Column decision game. Column fold

In this game, we will learn to add numbers up to 100 in a column. Bright pictures and detailed explanations will make it easy to understand and remember the column addition algorithm. And the simulator will help to consolidate the topic.

First of all, you need to remember that when solving examples of addition in a column, a larger number is written on top, and a smaller number is written below it. The numbers are written so that the units are under the ones, and the tens (if any) are under the tens.

First, add units, and then tens, with 2 options possible:

If we add units to a single-digit number, we simply write it under the line below the units. If, when adding units, a two-digit number is obtained, including 10, we write only the second digit (units) under the units, and add 1 (ten) to the tens.

The first option is described and illustrated in Lesson 1, and the second option is in Lesson 2 of our Column Addition online training game. After watching the lessons, solve the examples of column addition yourself in the "Trainer" section

Online simulator game "Column multiplication" helps you learn how to multiply two- and three-digit numbers. This game is aimed at children from 7 to 10 years old. Column multiplication is a 3rd grade math program. But there is nothing difficult in this action, therefore, you can master multiplication in a column earlier.

How to learn to multiply with a column?

The game features three levels: multiplying a two-digit number by two-digit (numbers from 10 to 99), multiplying a three-digit number by three-digit (numbers from 100 to 999) and a mix. In a mix, a three-digit number is multiplied by a two-digit number, or a two-digit number is multiplied by a three-digit number.

To correctly multiply two- and three-digit numbers, you need to know well and.

I hope you remember that the numbers that are multiplied by each other are called factors: the first factor, the second factor, and so on. The result of the multiplication is called the product. I also believe that you know that there are categories in numbers: units (the smallest), tens, hundreds, thousands ...

So let's get started. To start multiplication in a column, you need to arrange the multipliers in such a way that the numbers of the same digits are under each other: ones under ones, tens under tens, and so on. At the next step, we take a digit from the category of units of the second factor and multiply it in turn by each digit of the first factor. The result of multiplying each pair of numbers is written in the top line under the corresponding digit.

For each correct answer 1 point is awarded. For wrong - 3 points are subtracted.

If you liked this game, be sure to share it with your friends. After all, they may also like it :-)

This game is designed and extremely useful for boys and girls from 7 to 10 years old.

Division is one of the four basic mathematical operations (addition, subtraction, multiplication). Division, like other operations, is important not only in mathematics, but also in everyday life. For example, you will hand over money to the whole class (25 people) and buy a gift for the teacher, but you will not spend everything, there will be change. So you will need to divide the change among all. The division operation comes in to help you solve this problem.

Division is an interesting operation, as we will see with you in this article!

Division of numbers

So, some theory, then practice! What is division? Division is splitting something into equal parts. That is, it can be a bag of chocolates that needs to be split into equal parts. For example, there are 9 sweets in a bag, and the person who wants to get them - three. Then you need to divide these 9 candies among three people.

It is written like this: 9: 3, the answer will be the number 3. That is, dividing the number 9 by the number 3 shows the number of three numbers contained in the number 9. The opposite action, a test, will be multiplication. 3 * 3 \u003d 9. Right? Absolutely.

So consider Example 12: 6. First, let's name each component in the example. 12 - dividend, that is. the number that is divided into parts. 6 is a divisor, this is the number of parts by which the dividend is divided. And the result will be a number called "quotient".

Divide 12 by 6, the answer will be the number 2. You can check the solution by multiplying: 2 * 6 \u003d 12. It turns out that the number 6 is contained 2 times in the number 12.

Division with remainder

What is division with remainder? This is the same division, only the result is not an even number, as shown above.

For example, divide 17 by 5. Since the largest number divisible by 5 to 17 is 15, the answer is 3 and the remainder is 2, and it is written like this: 17: 5 \u003d 3 (2).

For example, 22: 7. In the same way, we determine the maximum number divisible by 7 to 22. This number is 21. The answer then will be: 3 and remainder 1. And it is written: 22: 7 \u003d 3 (1).

Division by 3 and 9

A special case of division will be the division by the number 3 and the number 9. If you want to know whether the number is divided by 3 or 9 without a remainder, then you need:

Find the sum of the digits of the dividend.

