How to quickly learn the multiplication table on your fingers. Multiplication on fingers. Entertaining mathematics

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 your middle finger with your 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 tables 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 to which fingers you need to join in order to calculate what the product of 9 and 7 is, you chose the index finger of your left hand and the ring finger right hand finger. 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 multiplication tables on your child's fingers, then just try to include the practice of counting the products of different numbers in 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.

In life, people who are able to do mental calculations look like “super smart people,” although there is nothing complicated about it. A calculator is a calculator, but counting in your head is useful!
How to help your child learn the multiplication tables
Below are some simple techniques

Multiplying by 2 or doubling. Doubling is quite easy, just add something to yourself. At first, I showed one, two, three, four, five fingers on my left and right hand at the same time - this is how we got 2, 4, 6, 8, 10. Together with my student’s fingers, we reached twenty, and then I pointed to various things in the room, and suggested counting and doubling - the number of letters in a poster, the number of symbols on a watch dial, counting the number of spokes on one side of a bicycle wheel, and checking whether the total number matches the double, and so on.

Multiplying by 4 and 8, 3 and 6

When you know how to multiply by two, this is mere nonsense. Multiplying by four is the same as doubling the answer for something that has already been doubled, for example, 7x4 is 7x2x2, and we already remembered well that 7x2 is 14 in the previous lesson about doubling, so turn 14 itself into 28 will not be difficult. Once you've figured out the four, it's not that hard to figure out the big eights. Along the way we noticed that, for example, 16 is both 2x8 and 4x4. So we learned that there are numbers consisting entirely of twos: 2, 4, 8, 16, 32, 64.

By multiplying by 3 and 6, we learned the old pirate method of "dividing by three." If you add the digits of a number multiplied by 3, 6, or any other number that is divisible by three, then the result of adding the digits of the answer is always a multiple of three. For example, 3x5 = 15, 1+5 = 6. Or 6x8 = 48, and 4+8 = 12, a multiple of three. And you can add the numbers into 12, you also get 3, so if you get to the end like this, you always get one of three numbers: 3, 6 or 9.

So we turned it into another game. I would ask a number, even a three- or four-digit one, and ask if it was divisible by 3. To answer, just add the numbers, which is quite simple. If the number was divisible by 3, then I asked - “and by 6?” – and then you just had to see if it was even. And then (in the special case of small numbers from the table) sometimes I also wanted to find out what would happen when dividing by 3 or 6. It was a very fun activity.

Multiplying by 5 and 7, prime numbers
And now we are left with multiplication by five, seven, and nine. This means that we learned to multiply them by many other numbers - by 1, 2, 3, 4, 6, 8 and 10. We figured out five very quickly - it’s easy to remember: at the end there is either a zero or five, just the same as a number to be multiplied: either even or odd. A clock dial is a great object to use with A's; you can come up with many problems about traveling in time and space. At the same time, I explained why there are sixty minutes in an hour, and we understood why this is convenient.

We saw that it is convenient to divide 60 by 1, 2, 3, 4, 5, 6, but it is inconvenient to divide by 7. So it was time to take a closer look at this number. From multiplication by seven, the only ones left to remember were 7x7 and 7x9. Now we knew almost everything we needed. I explained that seven is simply a very proud number - such numbers are called prime, they are divisible only by 1 and themselves.

Math can be fun and easy. Check out this cute table.
If you study it thoughtfully, there is not much to learn. There are 36 positions in total. The rest are either simple (1 x 10) or reversible (2 x 4 = 4 x 2). Minus 10 positions from the multiplication table by 9. It can be learned in 5 minutes. There is this trick:

So, let's go.

First, let's put our hands on the table and mentally number our fingers from left to right from 1 to 10. To perform the multiplication action, let's say 9 x 3 = ?, bend the third finger from the left. All! The answer is ready: the remaining uncurled fingers on the left form the number of tens in the answer, and the uncurled fingers on the right form the number of units. We count and say the answer: 27!

This way you can get the answer for any number. Here, for example, is an example 9 x 7 = 63

watch multiplication by 9 in the video:

How to help your child learn the multiplication tables?

Below are some simple techniques

Multiplying by 2 or doubling.

Doubling is quite easy, just add something to yourself. First, I showed one, two, three, four, five fingers on my left and right hand at the same time - this is how we got 2, 4, 6, 8, 10.

Together with my student's fingers, we reached twenty, and then I pointed to different things in the room, and suggested that they count and double - the number of letters in a poster, the number of symbols on a clock dial, count the number of spokes on one side of a bicycle wheel, and check if it fits whether the total number is doubled and so on.

