Counting Tricks: Some Important Mathematical ConceptssteemCreated with Sketch.

in #mathematics7 years ago


Image source: pixabay.com
Welcome to Arithmetic post. What is Arithmetic? Surely some of us already know what is Arithmetic, or maybe also some do not know what is meant by Arithmetic, Arithmetic is various types of tricks or tricks of addition, subtraction, multiplication, and division that can be done faster than we ever did. These moves can be done without the use of pencil and paper, but directly done outside the head without having to think long. Sometimes we will get answers faster than using a calculator.

As a math whiz, you can also make our friends and family amazed. You will get a very good score every time you follow a Mathematics repetition, and you will learn to love work related to the numbers.


Now, maybe you want to know the answer "why should I learn to do all the tasks with hard thinking, while I can use a calculator?"

Here are the circumstances that allow you to do Arithmetic help:


  • When you're in a store, somewhere far from home, or away from school and you do not have a calculator;

  • When you want to look smart. Just imagine, how embarrassed if asked multiplication 2 x 3, do you have to use a calculator to get the answer? Now, imagine how proud and wonderful you are if asked 32 : 5, you can answer quickly and accurately;

  • When you want to do the count in secret. For example, you imagine a store cashier asking you too much money or giving you a small refund. It made the cashier shame. However, if you recalculate with your calculator, it will obviously take a lot of time;

  • When your calculator is damaged or the battery runs out;

  • When you are not allowed to use a calculator, for example when taking certain tests;

  • When you want answers quickly. Many of the counts you can finish off the head faster than the calculator. Again, you must know and understand the secrets;


If you work with Arithmetic, consider the following:

  • You have to practice, practice, and practice Arithmetic stances, which I will give details one by one in my next post. Mastering Mathematics quickly cannot be done for just one day. However, you can do all the time with a happy atmosphere;

  • You may be unaware of having used some of the moves. There is a student of mine who is studying the sum. I see that the number of 8 + 7 students takes almost no time. When I asked him how he was so quick able to answer the sum. He replied, "I know that 8 + 8 = 16 so 8 + 7 must be 16 minus 1". The cause is no other. he uses a mental Math stance;

  • The more ways you master, the more often you show your mental Mathematics. However, do not expect you will be able to learn all the moves within a day or a week. You only have one or two moves per day.

  • You must save your calculator immediately when you start working with these Arithmetic concepts.


Source: pixabay.com

To become a math mentor, we do not have to be Einstein. We need only a basic understanding of addition, subtraction, multiplication, and division. For some moments, we must also understand about fractions and decimals.


To master Arithmetic, we must first learn some concepts that exist in Math.
Some Important Mathematical Concepts:


  • The Value Place concept

We need to understand the meaning of each digit of a number. For example, the numbers 437 and 374 have the same digit number. But the two numbers do not show the same number because the digits have different "place values".
At number 437, the number "7" is the unit. This equals 7 x 1 or 7. The number "3" is dozens. this is equal to 3 x 10 or 30. The number "4" is hundreds. This is equal to 4 x 100 or 400. Thus, the number 437 can be defined as 400 + 30 + 7. However, the number 374 equals 300 + 70 + 4.

Place value also applies to decimal places. Let's look at the numbers 5.29. The number "5" is the unit, and equals 5 x 1 or 5. The number "2" is the tenth. this equals 2 x 1/10, or 2/10. The number "9" is hundredth. This equals 9 x 1/100, or 9/100. Thus, the number 5.29 equals 5 + 2/10 + 9/100. Or it could be written 5 + 29/100.

  • Different Steps to Show the Same Rate

There are certain moments in writing numbers without changing the value. Mri we take the number 58. This number we can write to 58.0; 58.00; and so on, and the value is still 58. This number can also be written 058; 0058, and so on. The value is still 58. (Nevertheless, unusual number 58 is written 058 or 0058.)

  • Numbers Can Be Summed In Various Arrangements

We can add up a number of numbers in various arrangements with the same result. For example, the sum of 32 + 19 + 66 can also be written 66 + 32 + 19, or by four other means and still produce the same result, i.e. 117.

  • Numbers Can Be Multiplied In Various Arrangements

We can also multiply several numbers in several layers but still produce the same number. For example, an 8 x 13 multiplication can also be written 13 x 8 to produce an answer 104.

  • What is the Meaning of Squares of a Number?

When squaring a number, we multiply the two numbers themselves. For example, 8 2 </ sup> (called quadratic 8) equals 8 x 8, or 64.

  • Subtraction is the opposite of sum

A subtraction can be interpreted as the inverse of the sum. For example, 14 + 7 = 21. In other words, we can say that 21 - 7 = 14, and 21 - 14 = 7.

  • Division is the opposite of multiplication

The division can be interpreted as the opposite of multiplication. For example, 6 x 9 = 54. In other words, we can say that 54: 9 = 6, and 54: 6 = 9.

  • Division Can Be Shown In Three Different steps

We can show the division in three different ways. For example, 13 divided by 2 can be written to 13: 2 or 13/2. At school, we might learn that 13: 2 = 6 remainder 1. However, the answer is usually written 6.5 or 6 1/2.

  • How to Relationship between Decimal and Fractional

Numbers may be integers, such as 7, 18, and 206. Or the number is a number that lies between two integers, for example, 81.7 and 36 3/4.
As has been pointed out above that decimals and fractions are used to denote the part of a single integer. We need to know that what is the meaning and how a fraction can be represented as a decimal or otherwise.

  • Quick Exercises

Whenever completing a calculation, we should always check it quickly to see if our answer is correct. For example, suppose we have done the sum of 93 by 98 and got the result 201. You must know that the two numbers are less than a hundred. So, the amount is certainly less than 200. Therefore, the number 201 is too much. (The correct result is 191).
Rapid exercise should also be applied in multiplication, division, subtraction, and squaring. Sometimes it is difficult to apply quick practice, especially if the numbers are large. However, by practicing, we will be able to quickly figure out the wrong answers. If this is the case, it's easy. Repeat the count until it is correct.


This is all I can say in my post this time, the basic steps about mental mathematics I will point out in the next post. Hopefully, this article useful for me personally and for you all.

Source :

  • Julius, Edward, 2002, Trik-trik Berhitung.


Thanks for visiting my blog
best regards @saimdang


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