Problems on the topic: "Multiplication of numbers. Multiplication table"
Additional materials
Dear users, do not forget to leave your comments, reviews, wishes. All materials have been checked by an anti-virus program.
Teaching aids and simulators in the Integral online store for grade 2
Mathematics, Russian, computer science for grades 1-4, educational simulators "MIR"
"Mathematics - a treasure trove of knowledge", teaching aid for elementary school
Multiplying numbers
1. Look at the pictures and make up examples of addition and multiplication.
B) 
2. Replace addition with multiplication and solve the examples.
| 5 + 5 + 5 = | 6 + 6 = | 8 + 8 + 8 + 8 = | 3 + 3 + 3 = |
| 4 + 4 + 4 = | 5 + 5 + 5 + 5 + 5= | 6 + 6 = | 3 + 3 + 3 + 3 + 3 + 3= |
3. Based on the drawing, make up word problem, which is solved by multiplication.
Problem solving
1. Mitya lives in a seven-story building. The height of each floor is three meters. Determine the height of the house in which Mitya lives, in meters.
2. The workers installed 6 fence posts. The distance between the pillars is four meters. What is the length of the fence?
3. One package contains 8 handkerchiefs. How many handkerchiefs are there in seven packages?
4. 9 cars arrived at the health camp. There were 4 children in each car. How many children were brought to the camp?
5. Raspberry bushes grow in the garden. They are planted in 8 rows of 5 bushes in each row. How many raspberry bushes are there in the garden?
6. There are 8 tables in the school canteen. There are 54 chairs around each table. How many chairs are there in the dining room?
7. There are 8 rows of cars parked in the car park. How many cars are there in the parking lot if 7 cars fit in one row?
8. A column of soldiers is marching across the square. The column consists of nine rows of eight soldiers in each row. How many soldiers are there in the column?
9. Kolya has 7 binders of the Murzilka magazine. Each binder contains 6 magazines. How many Murzilka magazines does Kolya have?
10. 7 years old Pasha collects ninja turtles. Every year he collects 5 collections. How many collections does Pasha have in total?
11. Dad brought 4 bags of apples from the market, each bag contains 11 apples. How many apples did dad bring?
Multiplication table
1. Do the multiplication.
| 9 * 2 = | 7 * 4 = | 8 * 6 = | 3 * 9 = |
| 6 * 5 = | 6 * 7 = | 7 * 4 = | 8 * 2 = |
| 5 * 9 = | 8 * 8 = | 7 * 7 = | 8 * 3 = |
| 8 * 5 = | 4 * 4 = | 6 * 3 = | 5 * 4 = |
2. Replace the product with a sum and solve the examples.
| 4 * 9 = | 5 * 8 = | 6 * 7 = | 7 * 6 = |
| 8 * 5 = | 6 * 4 = | 5 * 3 = | 4 * 2 = |
| 8 * 5 = | 3 * 4 = | 2 * 3 = | 9 * 2 = |
Topic: Multiplication and division tables by 2. (Reinforcement lesson)
Goal: strengthening computational skills in multiplication and division tables.
Lesson objectives:
1. Consolidate knowledge of multiplication and division tables; develop the ability to solve compound problems; continue to build computing skills.
2. Develop logical and economic thinking; ability to draw conclusions and generalize.
3. Working in groups, cultivate such personality qualities as cooperation, mutual assistance, tolerance; respect for work and working people.
Lesson type : a lesson in improving and consolidating skills.
During the classes.
1. Organizational moment. Psychological attitude students.
The bell rang and class began.
- Guys,imagine that your palms are a small mirror, look into it, smile at yourself - you see how cute and smart you are! Look at each other, smile, and your mood will be cheerful and upbeat, you will want to learn new things, because it is so interesting!
There lived a sage who knew everything. One man decided to prove that the sage does not know everything. Holding a butterfly in his palms, he asked: “Tell me, sage, which butterfly is in my hands: dead or alive?” And he himself thinks: “If the living one says, I will kill her, if the dead one says, I will release her.” The sage, after thinking, replied: “Everything is in your hands.”
Your knowledge is also in your hands. Let us prove this with our work in class.
(Slide 1)
II. Updating basic knowledge.
To work quickly and deftly
We need mental training.
a) Which number is the odd one out?(Slide 2)
What task do you need to do with numbers? (Remove extra number)
7 14 21 27 28 35 42 49
5 10 11 15 20 25 30 35
4 8 12 16 17 20 24 28
What knowledge did you need to complete the task? (Multiplication tables)
Assessment.
b) Say the word.
