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Mental Aritmetika: Cara Cepat dan Mudah Belajar Matematika

What is Mental Aritmetika and Why is it Important?

Mental aritmetika is the invaluable maths skill of doing calculations in your head, without the use of any tools, such as a calculator or pen and paper, or fingers. It can come in handy in countless everyday situations, from working out the best multi-buy deal in the supermarket, to calculating how long you will need to wait for the next train.

mental aritmetika

The meaning and origin of mental aritmetika

The word "aritmetika" comes from the Greek word "arithmos", which means number or digit. Aritmetika is the science of numbers, or the art of calculation. Mental aritmetika is the ability to perform arithmetic operations mentally, using only your brain power.

Mental aritmetika has a long history, dating back to ancient times. Some of the earliest records of mental aritmetika are from India, China, Greece, and Egypt. These civilizations developed various methods and systems for mental aritmetika, such as the Vedic maths, the Chinese abacus, the Greek algorithm, and the Egyptian hieroglyphs.

The benefits of mental aritmetika for brain development, learning, and everyday life

Mental aritmetika is not only useful for solving maths problems, but also for enhancing your cognitive abilities, such as memory, concentration, creativity, logic, and reasoning. By practicing mental aritmetika regularly, you can stimulate both sides of your brain, the left hemisphere that is responsible for analytical thinking and language, and the right hemisphere that is responsible for spatial awareness and imagination.

Mental aritmetika can also improve your academic performance, especially in subjects that require numerical skills, such as maths, science, engineering, accounting, etc. By mastering mental aritmetika techniques, you can save time and avoid errors when doing calculations. You can also develop a deeper understanding of mathematical concepts and principles.

Moreover, mental aritmetika can help you in your daily life activities that involve numbers, such as budgeting, shopping, travelling, cooking, etc. You can quickly estimate costs, distances, quantities, proportions, etc., without relying on external tools. You can also impress your friends and family with your mental aritmetika skills.

How to improve your mental aritmetika skills

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How to learn and practice mental aritmetika

Learning and practicing mental aritmetika is not as hard as it may seem. You just need to have a positive attitude, a willingness to learn new things, and a consistent practice routine. Here are some steps to follow:

  • Start with the basics. Learn the basic arithmetic operations (addition, subtraction, multiplication, division) and their properties (commutative, associative, distributive). Review the place value system (units, tens, hundreds, etc.) and how to read and write numbers in different formats (decimal, fraction, percentage).

  • Learn some techniques and tips. There are many techniques and tips that can help you do mental aritmetika faster and easier. For example, you can use rounding up or down to simplify numbers, you can use patterns and relationships to recognize multiples or factors, you can use shortcuts or tricks to multiply or divide by certain numbers, you can use visual aids or mnemonics to remember formulas or rules.

  • Practice regularly. The best way to improve your mental aritmetika skills is to practice them as often as possible. You can use various sources of exercises, such as books, apps, websites, etc., to challenge yourself with different levels and types of problems. You can also create your own problems or use real-life situations to apply your mental aritmetika skills.

  • Monitor your progress and set goals. It is important to keep track of your progress and set realistic and achievable goals for yourself. You can use a journal, a spreadsheet, or an app to record your performance, such as the number of problems you solved, the time you spent, the errors you made, etc. You can also use feedback, tests, or quizzes to evaluate your strengths and weaknesses and identify areas for improvement.

  • Have fun and enjoy the process. Learning and practicing mental aritmetika should not be boring or stressful. You should have fun and enjoy the process of learning new things and challenging yourself. You can make mental aritmetika more fun and enjoyable by using games, puzzles, riddles, jokes, stories, etc., to stimulate your interest and curiosity. You can also join a community of learners or enthusiasts who share your passion for mental aritmetika.

Mental Aritmetika Techniques and Tips

In this section, we will share some of the most common and useful techniques and tips for mental aritmetika. These techniques and tips can help you do mental aritmetika faster and easier, as well as boost your confidence and accuracy.

Multiplying numbers by 10, 100, 1000 and their multiples

One of the easiest and most useful techniques for mental aritmetika is multiplying numbers by 10, 100, 1000 and their multiples (such as 20, 30, 40, etc.). The trick is to simply move the decimal point to the right by the number of zeros in the multiplier. For example:

  • 7 x 10 = 70 (move the decimal point one place to the right)

  • 7 x 100 = 700 (move the decimal point two places to the right)

  • 7 x 1000 = 7000 (move the decimal point three places to the right)

  • 7 x 20 = 140 (multiply by 10 first, then double the result)

  • 7 x 30 = 210 (multiply by 10 first, then triple the result)

  • 7 x 40 = 280 (multiply by 10 first, then quadruple the result)

Adding and subtracting numbers mentally

Another basic and essential technique for mental aritmetika is adding and subtracting numbers mentally. There are several methods and strategies for doing this, depending on the type and size of the numbers involved. Here are some examples:

Adding or subtracting numbers that end with zeros: Simply add or subtract the non-zero digits first, then append the zeros at the end. For example:

  • 50 + 30 = 80 (add 5 + 3 first, then add two zeros)

  • 50 - 30 = 20 (subtract 5 - 3 first, then add two zeros)

  • 500 + 300 = 800 (add 5 + 3 first, then add three zeros)

  • 500 - 300 = 200 (subtract 5 - 3 first, then add three zeros)

Adding or subtracting numbers that are close to multiples of 10: Use rounding up or down to make one of the numbers a multiple of 10, then adjust the result accordingly. For example:

  • 9 + 6 = 15 (round up 9 to 10, then add 6 - 1)

  • 9 - 6 = 3 (round up 9 to 10, then subtract 6 + 1)

  • 11 + 7 = 18 (round up 11 to 10, then add 7 + 1)

  • 11 - 7 = 4 (round up 11 to 10, then subtract 7 - 1)

Adding or subtracting numbers that have the same tens digit: Simply add or subtract the units digits first, then append the tens digit at the beginning. For example:

  • 23 + 25 = 48 (add 3 + 5 first, then add 2 at the beginning)

  • 23 - 25 = -2 (subtract 3 - 5 first, then add 2 at the beginning)

  • 34 + 36 = 70 (add 4 + 6 first, then add 3 at the beginning)

  • 34 - 36 = -2 (subtract 4 - 6 first, then add 3 at the beginning)

Adding or subtracting numbers that have different tens digits: Use a combination of the previous methods, such as rounding up or down, or splitting the numbers into tens and units. For example:

  • 27 + 35 = 62 (round up 27 to 30, then add 35 - 3)

  • 27 - 35 = -8 (round up 27 to 30, then subtract 35 + 3)

  • 46 + 25 = 71 (split 46 into 40 and 6, then add 25 to each part separately)

  • 46 - 25 = 21 (split 46 into 40 and 6, then subtract 25 from each part separately)

Using the abacus as a tool for mental aritmetika

The abacus is an ancient device that consists of a frame with rods and beads that can be moved to represent numbers and perform calculations. The abacus is still widely used in some countries, such as China and Japan, as a tool for teaching and practicing mental aritmetika.

The abacus can help you develop your mental aritmetika skills by enhancing your visual memory, concentration, and coordination. By using the abacus, you ca


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