EntranceHow to learn the multiplication table without crying. Secrets of the magic of mathematics
Almost all parents whose children go to school are faced, sooner or later, with the need to remember long-forgotten school disciplines in order to help the child understand them or learn something.
And one of the first serious tasks, as well as one of the first problems, is the multiplication table, which is often given to children for self-study for the summer after first grade.
In this case, the task of the parents is to explain to the child the basic principle of mathematical operation and correctly convey to him the essence of multiplication, so that he learns the table calmly, easily and quickly without monotonous and boring memorization.
Sometimes it happens that the baby has not yet gone to school, but the mother wants him to already multiply at least three-digit numbers in his head. Of course, among children there are little prodigies who are really capable of this and can learn not only the multiplication tables in early age, but also start extracting square roots from numbers or solving complex equations. However, this is rather an exception to the rule.
Basically, even younger schoolchildren The multiplication table is not easy and difficult, because it is usually explained as an incomprehensible and boring set of numbers that for some reason must be remembered. What can we say in this case about preschool children?
So, unless your little one is a math whiz, don't overwhelm him with multiplication tables. Since he will be required to master this skill only in the second grade of school, it is recommended that a child be introduced to the multiplication table and the principle of its operation no earlier than seven or eight years of age.
However, you can prepare your child by teaching him the math behind multiplication once he has mastered addition and subtraction.
Each child masters mathematics in his own way: some have a well-developed mechanical memory, so they remember and memorize everything faster, others need to reinforce information with the help of visual or emotional perception, that is, use cards with pictures, objects, toys, poems and songs. The same goes for presenting multiplication tables to your child.
So that it is not difficult for the baby in the middle school year, the table is usually set for independent reference during the summer holidays.
Be sure to help your child figure it out, but be prepared for the fact that you will need to put in a lot of work and also be patient.
Some nuances and important points
It is also necessary to understand that you can start studying the table only when the child has already mastered basic mathematical operations. That is, he knows well and confidently:
- count at least to one hundred - in normal and reverse order;
- distinguish between simple numbers, numbers and tens;
- understand the composition of numbers;
- add and subtract;
- understand the principle of multiplication itself, be able to replace addition with multiplication and vice versa.
Modern children do not always understand why they need to memorize a table, which is often presented in schools as mathematical gobbledygook, because you can easily and quickly calculate on a calculator or get the answer from a computer/tablet/phone.
Your task is to find significant motivation for the child, explain to him why such knowledge, skills and abilities are needed, how they can help later in school and in life, and what benefits can be derived from them.
Try to find your reasons using the following eloquent arguments:
- Having understood the principle on which the multiplication table is built and having learned it, the child will quickly carry out any calculations, operate with large and multi-digit numbers in his head - this will give him an advantage in his studies and will allow him to cope with mathematics tasks much faster;
- even if at first he needs a cheat sheet or paper to make a calculation, the result will still be found only with the help of his own knowledge and memory - without the use of outside help in the form of an electronic device;
- such knowledge helps develop and improve “mathematical intuition”, train memory, enhance intelligence and speed of brain reactions;
- The multiplication table is one of the basic mathematical operations, so without it it will not be possible to master the “deeper waters” in this discipline.
How to learn? Let's move on to practice
Having decided on the age and readiness of the child, you can select the method by which you want to teach him.
To make the choice the most optimal and effective for your baby, it is worth getting acquainted with the most basic techniques and methods for studying the table, as well as understanding what rules should be followed to get a good result.
We are looking for the right approach to the child
- In any training, the main thing is consistency and consistency of actions. If you take up the table with your child, then study it regularly, repeating what you have learned each time.
- Do not force your baby to teach or force him to sit down. Try to understand what is causing his refusal - perhaps the child is simply tired, wants to eat, feels unwell or is sick. Then postpone the lesson or reschedule it for another time.
- Some children find it very difficult to sit in one place for a long time - they like to move all the time and need to change activities frequently. In this case, standard lessons will not work, but you can learn the sign while walking or playing, on a swing, or on the way home.
- Motivate your child to study - find exactly the key that will become an incentive for him.
- Under no circumstances should you lash out, shout or scold for mistakes or misunderstandings. You cannot reproach a child with a bad memory, inability to learn anything, etc. Moreover, it is unacceptable to resort to physical punishment.
