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ajgrebel
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Are they actually worth looking into, to develop a quicker and deeper understanding of math or are they just a step above parlor tricks?
QuarkCharmer said:That's a good one steff, I will certainly remember that trick. Is there some sort of resource for information like this?
Steff196 said:Any "trick" would have a mathematical underpinning for why it works and therefore I would consider it useful. The rule of 3 is a good example- if a number's digits add up to something divisible by 3 then the number itself is divisible by three e.g. 141 1+4+1=6 so it is divisible by 3. This is no "trick," there is a mathematical reason for it (I don't feel like writing the proof but I'm sure you could find it on wiki). Also, being able to multiply two and three digit numbers quickly in your head comes in handy on tests (when not allowed to use a calculator).
34
45
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168
Mark44 said:The mathematics underlying this is part of number theory, and modular arithmetic. Rewriting a number as the sum of its digits is in effect working in modulo 9, in which all numbers fall into one of nine equivalence classes. Each of these classes represents the remainder when the number is divided by 9. It can be proved that the sum of the digits of any integer is in the same equivalence class as the integer itself.
It is definitely worth learning mental math as it has many practical applications in daily life. It can help save time and improve problem-solving skills.
Anyone can learn mental math with practice and dedication. While some individuals may have a natural aptitude for it, anyone can improve their mental math skills through regular practice.
Yes, there are several benefits to learning mental math. It can improve memory, concentration, and critical thinking skills. It can also boost confidence and self-esteem.
While mental math can be useful in many situations, it is not always accurate and can lead to mistakes. It is important to double-check calculations, especially in important or high-stakes situations.
There are many resources available for learning mental math, including books, online tutorials, and classes. It is best to start with the basics, such as learning multiplication tables and simple tricks, and then gradually build upon those skills.