication table. She already knows up to 5, and then the set of numbers is a little more complicated. Today we discovered an interesting method of multiplication on our fingers. We figured it out. Arina is delighted, and I’m also somewhat surprised why they didn’t know about it at school! I'm sharing.

Turn your hands with your palms facing you and assign numbers from 6 to 10 to each finger, starting with the little finger.

Now let's try to multiply, for example, 7x8. To do this, connect finger No. 7 on your left hand with finger No. 8 on your right.

Now we count the fingers: the number of fingers under the connected ones is tens.

And we multiply the fingers of the left hand remaining on top by the fingers of the right hand - these will be our units (3x2 = 6). The total is 56.

Sometimes it happens that when multiplying “units” the result is greater than 9. In such cases, you need to add both results into a column.

For example, 7x6. In this case, it turns out that the “units” are equal to 12 (3x4). Tens equal 3.

3 (tens)
+
12 (units)
________
42

Multiply by 9

Turn your hands again with your palms facing you, but now the numbering of your fingers will go in order from left to right, that is, from 1 to 10.

Now we multiply, for example, 2x9. Everything that goes up to finger No. 2 is tens (that is, 1 in this case). And all that remains after finger No. 2 is units (that is, 8). As a result we get 18.

Being able to multiply on your fingers is a valuable skill, and humans have known how to count multiplication tables on their fingers since at least the 15th century. We may have mobile calculators, but in many cases, it's actually easier to keep your phone in your pocket and multiply on your fingers. This technique can also be useful for kids who have problems learning endless mathematical formulas.

You can start learning the multiplication table on your fingers after your child knows multiplication from one to five. Already on the basis of this knowledge, you can develop the skill of literally manual multiplication. So, let's get started?

Multiplication table on fingers: nine

Hold your hands in front of you, palms up. Each of your ten fingers represents a number. Moving from your left thumb to your right thumb, count the numbers one through ten.

Point the finger whose number corresponds to the number you want to multiply by nine down towards your body. So, for example, if you want to decide how much 9x3 is, you will need to hold middle finger left hand. The middle finger represents number three because if you count your fingers from one to ten starting with your left thumb, your middle finger is third.

We make a calculation

The problem is solved by counting fingers to the left and to the right. First, count the fingers to the left of your bent finger - in this case there will be two. Then count the fingers to the right of your bent finger - in this case it should be seven. The first digit of the answer is two, and the second digit is seven. As a result, the answer is 27!

This is how the multiplication table for 9 works on your fingers. Try this with other multiples of nine. How would you multiply 9 by 2? How about 9 by 7? This method is incredibly simple and understandable even for kids. As practice shows, children learn mathematics more willingly and successfully if they know this interesting way of calculating the product of two numbers!

Multiplication table on fingers for six, seven, eight and ten

Hold your hands so that your palms are facing your body and your fingers are facing each other. Again each finger will represent a number. Your little finger represents number six. The ring finger will have a value of seven, the middle finger - eight. Your index fingers will symbolize the nine, and your thumbs will symbolize the ten. So, how to learn the multiplication table on your fingers?

Calculation scheme

For example, if you want to calculate what 7 * 6 is, you need to touch the ring finger of your left hand (since it represents the number on the left) with the little finger of your right hand, since it represents the number on the right. Again, remember that each finger represents a number, and in this case, your ring finger represents seven and your pinky represents six. So you need to connect them to solve this math problem.

You may have to bend your wrist in a weird way to calculate the product of two numbers! Who said it would be easy?

To make sure that you correctly understand the technique of multiplication tables on your fingers for six, seven, eight and ten, test yourself. If you had to figure out what the product of 9 and 7 would be, which fingers would you put together? Think! The answer will be in the next sentence.

So, consider that you have learned the multiplication table on your fingers for six, seven, eight and ten if, as an answer, which fingers you need to connect in order to calculate what the product of 9 and 7 is equal to, you chose index finger your left hand and the ring finger of your right hand. It's a small matter!

How to count?

The next step is to simply count the fingers that are touching, as well as the fingers underneath them. They will represent decimal numbers. In this case, you will count the ring finger on your left hand, the little finger on your left hand, and the little finger on your right hand. Each finger you count will be equal to 10. In this case, the total is 30.

Multiply the remaining fingers. The next step is to add up the number of fingers on each hand, not counting the fingers that touch each other. First, count the number of fingers on your left hand that are above the touching fingers - in this case there will be 3. Then count the number of fingers on your right hand above the touching fingers - in this case there will be 4. 3 * 4 = 12. Add the two numbers together, to find your answer. In this case, you need to add 30 to 12. The total will be 42. If you multiply 7 by 6, the answer will be the same and equal to 42!

The multiplication table on your fingers may seem complicated at first, but if you carefully understand it, it is much easier to learn than the endless formulas in a real mathematical table.

Multiply by 10 using the same method. For example, if you want to find the answer to what 10 times 7 is, start by touching the ring finger of your right hand with your left thumb. Count the number of fingers under the connecting fingers, including the fingers that touch each other. You should have a total of 7, which means 70. Then count the number of fingers above the touching fingers of your right and left hands. There should be 0 on your left and 3 on your right. Now multiply 3 by 0 = 0 and add 70 to 0 for the answer. The answer is 10 to 7 = 70!

Bottom line

Try this with other multiples of six, seven, eight and ten. How would you multiply with 8 and 8 fingers? What about 8 and 10? If you are interested in the question of how to teach the multiplication table on your child’s fingers, then just try to include the practice of counting the product different numbers into your daily routine. You won’t even notice how your baby will not only quickly begin to count the product of two numbers, but will also eventually memorize the multiplication table.

This is the whole appeal of this method - it is fun, makes you think logically, activates mathematical abilities and at the same time develops memory. What could be better for a child? Let's finally calculate what the product of 6 and 10 will be equal to? What about 8 and 9? What about 7 and 8? This is some fun math.