- Another common mistake parents make is to scare them with bad grades or compare their baby with other children, showing him in an unsightly light. This is completely wrong, because every child is an individual with his own individual pace and characteristics of development.
- Objectively evaluate your child’s knowledge and abilities - if he has a humanitarian rather than a mathematical mind, then look for the approach and methodology that will best suit him and give the greatest effect.
- For example, for children who easily memorize rhymes, you can come up with or find thematic rhymes for each number - this will help the child and simplify the memorization process.
- If your baby has figurative or associative thinking, find associations with all the numbers, write stories, make illustrations or sketches.
- Songs will help young musicians - by singing them, he will remember much easier and faster that five eight is forty, and seven three is twenty-one.
- Take frequent breaks from classes to allow your child to rest.
- Do not take literally the statements in some methods - “learn a table in three hours” or something like that. Remember how you were given the multiplication table at one time, and then start studying with your own child.
- Don't forget to praise your baby for every little or big success and progress.
Let's start learning quickly and easily using the method
Let's look at one of the most effective techniques training, according to which a child will become familiar with the multiplication table in four days, understand the principle of its operation and forever learn what multiplication is and why it is needed.
To explain briefly, the specific meaning of multiplication is the simple replacement of the sum of identical terms with one action.
This is the correct approach, because if a child suddenly forgets some tabular example, he will easily find a way out of the situation, realizing that he can simply add one more term to the previous example.
If a child crams a set of numbers that is incomprehensible to him and does not see their essence and meaning at all, then at any moment he can forget all this gobbledygook and he will not even have anything to start from in order to remember this or that example.
It is worth clarifying that the period of four days is approximate and assumes the presence of special classes, the child’s special interest in learning, as well as his abilities: the ability to operate with numbers within two hundred, mastery of various mathematical operations, understanding of the composition of numbers and the essence of multiplication - in fact, the child should already be able to multiply, but not yet know the tables, as such, by heart.
This video clearly shows how you can easily master the multiplication tables in a fun, game form by making colored cards.
First day
Based on the proposed methodology, you should first carefully study the standard multiplication table.
If we take the multiplication of all numbers from one to ten, then the child will have to learn as many as one hundred examples. At first glance, this is a rather frightening prospect, isn’t it?
However, if you look even more closely, you can find very interesting fact, which many simply do not notice - the table is symmetrical.
So what do you need to do with your child:
- draw or print a table and write in it all the examples of multiplication from one to ten;
- then find identical examples together, such as five multiplied by four and four multiplied by five - explain to the child that the answer does not change from rearrangement, as in addition;
- paint over the resulting symmetrical examples with some other color (light gray) - there should be forty-five repetitions;
- then we also paint over the first and last columns - multiplying ones and tens, since these examples are very easy and do not need to be taught or crammed;
- you should still have 36 cells or thirty-six mathematical facts highlighted - it is these that we will study.
Please note that the highlighted examples should be arranged in the table according to the size of the numbers - from smallest to largest, and their number will increase by one in each column.
That is, if in the column for multiplying twos only one fact remains highlighted - twice two, then for three there will already be two examples - twice three and three times three, etc. Thus, you get a kind of inverted ladder of numbers.
Second day
The main task for the child is to understand and master the principle of doubling. The easiest way to explain it to a child is this: to multiply two by two, you just need to add the number “two” to itself - the result is four.
Look how easy and simple it is:
- to multiply any number by four, you simply need to perform the operation of multiplying two by two times, and in short, when multiplying by four, you must first double the number and then double the result;
- Go through with your child examples of multiplication by two and four for all numbers and color them in light blue;
- Make sure your child understands the principle of doubling, which means he can do without cramming for cases of multiplication by two and four.
Additionally, you can begin to explain to your child that the doubling principle can also be used to multiply by eight, sixteen and other powers of two. That is, the first degree is the number two itself, the second is the number four, the third is the number eight.
This series can be continued indefinitely. This way, the baby will slowly become familiar with finding logarithms, simply by studying the multiplication table.