Divide by 3 or 9 (whichever you want).

If the answer is obtained without a remainder, then the number will be divided without a remainder.

For example, the number 18. The sum of the digits is 1 + 8 \u003d 9. The sum of the digits is divisible by both 3 and 9. The number 18: 9 \u003d 2, 18: 3 \u003d 6. Divided without remainder.

For example, the number 63. The sum of the digits 6 + 3 \u003d 9. Divisible by both 9 and 3. 63: 9 \u003d 7, and 63: 3 \u003d 21. Such operations are carried out with any number to find out whether it is divisible with the remainder 3 or 9 or not.

Multiplication and division

Multiplication and division are opposite operations. Multiplication can be used as a test for division, and division as a test for multiplication. You can learn more about multiplication and master the operation in our article on multiplication. Which details the multiplication and how to do it correctly. There you will also find the multiplication table and examples for training.

Let's give an example of checking division and multiplication. Let's say the example is 6 * 4. Answer: 24. Then check the answer by division: 24: 4 \u003d 6, 24: 6 \u003d 4. Resolved correctly. In this case, the check is performed by dividing the answer by one of the factors.

Or an example is given for division 56: 8. Answer: 7. Then the check will be 8 * 7 \u003d 56. Right? Yes. IN in this case verification is done by multiplying the answer by the divisor.

Division 3 class

In the third grade, division is just beginning. Therefore, third-graders solve the simplest problems:

Problem 1... A factory worker was given the task of arranging 56 cakes in 8 packs. How many cakes do you need to put in each package to get the same quantity in each?

Problem 2... On New Year's Eve at school, children were given 75 sweets for a class in which 15 people study. How many candies should each child get?

Problem 3... Roma, Sasha and Misha collected 27 apples from the apple tree. How many apples will each get if they need to be divided equally?

Task 4... Four friends bought 58 cookies. But then they realized that they could not divide them equally. How many guys need to buy cookies so that everyone gets 15 pieces?

Division 4 class

The division in the fourth grade is more serious than in the third. All calculations are carried out by the method of division into a column, and the numbers that participate in the division are not small. What is long division? You can find the answer below:

Long division

What is long division? This is a method that allows you to find the answer to the division of large numbers. If prime numbers like 16 and 4 can be divided, and the answer is clear - 4. Then 512: 8 in the mind is not easy for a child. And to tell about the technique of solving such examples is our task.

Consider an example, 512: 8.

1 step... Let's write the dividend and divisor as follows:

The quotient will be written as a result under the divisor, and the calculations under the dividend.

Step 2... We start division from left to right. First, we take the number 5:

Step 3... Number 5 less number 8, and therefore cannot be divided. Therefore, we take one more digit of the dividend:

Now 51 is more than 8. This is an incomplete quotient.

Step 4... We put a dot under the divider.

Step 5... After 51 there is another number 2, which means there will be another number in the answer, that is. the quotient is a two-digit number. We put the second point:

Step 6... We start the division operation. The largest number that can be divided without a remainder by 8 to 51 is 48. Dividing 48 by 8, we get 6. Write the number 6 instead of the first dot under the divisor:

7 step... Then we write the number exactly under the number 51 and put the “-” sign:

Step 8... Then subtract 48 from 51 and get the answer 3.

* Step 9*. We demolish the number 2 and write next to the number 3:

Step 10 Divide the resulting number 32 by 8 and get the second digit of the answer - 4.

So the answer is 64, no remainder. If the number 513 were divided, then the remainder would be one.

Division of three-digit

Division of three-digit numbers is performed by long division, which was explained in the example above. An example of just the same three-digit number.

Division of fractions

Dividing fractions is not as difficult as it seems at first glance. For example, (2/3) :( 1/4). The method for this division is quite simple. 2/3 is the dividend, 1/4 is the divisor. You can replace the division sign (:) with multiplication ( ), but for this you need to swap the numerator and denominator of the divisor. That is, we get: (2/3)(4/1), (2/3) * 4, it equals - 8/3 or 2 integers and 2/3 Let's give another example, with an illustration for better understanding. Consider fractions (4/7) :( 2/5):

As in the previous example, flip the divisor 2/5 and get 5/2, replacing division with multiplication. We get then (4/7) * (5/2). We make a reduction and the answer: 10/7, then we take out the whole part: 1 whole and 3/7.