I invite you to find out the topic of today's lesson by asking questions.
1. An action that can replace the sum of identical terms (multiplication)
2. The number being divided by (divisor)
3. The number that is being divided (divisible)
4. Result of multiplication (product)
5. Result of division action (quotient)
6. Multiplication action component (multiplier)
Slide 3. Assessment.
III. Independent formulation of the topic and purpose of the lesson. Target setting to class.
Who guessed what the topic of the lesson is?
Multiplication and division table.
Guys, what goal will we set for ourselves?
Slide 4
Today we will consolidate our knowledge of the multiplication and division tables, we will use the table to solve problems, equations, and find the value of an expression.
Problematic question.
Do you think it’s possible to learn something new by repeating and reinforcing? We need to figure it out.
4. Oral counting
1. Statement of the problem. Mystery.
To find out what we will talk about today, you will need to guess the Russian folk riddle“There’s a bunch of piglets lying there, and whoever touches them will squeal.” Doubt the answer? Now we will solve this problem by performing calculations.
Slide 5
What's in front of us? (block diagram)
How will we perform the calculations? (according to algorithm)
What is an algorithm? (perform actions in order)
Write down the numbers 13, 4, 8, 17, 5 in ascending order (4, 5, 8, 13, 17)
Slide 6
What word did you get? (bees)
Who else will we talk about in class?
Assessment.
Slide 7
Guys, bees are tireless workers. And the agricultural industry is beekeeping. What does this industry do? (keeping bees)
What profession does a person engage in beekeeping? (beekeeper).
Guys, do you have a beekeeper in your village?
Do you think he knows everything about bees? (Yes)
The main thing in this profession is that the beekeeper must know everything about bees.
What do you know about bees?
Unfortunately, we cannot know everything about bees, but we will try to find out as much as possible. I'm sure you will succeed.
Today one of the bees will accompany us in class. So, let's go get the bee.
Work in pairs. Finding the value of expressions with variables.
- Our road starts from the hive. There are usually many hives in an apiary. Each hive has its own entrance - an entrance. In order to open the entrance, we need to complete the task. What goal will we set for completing this task? (execute variable expressions) -What is a variable expression?
| s:2 |
| C*2 |
Assessment. Mutual check and self-check against the standard.
Slide 8
You know the multiplication and division tables very well, the entrance to the hives is open and it is no coincidence that our hives turned out to be exactly these colors. (Yellow, blue, white). The bee simply does not distinguish other colors. But she sees ultra-violet rays, which are beyond our eyes.
IV. Logical task.
Do you know how many eyes a bee has? (No)
Let's do the math orally.
A bee has as many eyes as you have, again as many, and half as many more. (A bee has 5 eyes. 2 large ones, which in turn consist of 10 thousand eyes, and are located on the sides of the head and 3 small ones on the forehead between them)
V. Work on consolidating the material covered.
1. Mathematical dictation. Work in notebooks.
Beekeepers usually assign their own numbers to the hives in the apiary. There are such numbers in our apiary. - But we will find out when we complete the task. Write down only the answers.
1) Product of numbers 2 and 4
2) Increase 2 by 9 times
3) How many times is 14 greater than 2
4) 1 factor is 2, the second is the same. Work?
5) Reduce 20 by 2 times
6) What number was halved if you got 5?
7) How much did you multiply 8 if you got 16?
Slide 9
8 18 7 4 10 10 2
Assessment. Peer review from the slide.
2. Speech about bees. (Ruban Vanya.)
Hello guys! I'm a worker bee. We produce wax, propolis, the most valuable medicine - honey and bee bread. Perga is bee bread made from pollen and nectar. We, the bees, eat it.
What do you know about the bee family? (The main one in the bee family is the queen - she is the queen. The rest of the bees are workers. They do the work of guards, cell cleaners, fans, nectar collectors, cell builders. Drones also live with them, which do nothing, but are needed for procreation.)
3. Writing expressions and finding their values. Slide 10
It's time for the bee to go to work. What time does a student’s working day start? (8 hours) How do you determine time? (by the hour)
The bee has a good sense of time. For this she does not need either a watch or the sun. She needs flowers. She flies out whenThe flower clock starts working.
How do you understand my words?
So we will work with colors and find the meanings of expressions. First number in mathematical expression shows the time when the flower “wakes up”, the answer you found is when it “falls asleep”.
What is important to know to complete this task? (procedure)
Rosehip 2*7-10:2=
Mac 5+ 7*2 - 11=
Assessment. Peer review.