The third day
The next stage of learning will be mastering the skill of multiplying by five. To learn how to multiply by five, there are several interesting ways:
- if doubling a number is easy enough, then it will not be more difficult to divide it equally or in half, that is, to get the result of multiplying a number by five, you just need to multiply it first by ten, and then divide by two, for example, multiply five by six is equal to half sixty, because we multiply six by ten and divide by two, the result is thirty, etc.;
- you can use another method - for an even number, add zero to half of it, and for an odd number, add five to half of the previous number, for example, when multiplying five by seven, you need to add five to three, that is, to half of six, which is in number series stands before seven, and when multiplying five by eight, divide eight by two and add a zero to the resulting four;
- There is also a completely universal method that is suitable for all numbers, but for now we use it for fives - just count with your child in fives as many times as you need to multiply this same number five, for example, to multiply five by six, count five, ten , fifteen, twenty, twenty-five, thirty - that’s the result;
- We use the same method to explain the multiplication of threes and practice counting with the baby;
- If he understands and has mastered everything, we paint over all the examples of multiplication by five and three with a light purple color - you should have only ten cells left.
Day four
By this point, the child should already understand well and easily solve examples with multiplication of numbers from two to five - without memorization and memorization, simply using all the logical methods proposed above.
He should like the next and final stage of training. To do this you need to use your fingers. It is with their help that the technique offers to learn how to multiply numbers from six to nine.
So, number the fingers of both yourself and your baby. You can write numbers with a felt-tip pen or marker, make applications on paper tips, make numbers from felt, like in a finger theater - additional creativity with a mathematical background will only be a plus.
The fingers of both hands must be numbered:
- there should be fives on the thumbs;
- on the index fingers - sixes;
- on the middle ones - sevens;
- on the unnamed ones - eights;
- on the little fingers - nines.
Here's what to do next.
- Sit down with your child at the table. Place your hands on the table, palms down. All numbers must be clearly and clearly visible.
- Give any example for multiplication, for example, try multiplying nine by eight.
- Bring together the little finger of your left hand with the number nine and the ring finger of your right hand with the number eight. They should touch each other at the edge of the table.
- The remaining seven fingers hang down - four on the left and three on the right. Let's count them by tens - that is, ten for each finger. The result is seventy.
- Now we need to multiply those on the table - one on the left and two on the right - it comes out to two, and together seventy-two.
- We try again with other numbers according to the same principle: we bring together the fingers with the numbers that need to be multiplied, count the fingers in front of them as tens, and multiply the rest together and add the result.
- Go through all the remaining examples so that the child understands this principle and gets the hang of multiplying like this.
- Paint the remaining ten cells light orange.
So we went through the entire table, learning not to memorize the material, but to understand its meaning and reason logically.
Other ways and methods in the form of games and poems
In addition to the proposed methodology, there are many other ways to study the multiplication table in a non-standard way.
The so-called Pythagorean table is very popular and effective in work - you can purchase a ready-made one or draw it yourself with your child. It is quite simple - the numbers are arranged vertically and horizontally from one to nine in tabular form.
The essence of using the table is that the number from the left vertical column is multiplied by another number from the horizontal top line. The child’s task is to move his hand to the place where they intersect on the table and find the result.
With the Pythagorean table you can come up with various games and combinations so that the baby understands the principle of multiplication and trains his memory.
Also worth using:
- interactive sound posters;
- cards with examples for the game;
- poems - there are wonderful poems by Marina Kazarina “About Multiplication” and “Multiplication” by Alexander Usachev;
- online trainers and educational games for learning multiplication tables on a computer;
- practical examples with toys or surrounding objects;
- didactic games - place numbers in houses, catch them like fish, look for the correct answers to solve the mystery of pirate treasures, form trains, etc.
This video presents another interesting teaching method in poetic form.
Conclusion
Be sure to ask how the table is taught at your child’s school. You can use your own teaching method, but at the same time introduce your child to the standard program.
The multiplication tables can be a tough nut to crack, so don't rush and get upset or scold your child if the learning process isn't as easy and quick as you'd like.
Remember that if you approach the matter with patience, endurance, and also act gradually and work according to the methodology, then you will definitely get an excellent result soon.
At some point, parents will definitely be faced with the question: how to quickly learn the multiplication table for a child? He cannot cope with this task on his own; he needs help from adults. And also - correctly chosen memorization methods.