Dividing a number into classes

Imagine the number 148951784296, and divide it by three digits: 148 951 784 296. So, from right to left: 296 - class of units, 784 - class of thousands, 951 - class of millions, 148 - class of billions. In turn, in each class, 3 digits have their own category. From right to left: first digit is ones, second digit is tens, third is hundreds. For example, class of units is 296, 6 is units, 9 is tens, 2 is hundreds.

Division of natural numbers

Division of natural numbers is the simplest division described in this article. It can be with or without a remainder. Any non-fractional integer can be a divisor and a dividend.

Sign up for the course "Speeding Up Verbal Counting, NOT Mental Arithmetic" to learn how to quickly and correctly add, subtract, multiply, divide, square numbers and even extract roots. In 30 days, you will learn how to use light tricks to simplify arithmetic operations. Each lesson has new techniques, clear examples, and helpful assignments.

Division presentation

A presentation is another way to visually show the topic of division. Below we will find a link to a great presentation that explains well how to divide, what division is, what is the dividend, divisor and quotient. Don't waste your time, but consolidate your knowledge!

Division examples

Easy level

Average level

Difficult level

Games for the development of oral counting

Special educational games developed with the participation of Russian scientists from Skolkovo will help improve the skills of oral counting in an interesting way.

Game "Guess the operation"

The game "Guess the operation" develops thinking and memory. Main essence the game must choose a mathematical sign for the equality to be correct. There are examples on the screen, look carefully and put the required "+" or "-" sign so that the equality is correct. The "+" and "-" signs are located at the bottom of the picture, select the desired sign and click on the desired button. If you answered correctly, you collect points and keep playing.

Simplification game

Simplify develops thinking and memory. The main point of the game is to quickly perform a mathematical operation. A student is drawn on the screen at the blackboard, and a mathematical action is given, the student needs to calculate this example and write an answer. There are three answers below, count and click the number you need with the mouse. If you answered correctly, you collect points and keep playing.

Fast Add Game

The Fast Addition game develops thinking and memory. The main point of the game is to choose numbers, the sum of which is equal to a given number. This game is given a matrix from one to sixteen. A given number is written above the matrix, you need to select the numbers in the matrix so that the sum of these digits is equal to the given digit. If you answered correctly, you collect points and keep playing.

Game "Visual Geometry"

The game "Visual Geometry" develops thinking and memory. The main point of the game is to quickly count the number of painted objects and select it from the list of answers. In this game, blue squares are shown on the screen for a few seconds, they must be quickly counted, then they are closed. Below the table there are four numbers written, you need to select one correct number and click on it with the mouse. If you answered correctly, you collect points and keep playing.

Piggy bank game

The game "Piggy bank" develops thinking and memory. The main point of the game is to choose which piggy bank has more money. In this game you are given four piggy banks, you need to count which piggy bank has more money and show this piggy bank with the mouse. If you answered correctly, then you collect points and keep playing.

Fast Add Reload Game

The Rapid Addition Reloading game develops thinking, memory and attention. The main point of the game is to choose the correct terms, the sum of which will be equal to a given number. In this game, three numbers are given on the screen and a task is given, add the number, the screen indicates which number needs to be added. You select the desired numbers from three digits and press them. If you answered correctly, then you collect points and continue to play further.

Developing phenomenal oral counting

We've just covered the tip of the iceberg, to get a better understanding of math - sign up for our course: Speed \u200b\u200bup verbal counting - NOT mental arithmetic.

From the course, you will not only learn dozens of techniques for simplified and quick multiplication, addition, multiplication, division, percent calculation, but also work them out in special assignments and educational games! Verbal counting also requires a lot of attention and concentration, which are actively trained when solving interesting problems.

Speed \u200b\u200breading in 30 days

Increase your reading speed by 2-3x in 30 days. From 150-200 to 300-600 words per minute or from 400 to 800-1200 words per minute. The course uses traditional exercises for the development of speed reading, techniques that speed up the work of the brain, the method of progressively increasing the speed of reading, the psychology of speed reading and the questions of the course participants are discussed. Suitable for children and adults who read up to 5000 words per minute.