Multiplying by 4 and 8, 3 and 6

By multiplying by 3 and 6, we learned the old pirate method of "dividing by three."

If you add the digits of a number multiplied by 3, 6, or any other number that is divisible by three, then the result of adding the digits of the answer is always a multiple of three. For example, 3x5 = 15, 1+5 = 6. Or 6x8 = 48, and 4+8 = 12, a multiple of three. And you can add the numbers into 12, you also get 3, so if you get to the end like this, you always get one of three numbers: 3, 6 or 9.

So we turned it into another game. I would ask a number, even a three- or four-digit one, and ask if it was divisible by 3. To answer, just add the numbers, which is quite simple. If the number was divisible by 3, then I asked - “and by 6?” – and then you just had to see if it was even. And then (in the special case of small numbers from the table) sometimes I also wanted to find out what would happen when dividing by 3 or 6. It was a very fun activity.

Multiplying by 5 and 7, prime numbers

And now we are left with multiplication by five, seven, and nine. This means that we learned to multiply them by many other numbers - by 1, 2, 3, 4, 6, 8 and 10. We figured out five very quickly - it’s easy to remember: at the end there is either a zero or five, just the same as a number to be multiplied: either even or odd.

A clock dial is a great object to use with A's; you can come up with many problems about traveling in time and space. At the same time, I explained why there are sixty minutes in an hour, and we understood why this is convenient.

We saw that it is convenient to divide 60 by 1, 2, 3, 4, 5, 6, but it is inconvenient to divide by 7. So it was time to take a closer look at this number. From multiplication by seven, the only ones left to remember were 7x7 and 7x9. Now we knew almost everything we needed. I explained that seven is simply a very proud number - such numbers are called prime, they are divisible only by 1 and themselves.

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 this is not only elementary 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 (we connect the 8th finger of the left hand and the 7th finger of the right hand, although it can be done 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 the resulting number is 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

One more 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 each 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!

Preparation
Each finger on the left and right hand is assigned a specific number:
little finger - 6,
ring finger - 7,
average - 8,
index - 9
and the big one - 10.
At the beginning of mastering the method, these numbers can be drawn on your fingertips. When multiplying, your hands are positioned naturally, with your palms facing you.

Methodology
1. Multiply 7 by 8. Turn your hands with your palms facing you and touch the ring finger (7) of your left hand with the middle finger (8) of your right hand (see figure).

Let's pay attention to the fingers that are above the touching fingers 7 and 8. On the left hand there are three fingers above 7 (middle, index and thumb), on the right hand above 8 there are two fingers (index and thumb).
We will call these fingers (three on the left hand and two on the right) upper. We will call the remaining fingers (little and ring fingers on the left hand and little, ring and middle fingers on the right) lower. In this case (7 x 8) there are 5 upper fingers and 5 lower ones.
Now let’s find the product 7 x 8. To do this:
1) multiply the number of lower fingers by 10, we get 5 x 10 = 50;
2) multiply the numbers of the upper fingers on the left and right hands, we get 3 x 2 = 6;
3) finally, add these two numbers, we get the final answer: 50 + 6 = 56.
We got that 7 x 8 = 56.

2. Multiply 6 by 6. Turn your hands with your palms facing you and touch the little finger (6) of your left hand to the little finger (6) of your right (see figure).

Now there are 4 upper fingers on the left and right hands.
Let's find the product 6 x 6:
1) multiply the number of lower fingers by 10: 2 x 10 = 20;
2) multiply the number of upper fingers on the left and right hands: 4 x 4 = 16;
3) add these two numbers: 20 + 16 = 36.
We got that 6 x 6 = 36.

3. Multiply 7 by 10. This will test the rule of multiplication by 10. Touch the ring finger (6) of the left hand with the thumb (10) of the right. There are 3 upper fingers on the left hand, and 0 on the right (see figure).

Let's find the product 7 x 10:
1) multiply the number of lower fingers by 10: 7 x 10 = 70;
2) multiply the number of upper fingers on the left and right hands: 3 x 0 = 0;
3) add these two numbers: 70 + 0 = 70.
We got that 7 x 10 = 70.
http://www.baby.ru/blogs/post/202133846-69131/

Multiply by 9
To do this, place your hands palms down next to each other, fingers straight. Now, to multiply any number by 9, simply bend your finger under the number of this number (counting from the left). The number of fingers before the curved one will be tens of the answer, and after - units.

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