Basics of training
To help your child quickly learn the multiplication table, it is best to first explain to him the essence of this action. He already has the concept of addition and subtraction. Let us explain that 2 multiplied by 2 means adding two twos, that is, 2+2.
More complex examples can be given: 3 multiplied by 4 means adding three 4 times - 3+3+3+3.
It’s good to back up your explanations with real examples that a child can understand: “Grandfather brought 2 sets of markers for you and Ksyusha. Each contains 5 pieces. How many markers in total will you get? How will we calculate: 5 plus 5 or 2 multiplied by 5? And so, and so we get 10.”
Gaming techniques
How to quickly learn the multiplication table for a child? Of course, use gaming visual techniques. Take a box and balls. We put them in a box in pairs. Then the next two balls, then another and another. It turned out like this:
Methods for learning multiplication tables
Various methods will help your child learn the multiplication tables quickly. The fact is that some children are good at memorizing numbers simply mechanically (at this age, this type of memory is quite well developed in them).
Some will need visual reinforcement: videos, drawings, emotional support, gaming techniques and tools such as online games and poetry work well.
Multiplication tables - where to start?
The child needs to be explained how the Pythagorean table works: there are numbers in columns and rows, and where they intersect, we look for the answer - the product of numbers, for example, six by eight is forty-eight (6x8 = 48).
You can start studying the table with its usual version. Explain to your child right away that you shouldn’t be afraid that it’s so big at first glance. Many examples there are already known and do not require memorization.
For example, multiplying by 1 and 10. What does it mean to multiply a number by 1 - take it 1 time. Two will remain a two, four will remain a four, and so on. That is, the number will not change. And multiplying by 10 is also easy - just add a zero to the number: 5x10=50.
Multiply by 2, by 5 and learn squares of numbers
How to quickly learn the multiplication table for a child - memorize the simpler options first. Multiplying by 2 is usually not difficult for children. It's like adding another one to a number.
You can then learn how to multiply by 5. The answers will end in either 0 (even numbers) or 5 (odd numbers).
The next stage is memorizing the squares of numbers. You can’t do this without repetition and reinforcement. The child just has to remember that 8 by 8 is 64, and 9 by 9 is 81.
Usually the first difficulties begin with multiplication by 3. Here it’s time to introduce additional memorization methods - visual techniques, for example, playing cards or associations using poetry. About them - a little lower.
How to multiply by 6, 7, 8 and 9
This stage is the most difficult, and some examples you just need to remember. You will have to constantly repeat these few of the most difficult pieces with your child until the numbers become automatic.
The main thing is to show the child that he already knows almost the entire table, but there are mere trifles left. These are the insidious meanings that are so difficult to remember:
6x7=42
6x8=48
6x9=54
7x8=56
7x9=63
8x9=72
About changing factors
Adults understand that 4x3 = 3x4. But the child needs to be explained that if the factors are swapped, the result will not change.
Then it will be much easier for your student to remember how much, for example, 7 times 4 is. If he forgot, let him remember multiplying 4 by 7. This is an important point in learning the multiplication table.
Different methods for learning the multiplication tables
A variety of ways to study the multiplication table helps you find the one that's right for your child.
Flashcards
All sorts of online games on the Internet also promote memorization, but the most reliable and proven method remains the visual method using memory cards.
Make cards with examples: for example, write 7x8 on one side and the answer on the other. How we play - the child takes a card, answers the question and turns it over to see the answer. If he answered correctly, he keeps the card for himself; if not, he takes another card. The one with the most cards wins. The game involves repetition and memorization, but in a fun way.
One such option is digital lotto. Enter the answers from the table into the cards and make cards with example tasks. Game process stimulates memorization.
Multiply on your fingers
There is a way to count - on your fingers. Suitable for multiplying by 9. You need to place your hands palms down and straighten your fingers. We need to multiply 7 by 9. Bend the 7th finger and look - the number of fingers before it will be equal to tens in the answer - 6, and after the 7th finger - to ones, that is, three. We get 63.
There is another interesting method for multiplying by 9. You need to multiply a given number, for example 6, by 10 (6 by 10 = 60). Now subtract 6, you get 54.
Repetition is the key to memorization
To make it easier for your child to remember, give him visual aids. He must constantly see examples before his eyes and repeat them. You can decorate the table brightly and colorfully and hang it in the children's room and kitchen. This way the information will be remembered easier.