Development of memory and attention in a child 5-10 years old

The course includes 30 lessons with helpful tips and exercises for child development. In every lesson helpful advice, some interesting exercises, an assignment for the lesson and an additional bonus at the end: an educational mini-game from our partner. Course duration: 30 days. The course is useful not only for children, but also for their parents.

Super memory in 30 days

Memorize the necessary information quickly and for a long time. Wondering how to open a door or wash your hair? I am sure not, because this is part of our life. Easy and simple exercises to train your memory can be made a part of life and done a little during the day. If you eat your daily ration at a time, you can eat in portions throughout the day.

Brain fitness secrets, train memory, attention, thinking, counting

The brain, like the body, needs fitness. Exercise strengthens the body, mental exercises develop the brain. 30 days of useful exercises and educational games for developing memory, concentration, intelligence and speed of reading will strengthen the brain, turning it into a tough nut to crack.

Money and Millionaire Mindset

Why are there problems with money? In this course, we will answer this question in detail, look deep into the problem, consider our relationship with money from a psychological, economic and emotional point of view. From the course you will learn what you need to do to solve all your financial problems, start accumulating money and invest it in the future.

Knowledge of the psychology of money and how to work with it makes a person a millionaire. 80% of people with an increase in income take more loans, becoming even poorer. On the other hand, self-made millionaires will make millions again in 3-5 years if they start from scratch. This course teaches competent distribution of income and cost reduction, motivates to learn and achieve goals, teaches to invest and recognize a scam.

With the best free game learns very quickly. Check it out for yourself!

Learn multiplication table - game

Try our tutorial electronic game... Using it, you will be able to solve math problems in the classroom at the blackboard without answers tomorrow, without resorting to a sign to multiply the numbers. One has only to start playing, and in 40 minutes there will be an excellent result. And to consolidate the result, train several times, not forgetting to take breaks. Ideally, every day (save the page so you don't lose it). Game form The simulator is suitable for both boys and girls.

See the full cheat sheet below.

Multiplication directly on the site (online)

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Multiplication table (numbers from 1 to 20)

×	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
1	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
2	2	4	6	8	10	12	14	16	18	20	22	24	26	28	30	32	34	36	38	40
3	3	6	9	12	15	18	21	24	27	30	33	36	39	42	45	48	51	54	57	60
4	4	8	12	16	20	24	28	32	36	40	44	48	52	56	60	64	68	72	76	80
5	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80	85	90	95	100
6	6	12	18	24	30	36	42	48	54	60	66	72	78	84	90	96	102	108	114	120
7	7	14	21	28	35	42	49	56	63	70	77	84	91	98	105	112	119	126	133	140
8	8	16	24	32	40	48	56	64	72	80	88	96	104	112	120	128	136	144	152	160
9	9	18	27	36	45	54	63	72	81	90	99	108	117	126	135	144	153	162	171	180
10	10	20	30	40	50	60	70	80	90	100	110	120	130	140	150	160	170	180	190	200
11	11	22	33	44	55	66	77	88	99	110	121	132	143	154	165	176	187	198	209	220
12	12	24	36	48	60	72	84	96	108	120	132	144	156	168	180	192	204	216	228	240
13	13	26	39	52	65	78	91	104	117	130	143	156	169	182	195	208	221	234	247	260
14	14	28	42	56	70	84	98	112	126	140	154	168	182	196	210	224	238	252	266	280
15	15	30	45	60	75	90	105	120	135	150	165	180	195	210	225	240	255	270	285	300
16	16	32	48	64	80	96	112	128	144	160	176	192	208	224	240	256	272	288	304	320
17	17	34	51	68	85	102	119	136	153	170	187	204	221	238	255	272	289	306	323	340
18	18	36	54	72	90	108	126	144	162	180	198	216	234	252	270	288	306	324	342	360
19	19	38	57	76	95	114	133	152	171	190	209	228	247	266	285	304	323	342	361	380
20	20	40	60	80	100	120	140	160	180	200	220	240	260	280	300	320	340	360	380	400

How to multiply numbers with a column (video on math)

To practice and learn quickly, you can also try to multiply numbers with a column.