4. The task of finding the perimeter of a rectangle. Slide 11
What do we see on the slide? (frame)
Why does a beekeeper need it?
What kind of work can we do? (find the sides and perimeter of the rectangle).
S - 12 dm2
Length - 3 dm
What formulas helped?
Formulas for finding perimeter and area.
What else helped?
Multiplication and division table.
5. Differentiated work.
Work from textbook No. 2 (strong students) Peer review.
Work with cards (weak students) Self-test.
5. Working on the task. (Cards)
Bees are such hard workers! And we will solve the problem about them.
Read the problem, there are several possible solutions to it. You need to choose one correct solution, mark it with a plus. Explain your choice.
Task . Uncle Vitya pumped out 7 kg of honey from one hive, and 2 times more from the other. How many kg of honey did Uncle Vitya pump out from two hives?
Slide 12
VII. Lesson summary.
Our lesson is coming to an end. At the beginning of the lesson, I asked you if it was possible to learn something new during the repetition and consolidation lesson. What conclusion did you come to?
What new did you learn in the lesson? (industry - beekeeping, profession - beekeeper. The more bees fly to work, the greater the harvest we will reap, the more beautiful our Earth will be with fragrant flowers.) - What did you learn?
Our bee thanks you for your work.
Did you enjoy collaborating, working in pairs, collectively?
You, too, worked like bees today, and I really enjoyed working with you.
And multiplication. Just about the operation of multiplication and we'll talk In this article.
Multiplying numbers
Multiplication of numbers is mastered by children in the second grade, and there is nothing complicated about it. Now we will look at multiplication with examples.
Example 2*5. This means either 2+2+2+2+2 or 5+5. Take 5 twice or 2 five times. The answer, accordingly, is 10.
Example 4*3. Likewise, 4+4+4 or 3+3+3+3. Three times 4 or four times 3. Answer 12.
Example 5*3. We do the same as the previous examples. 5+5+5 or 3+3+3+3+3. Answer 15.
Multiplication formulas
Multiplication is a sum identical numbers, for example, 2 * 5 = 2 + 2 + 2 + 2 + 2 or 2 * 5 = 5 + 5. Multiplication formula:
Where, a is any number, n is the number of terms of a. Let's say a=2, then 2+2+2=6, then n=3 multiplying 3 by 2, we get 6. Consider in reverse order. For example, given: 3 * 3, that is. 3 multiplied by 3 means that three must be taken 3 times: 3 + 3 + 3 = 9. 3 * 3=9.
Abbreviated multiplication
Abbreviated multiplication is a shortening of the multiplication operation in certain cases, and formulas for abbreviated multiplication were derived specifically for this purpose. Which will help make calculations the most rational and fastest:
Abbreviated multiplication formulas
Let a, b belong to R, then:
The square of the sum of two expressions is equal to the square of the first expression plus twice the product of the first expression and the second plus the square of the second expression. Formula: (a+b)^2 = a^2 + 2ab + b^2
The square of the difference of two expressions is equal to the square of the first expression minus twice the product of the first expression and the second plus the square of the second expression. Formula: (a-b)^2 = a^2 - 2ab + b^2
Difference of squares two expressions is equal to the product of the difference of these expressions and their sum. Formula: a^2 - b^2 = (a - b)(a + b)
Cube of sum two expressions equal to cube the first expression plus triple the product of the square of the first expression and the second plus triple the product of the first expression and the square of the second plus the cube of the second expression. Formula: (a + b)^3 = a^3 + 3a(^2)b + 3ab^2 + b^3
Difference cube two expressions is equal to the cube of the first expression minus triple the product of the square of the first expression and the second plus triple the product of the first expression and the square of the second minus the cube of the second expression. Formula: (a-b)^3 = a^3 - 3a(^2)b + 3ab^2 - b^3
Sum of cubes a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Difference of cubes two expressions is equal to the product of the sum of the first and second expressions and the incomplete square of the difference of these expressions. Formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Sign up for the course "Speed up mental arithmetic, NOT mental arithmetic"to learn how to quickly and correctly add, subtract, multiply, divide, square numbers and even take roots. In 30 days you will learn how to use easy tricks to simplify arithmetic operations. Each lesson contains new techniques, clear examples And useful tasks.
Multiplying fractions
Considering the addition and subtraction of fractions, the rule was raised for bringing fractions to common denominator to perform the calculation. When multiplying this do No need! When multiplying two fractions, the denominator is multiplied by the denominator, and the numerator by the numerator.