Educational poems
For many children, especially those in the humanities, it is much easier to memorize the table using a poetic form. The most famous similar poems were written by Marina Kazarina and Alexander Usachev:
Multiply five by six
As a result, we get THIRTY.
And five is seven - easy to count -
The short answer: THIRTY-FIVE!
Once a deer asked an elk:
- What is seven eight? —
Elk did not bother to look into the textbook:
- Fifty, of course, six!
Cartoons for memorization
If you set yourself a goal, you can find a lot of interesting cartoons to help those learning the basics of multiplication. Children always respond well to this form of presenting material, so we recommend actively using it. An example is in this video:
Take it for yourself and tell your friends!
Read also on our website:
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Do you think depicting people on paper is difficult, and this art is only accessible to the gifted? Nothing like this! We will tell you how to draw a person, breaking the process into stages and simplifying it as much as possible. Following our instructions, even a child can portray homo sapiens.
How to multiply quickly big numbers How to master such useful skills? Most people find it difficult to verbally multiply two-digit numbers by single-digit numbers. And there is nothing to say about complex arithmetic calculations. But if desired, the abilities inherent in every person can be developed. Regular training, a little effort and the use of effective techniques developed by scientists will allow you to achieve amazing results.
Choosing traditional methods
Methods of multiplying two-digit numbers that have been proven for decades do not lose their relevance. The simplest techniques help millions of ordinary schoolchildren, students of specialized universities and lyceums, as well as people engaged in self-development, improve their computing skills.
Multiplication using number expansion
Most the easy way How to quickly learn to multiply large numbers in your head is to multiply tens and units. First, the tens of two numbers are multiplied, then the ones and tens alternately. The four numbers received are summed up. To use this method, it is important to be able to remember the results of multiplication and add them in your head.
For example, to multiply 38 by 57 you need:
- factor the number into (30+8)*(50+7) ;
- 30*50 = 1500 – remember the result;
- 30*7 + 50*8 = 210 + 400 = 610 – remember;
- (1500 + 610) + 8*7 = 2110 + 56 = 2166
Multiplication by column in the mind
Many people use a visual representation of the usual columnar multiplication in calculations. This method is suitable for those who can memorize auxiliary numbers for a long time and perform arithmetic operations with them. But the process becomes much easier if you learn how to quickly multiply two-digit numbers by single-digit numbers. To multiply, for example, 47*81 you need:
- 47*1 = 47 – remember;
- 47*8 = 376 – remember;
- 376*10 + 47 = 3807.
The above multiplication methods are universal. But knowing more efficient algorithms for some numbers will greatly reduce the number of calculations.
Multiplying by 11
This is perhaps the simplest method that is used to multiply any two-digit numbers by 11.
It is enough to insert their sum between the digits of the multiplier:
13*11 = 1(1+3)3 = 143
If the number in brackets is greater than 10, then one is added to the first digit, and 10 is subtracted from the amount in brackets.
28*11 = 2 (2+8) 8 = 308
Multiplying large numbers
It is very convenient to multiply numbers close to 100 by decomposing them into their components. For example, you need to multiply 87 by 91.
- Each number must be represented as the difference between 100 and one more number:
(100 - 13)*(100 - 9)
The answer will consist of four digits, the first two of which are the difference between the first factor and the subtracted from the second bracket, or vice versa - the difference between the second factor and the subtracted from the first bracket.
87 – 9 = 78
91 – 13 = 78 - The second two digits of the answer are the result of multiplying those subtracted from two parentheses. 13*9 = 144
- As a result, the numbers 78 and 144 are obtained. If, when writing down the final result, a number of 5 digits is obtained, the second and third digits are summed. Result: 87*91 = 7944 .
Parents of schoolchildren often face a rather difficult problem: how to help their child learn the multiplication tables? Children study the Pythagorean table in the second grade primary school. At this age, mechanical memory works perfectly, so many people simply “memorize” the material. But not all children manage to learn the multiplication tables in this way. Today, the Internet provides an exhaustive list of various methods that allow you to learn the multiplication table with comfort for a child and with special attention to his individual characteristics.
There are various ways to memorize the Pythagorean table: proverbs, poems, songs, fairy tales, games, as well as various visual materials. However, no matter which learning path you choose, it is worth remembering one thing: the child must understand the very principle of the multiplication table!
