Would you like to go to the market and not make a mistake when paying? Do you think that they always give you less in change? You will find the solution by learning to double numbers or multiply.
Doubling the numbers is one of the fundamentals in the learning of each one of the human beings. From an early age we must know the linguistic and mathematical codes, since they are part of our daily life.
Learning to speak, write and read are principles of the cognitive development of each boy or girl, in such a way that; Knowing about grammar, their language of origin is a fundamental aspect for the growth of youngsters. In the same way, knowing mathematics, learning to add, learning to subtract or, in this case, learning to multiply is essential for the development and development in the day to day of all people.
In this sense, the multiplication tables become part of the daily life of the person. Since the creation of the earth and of man, numbers have always been present; even, according to the theory of creation, God needed 6 days to create the heavens, the earth and man, plus 1 day to rest; this is equal to 7. In such a way that God used a multiple of 7 days to finish his phase of creation of humanity.
Another theory states that the earth went through a biologically evolutionary process, through natural selection; as affirmed by the theory of the origin of the species in 1859 carried out by Charles Darwin. In which, the scientist establishes that all living things have evolved by multiplying from a common ancestor. This interesting background of the mathematical operation known as multiplication; it also shows us in a numerical way the growing process that man had to get to what he is today.
Origin of multiplication
Did you know that The multiplication of numbers manifests itself from the beginning of creation. However, this mathematical rule is known approximately 2600 years BC; when the Sumerian civilization invented the multiplication tables made with clay and used for daily life. Likewise, the Egyptian civilization used another method known as multiplication by doubling.
Pythagoras, a Greek philosopher, is the one who shows us the way of multiplying that we use today through the development of three properties: commutative, associative, and distributive property. The term multiplication comes from the Latin multus, which means a lot, and plico, which is equivalent to doubling. In such a way that multiplication consists of doubling or repeating the amount of numbers.
Basically, so you don’t have to mess around with this definition thing, it’s a repeated addition. For example: in 3 x 2, what we do is that we add 3 to itself 2 times. The sum of 3 + 3 gives us 6 (3×2=6) or (3+3=6); This mathematical operation is distributed into factors called multiplicand and multiplier, where 3 is the multiplicand factor and 2 is the multiplier factor. Thus, the result of this operation is known as product.
In this sense, the number 3 is the multiplying factor, 2 is the multiplying factor and 6 is the product or result of the operation (3×2=6). On the other hand, x is a mathematical symbol that is used to identify that the operation is a multiplication, it can also be with a point ( · ), (3·2=6).
In such a way that: in daily life since we go to school, to the market or anywhere where we have to do mathematical operations, we are faced with multiplication. Therefore, the great importance of knowing simple learning and teaching methods so that children, adolescents and adults can perform numerical operations quickly and efficiently.
Instructions
It is important to establish easy strategies to teach multiplication tables, in such a way that learning is faster to grasp and above all more enjoyable.
For this, we offer you several tips that will facilitate your work when teaching the multiplication tables to others and so that you can learn them yourself.
- You can use the method of the commutative property; which indicates that the order of the numbers that is used in the operations does not alter the result of the same (5+2=7) or (2+5=7), (5×2=10) or (2×5 =10). In this way, you will be able to learn the multiplication tables with less effort and very quickly.
- That being said, we know that 2×4=4×2. If we explain this property to others, they will already know when they study the multiplication tables that 2×4 is equal to 4×2, because it has the same result. This means that by studying half of the tables and consciously applying the commutative property, you will get twice as many results.
- Another interesting technique is that when you are studying the tables upside down and upside down. On the right it is in the classical way (2×0=0, 2×1=2, 2×2=4, 2×3=6) and the reverse is by applying the commutative property (0x2=0, 1×2=2, 2×2=4, 3×2=6). By studying both tables, you will also be learning all the other tables where the number 2 appears. Thus, you will be saving 50% of study time.
- You have to plan a specific study methodology, so that you obtain the maximum result with the minimum effort. Study a maximum of 15 minutes twice a day, for example.
- Also, you can have the multiplication tables divided into pieces of a maximum of three or four figures for each of the pieces (0x2=0, 1×2=2, 2×2=4, 2×3=6); (2×4=8, 2×5=10, 2×6=12, 2×7=14); (2×8=16, 2×9=18, 2×10=20). First, you must study the first piece and when you know it you must go to the next, repeating the first and so on.
- Once you memorize that table, you must repeat it three times a day to show that you effectively keep it in long-term memory.
- Organize the study of the tables in an appropriate order in fundamental. Not every order in the tables guarantees learning with the same ease.
- First study the 0 table (0x1=0, 0x2=0, 0x3=0). Later that of 1 (1×0=0, 1×1=1, 1×2=2, 1×3=3) and then that of 10 (10×0=0, 10×1=10, 10×2 =20, 10×3=30) are the three easiest tables and you can learn it in 5 minutes.
- Second, learn the table of 2 (2×0=0, 2×1=2, 2×2=4, 2×3=6); then comes the table of twins or doubles, that is, each number multiplied by itself (0x0=0, 1×1=1, 2×2=4, 3×3=9).
- Next, you must study the table of 3, 4, 5 and in the table of five we stop for a moment. Due to the study of the commutative property in this table of 5, you only have to study 4 unknown figures (5×6=30, 5×7=35, 5×8=40, 5×9=45); because they already know the other figures by the commutative property.
- Later, study the table of 6, where they will only have to study 3 new numbers (6×6=36, 6×7=42, 6×8=48). Then the table of 7, in which you only have to study 2 numbers (7×8=56, 7×9=63). After this, comes the one for 8, where only one number will be studied (8×9=72).
- Finally, when they get to the 9, they don’t have to study any numbers by applying the commutative property. Come on, you will notice how you already master them all.
Solved exercise
Suppose you are walking down the street and it provokes you to eat an ice cream. It turns out that it is worth about 20 euros and you want to pay with the bills that make you bulkiest. So, you remember that you bring a lot of 5 euro bills with you, but no idea how much they will be.
Therefore, to avoid having to count by fives, which is later, you just have to ask yourself what number that multiplied by five gives you 20 or close to 20.
This would be 5 x 4 = 20. So now you can say that you only need 4 five euro bills to complete the 20 euro worth of ice cream. In this way, instead of counting by fives until you reach 20, you will count 4 bills of 5 euros to pay for your ice cream.
If you want to learn to count money quickly you can use this technique, because you are also reviewing the multiplication tables.
What do you need:
- Pencil.
- White sheets.
- Notebooks.
- Pens.
- Crayons.
- Markers.
- Cardboard.
- Blackboard
- Provision.
Tips
Because in everyday life we are presented with calculation problems on a daily basis, it is necessary to learn the multiplication tables for life. Knowing mathematical learning methods and specific multiplication tables will make it easier for you to solve problems when you go to the market, look for discounts, divide a cake and an endless number of situations.
In addition, it helps you to know exactly what is the change that corresponds to us when paying for any product or if we are going to do business with foreign currencies.
With this series of techniques that we present to you, you will be able to implement your own study method. It is very easy to learn to multiply; You just have to apply the steps correctly and practice them at work, at school, with your friends, with your family. You will see how in a very short time the multiplication tables will stay with you for the rest of your life.