For example, (2/5) * (3 * 4). Let's multiply two thirds by one quarter. We multiply the denominator by the denominator, and the numerator by the numerator: (2 * 3)/(5 * 4), then 6/20, make a reduction, we get 3/10.
Multiplication 2nd grade
The second grade is just the beginning of learning multiplication, so second graders solve simple problems to replace addition with multiplication, multiply numbers, and learn the multiplication table. Let's look at multiplication problems at the second grade level:
Oleg lives in a five-story building, on the top floor. The height of one floor is 2 meters. What is the height of the house?
The box contains 10 packages of cookies. There are 7 of them in each package. How many cookies are in the box?
Misha arranged his toy cars in a row. There are 7 of them in each row, but there are only 8 rows. How many cars does Misha have?
There are 6 tables in the dining room, and 5 chairs are pushed behind each table. How many chairs are there in the dining room?
Mom brought 3 bags of oranges from the store. The bags contain 22 oranges. How many oranges did mom bring?
There are 9 strawberry bushes in the garden, and each bush has 11 berries. How many berries grow on all the bushes?
Roma laid 8 pipe parts one after another, each of the same size, 2 meters each. What is the length of the complete pipe?
Parents brought their children to school on September 1st. 12 cars arrived, each with 2 children. How many children did their parents bring in these cars?
Multiplication 3rd grade
In third grade, more serious tasks are given. In addition to multiplication, the same will be done Division.
Among the multiplication tasks will be: multiplication double digit numbers, multiplication by column, replacing addition with multiplication and vice versa.
Column multiplication:
Column multiplication is the easiest way to multiply large numbers. Let's consider this method using the example of two numbers 427 * 36.
1 step. Let's write the numbers one below the other, so that 427 is at the top and 36 at the bottom, that is, 6 under 7, 3 under 2.
Step 2. We begin multiplication with the rightmost digit of the bottom number. That is, the order of multiplication is: 6 * 7, 6 * 2, 6 * 4, then the same with three: 3 * 7, 3 * 2, 3 * 4.
So, first we multiply 6 by 7, answer: 42. We write it this way: since it turned out 42, then 4 are tens, and 2 are units, the recording is similar to addition, which means we write 2 under the six, and 4 we add the number 427 to the two.
Step 3. Then we do the same with 6 * 2. Answer: 12. The first ten, which is added to the four of the number 427, and the second - ones. We add the resulting two with the four from the previous multiplication.
Step 4. Multiply 6 by 4. The answer is 24 and add 1 from the previous multiplication. We get 25.
So, multiplying 427 by 6, the answer is 2562
REMEMBER! The result of the second multiplication should begin to be written under SECOND number of the first result!
Step 5. We perform similar actions with the number 3. We get the multiplication answer 427 * 3=1281
Step 6. Then we add up the obtained answers during multiplication and get the final multiplication answer 427 * 36. Answer: 15372.
Multiplication 4th grade
The fourth grade is already multiplication only large numbers. The calculation is performed using the column multiplication method. The method is described above in accessible language.
For example, find the product of the following pairs of numbers:
- 988 * 98 =
- 99 * 114 =
- 17 * 174 =
- 164 * 19 =
Presentation on multiplication
Download a presentation on multiplication with simple tasks for second graders. The presentation will help children better navigate this operation, because it is written colorfully and in a playful style - in the best option for teaching a child!
Multiplication table
Every student in the second grade learns the multiplication table. Everyone should know it!
Sign up for the course "Speed up mental arithmetic, NOT mental arithmetic" to learn how to quickly and correctly add, subtract, multiply, divide, square numbers and even extract roots. In 30 days, you'll learn how to use easy tricks to simplify arithmetic operations. Each lesson contains new techniques, clear examples and useful tasks.
Examples for multiplication
Multiplying by one digit
- 9 * 5 =
- 9 * 8 =
- 8 * 4 =
- 3 * 9 =
- 7 * 4 =
- 9 * 5 =
- 8 * 8 =
- 6 * 9 =
- 6 * 7 =
- 9 * 2 =
- 8 * 5 =
- 3 * 6 =
Multiplying by two digits
- 4 * 16 =
- 11 * 6 =
- 24 * 3 =
- 9 * 19 =
- 16 * 8 =
- 27 * 5 =
- 4 * 31 =
- 17 * 5 =
- 28 * 2 =
- 12 * 9 =
Multiplying two-digit by two-digit
- 24 * 16 =
- 14 * 17 =
- 19 * 31 =
- 18 * 18 =
- 10 * 15 =
- 15 * 40 =
- 31 * 27 =
- 23 * 25 =
- 17 * 13 =
Multiplying three-digit numbers
- 630 * 50 =
- 123 * 8 =
- 201 * 18 =
- 282 * 72 =
- 96 * 660 =
- 910 * 7 =
- 428 * 37 =
- 920 * 14 =
Games for developing mental arithmetic
Special educational games developed with the participation of Russian scientists from Skolkovo will help improve skills oral counting in an interesting playful way.