It is important! By the time your child starts learning the multiplication table, he will already know the logic of such an arithmetic operation as addition. First of all, it is worth explaining to the child the process of multiplication itself. For example, 3 times 4 means adding the number 3 four times or 3+3+3+3. Use associations, let it not just be the number 3, but three cars or three dolls. The child must have a good understanding of the arithmetic operation itself - multiplication. If you explain to your child that, in essence, multiplication is a short form of adding a specified number of identical terms.
Only after the child understands the essence of the arithmetic operation, begin to study the table itself.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
| 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |
| 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |
| 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |
| 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |
| 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |
| 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |
| 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 |
| 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
Studying the multiplication table with your child
Teach your child to understand the Pythagorean table. Explain that when you multiply a number from the leftmost column by any of the numbers, you get their product, which is located at the intersection of the desired row and column. When the child learns to easily navigate the table itself, it is necessary to begin the most important thing - memorizing the table itself.
Playfully memorize the multiplication table!
Unfortunately, for many children it is quite difficult to approach the issue of memorizing the table responsibly. It is much easier to teach using a game element. It will be much easier for children to remember information that they find truly interesting.
A fairly simple and effective game is playing with cards. Draw or print with your child various versions of examples from the multiplication table of the form:
- 3x7=?
- 2x4=?
- 5x8=?
You can come up with a great many variations of such a game. For example, your child has learned all the examples of multiplication by 2 and 3. Make only these cards with your child, and then add new ones to them. Another option for better memorization of a table could be to compile cards like:
- 3x?=15
- ?x2=6
- 10x?=10
This is interesting! Use your imagination! It will be much easier, and most importantly, more interesting for the child to remember the material if the cards with examples are bright and colorful. Instead of boring questions, funny animals or your child’s favorite fairy-tale characters will appear. Use your imagination, and then your child will be happy to guess what number is hidden behind the back of the noble Puss in Boots or the funny Carlson.
Learning the multiplication table with your child - basic rules!
So that it is not difficult for a child to memorize the Pythagorean table, and the information received does not turn into mush, it is necessary to follow several simple rules:
- Seeing the Pythagorean table, even the smartest kid can get scared. Explain to your child that there is nothing difficult in understanding this information, and at one time, both mom and dad, and grandparents, taught this table.
- First learn simple multiplication, for example, by one. Explain to your child that when multiplied by 1, the result is always the same number that we multiplied by one. For example, 1x1=1, 5x1=5, 10x1=10, etc. Multiplying by ten is also not difficult to convey to a child: it is the same as adding zero to a number every time. For example, 2x10=20, 3x10=30. The main thing is that the association with the appearance of a zero in a number is imprinted in the child’s head, and he can solve examples not only on paper, but also in his mind.
- When you have learned and repeated the simplest examples, begin to move further along the table with your child.
- After each memorization of an arithmetic operation - multiplication by 2,3,4,5,6, etc. do not forget to repeat the material covered with your child (you can do it in the form of a game, which was described above).
- Very often, a child, having learned multiplication by 2, begins to get lost if an adult asks him: “how much is 2x5?” In such a situation, you need to be careful when explaining to the student the communicative rule of multiplication: when the places of the factors are changed, the product does not change.
Finger games – learning the multiplication tables is fun!
If your child has a hard time learning the multiplication tables. You can use the fingers of a young accountant. A great example would be learning to multiply by 9. Have your child place both hands on the table, palms down. Each finger will represent a number from one to ten. For example, we want to multiply 9 by 4. We count from left to right to 4 - we get the index finger of the left hand. We bend it and count the number of fingers on the left. There are only 3 of them - that's dozens. Pure fingers on the right - 6 - units. Answer 36. This memorization option will bring a bit of magic to the learning process, and your young accountant will definitely be carried away by such an interesting learning process.
Association game
Many children have well-developed motor and figurative memory, so it will be easier for them to remember tabular examples using various associations. For example, number 2 looks like a swan, and number 1 looks like a gnome with a curious nose. For example, in the case of multiplication 2x1=2, you can come up with the following story: One beautiful swan was very lonely. He wanted to find a friend so much that he looked for him everywhere. And then one day he met a gnome with a funny hooked nose. However, the gnome was very cunning and insidious that the swan barely escaped from him. So the swan remained in splendid isolation...