Game "Quick Count"
The game "quick count" will help you improve your thinking. The essence of the game is that in the picture presented to you, you will need to choose the answer “yes” or “no” to the question “are there 5 identical fruits?” Follow your goal, and this game will help you with this.
Game "Mathematical matrices"
"Mathematical Matrices" is great brain exercise for kids which will help you develop his mental work, mental calculation, quick search necessary components, care. The essence of the game is that the player has to find a pair from the proposed 16 numbers that in total will give given number, for example, in the picture below, the given number is “29”, and the desired pair is “5” and “24”.
Game "Number Span"
A game " numerical coverage" will load your memory while practicing this exercise.
The essence of the game is to remember the number, which takes about three seconds to remember. Then you need to play it back. As you progress through the stages of the game, the number of numbers increases, starting with two and further.
Game "Guess the operation"
The game “Guess the Operation” develops thinking and memory. The main point games need to be selected mathematical sign so that the equality is true. There are examples on the screen, look carefully and put the right sign"+" or "-" so that the equality is true. 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 score points and continue playing.
Game "Simplification"
The game “Simplification” develops thinking and memory. The main essence of the game is to quickly perform a mathematical operation. A student is drawn on the screen at the blackboard, and given mathematical operation, the student needs to calculate this example and write the answer. Below are three answers, count and click the number you need using the mouse. If you answered correctly, you score points and continue playing.
Game "Quick addition"
A game " Quick addition» develops thinking and memory. The main essence of the game is to choose numbers whose sum is equal to a given number. In this game, a matrix from one to sixteen is given. Above the matrix it is written given number, you need to select the numbers in the matrix so that the sum of these numbers is equal to the given number. If you answered correctly, you score points and continue playing.
Visual Geometry Game
A game " Visual geometry» develops thinking and memory. The main essence of the game is to quickly count the number of shaded objects and select it from the list of answers. In this game, blue squares are shown on the screen for a few seconds, you need to quickly count them, then they close. There are four numbers written below the table, you need to choose one correct number and click on it with the mouse. If you answered correctly, you score points and continue playing.
Game "Mathematical Comparisons"
A game " Mathematical comparisons» develops thinking and memory. The main essence of the game is to compare numbers and mathematical operations. In this game you need to compare two numbers. At the top there is a question written, read it and answer the question correctly. You can answer using the buttons below. There are three buttons “left”, “equal” and “right”. If you answered correctly, you score points and continue playing.
Development of phenomenal mental arithmetic
We have looked at only the tip of the iceberg, to understand mathematics better - sign up for our course: Accelerating mental arithmetic.
From the course you will not only learn dozens of techniques for simplified and fast multiplication, addition, multiplication, division, calculating percentages, but you will also practice them in special tasks and educational games! Mental arithmetic also requires a lot of attention and concentration, which are actively trained when solving interesting tasks.
Speed reading in 30 days
Increase your reading speed by 2-3 times 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 brain function, methods for progressively increasing reading speed, the psychology of speed reading and questions from course participants. Suitable for children and adults reading up to 5000 words per minute.
Development of memory and attention in a child 5-10 years old
The course includes 30 lessons with useful tips and exercises for children's development. In every lesson helpful advice, several 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
Remember necessary information quickly and for a long time. Wondering how to open a door or wash your hair? I’m sure not, because this is part of our life. Light and simple exercises To train your memory, you can make it a part of your life and do it a little during the day. If eaten daily norm meals at a time, or you can eat in portions throughout the day.
Secrets of brain fitness, training memory, attention, thinking, counting
The brain, like the body, needs fitness. Physical exercise strengthen the body, mentally develop the brain. 30 days useful exercises and educational games to develop memory, concentration, intelligence and speed reading will strengthen the brain, turning it into toughie.
Money and the 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 psychological, economic and emotional points vision. From the course you will learn what you need to do to solve all your financial problems, start saving 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 take out more loans as their income increases, becoming even poorer. On the other hand, self-made millionaires will earn millions again in 3-5 years if they start from scratch. This course teaches you how to properly distribute income and reduce expenses, motivates you to study and achieve goals, teaches you how to invest money and recognize a scam.