A great many such stories can be invented. Let the child dream up his own imagination, the main thing is that the story unites two multiplier characters, and the work is the logical conclusion of this plot. The more emotional and exciting the stories, the easier it will be for the child to remember this or that example.
Once the cause-and-effect relationships have been worked out with the help of a fairy tale, you can isolate the most important thing: “The swan met a gnome, did he make friends with him or was he left alone?” If your child answered everything correctly, then you need to ask him to compose this example in numbers.
Poems, songs, stories
This method of memorizing multiplication tables is suitable for children who are excellent at memorizing poems and songs. Children can be encouraged to memorize examples from the multiplication tables using poetry. An excellent option are the works of A. Usachev “Multiplication” and M. Kazarina “About Multiplication”. Thus, when solving this or that example, the child will make an association with the rhyming line.
No matter how you explain the multiplication table to your child, the main thing is to never get angry with your baby if he doesn’t understand something! Show patience, as well as your imagination, and then your child will have fun learning the multiplication tables!
bart in Simple mathematics or how to learn to quickly count in your head.Can't imagine your life without a calculator? It is in vain that scientists have proven that people who regularly count in their heads are protected from senile insanity and early dementia. So practice often and I'll tell you a few simple techniques easy and quick mental arithmetic.
1. Multiply by 11
We all know how to quickly multiply a number by 10, you just need to add a zero at the end, but did you know that there is a trick to easily multiply two-digit number at 11?
Let's say we need to multiply 63 by 11. Take the two-digit number that needs to be multiplied by 11 and imagine the space between its two digits:
6_3
Now add the first and second digit of this number and place it in this place:
6_(6+3)_3
And our multiplication result is ready:
63*11=693
If the result of adding the first and second digits is a two-digit number, insert only the second digit, and add one to the first digit of the original number:
79*11=
7_(7+9)_9
(7+1)_6_9
79*11=869
2. Quickly square a number ending in 5
If you need to square a two-digit number ending in 5, you can do it very simply in your head. Multiply the first digit of the number by itself plus one and add 25 at the end, and that's it:
45*45=4*(4+1)_25=2025
3. Multiply by 5
For most people, multiplying by 5 is easy for small numbers, but how can you quickly count large numbers multiplied by 5 in your head?
You need to take this number and divide by 2. If the result is an integer then add 0 to it at the end, if not, discard the remainder and add 5 at the end:
1248*5=(1248/2)_(0 or 5)=624_(0 or 5)=6240 (the result of division by 2 is an integer)
4469*5=(4469/2)_(0 or 5)=(2234.5)_(0 or 5)=22345 (the result of division by 2 with a remainder)
4. Multiply by 4
This is a very simple and, at first glance, obvious trick for multiplying any number by 4, but despite this, people do not realize it at the right time. To simply multiply any number by 4, you need to multiply it by 2, and then multiply it by 2 again:
67*4=67*2*2=134*2=268
5. Calculate 15%
If you need to mentally calculate 15% of a number, there is an easy way to do it. Take 10% of the number (dividing the number by 10) and add half of the resulting 10% to that number.
15% of 884 rubles=(10% of 884 rubles)+((10% of 884 rubles)/2)=88.4 rubles + 44.2 rubles = 132.6 rubles
6. Multiplying large numbers
If you need to multiply large numbers in your head and one of them is even, then you can use the method of simplifying factors by halving the even number and doubling the second:
32*125 is
16*250 is
8*500 is
4*1000=4000
7. Division by 5
Divide big number 5 is very simple in your head. All you need to do is multiply the number by 2 and move the decimal place back one place:
175/5
Multiply by 2: 175*2=350
Shift by one sign: 35.0 or 35
1244/5
Multiply by 2: 1244*2=2488
Shift by one sign: 248.8
8. Subtraction from 1000
To subtract a large number from a thousand, follow a simple technique: subtract all digits of the number from 9 except the last one, and subtract the last digit of the number from 10:
1000-489=(9-4)_(9-8)_(10-9)=511
Of course, to learn how to quickly count in your head, you need to practice using these techniques many times in order to bring them to automaticity; a one-time reading will leave only zeros in your head.