Level: Arithmetic
Practice your Mental Math
I created this website inspired by the video I watched below. What became clear to me is that concentrating on the fundamental aspects of math, such as arithmetic and probability, is far more valuable than delving into complex mathematics, which we rarely encounter in our daily lives. You are far more likely to be able to figure out a business deal or know if an investment makes sense by doing simple math in your head. Modern finance theories are useful for economists to fit the world to their model but not their model to reality. Simple math, common sense and emotional stability is all you need to live a rich life.
I couldn't find a website that made practicing math as straightforward as I envisioned. Most of them required inputting various settings, rather than offering a structured approach that feels like a fun warm-up, gradually increasing in difficulty levels, like a game. I wanted a platform that would make daily math practice enjoyable rather than a tedious task.
If you feel like there are missing features or want to give feedback. I'd love to hear from you.
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A web app for arithmatic training
Would you like to become proficient in mental math quickly? Many individuals aspire to do so, but the available options for practicing these essential exercises can be quite cumbersome, making it challenging for all but the most committed learners. In the realm of physical fitness, many people express a desire to train their bodies, but the allocation of time, energy, and finances often poses a significant hurdle. Similarly, carrying around books and other materials for math practice is a barrier that doesn't align with the demands of modern life.
Achieving mental math prowess should be a rapid and convenient process. Enter mathtrainer.ai, a web application that operates within your web browser, eliminating the need to download and install software on your computer or phone. This allows users to access and utilize the app without the hassle of installing new programs. Additionally, as a web app, updates are streamlined, eliminating the necessity of downloading endless updates; the website will always be up to date.
The beauty of a web app lies in its accessibility from any internet-connected device with a web browser, be it a smartphone, tablet, or desktop computer. Furthermore, users are free to choose their preferred browser, whether it's Google Chrome, Safari, Firefox, or others. Google Chrome is recommended for the best math training experience, as it typically offers the most robust support for the latest web technologies.
Math Trainer is designed to deliver a consistent experience, regardless of the operating system you're using, whether it's Android, iOS, Windows, or another platform. While mobile devices will display an on-screen touch keyboard, some users may opt for the desktop version with a physical keyboard for a more comfortable experience. The advantages of a web app for convenient math training are undoubtedly evident.
Get better at mental math
Being good at quick math in your head can be helpful sometimes. But even if you don't need it right away, getting better at mental math is a cool way to exercise your brain. It helps you understand numbers better and how to use them in everyday life. Practicing mental math will make you better at learning more advanced math stuff.
But there are other good things about being good at mental math too. People usually expect educated folks to do simple math without needing a calculator. If you can't do that, it might not look too good. But if you're good at doing math in your head, people will think you're pretty smart. In some jobs like science and tech, being able to do math in your head is even more important.
For kids in school, being able to do math quickly can help with tests in math and science. At all levels of school, it's not enough to know how to solve math problems if you don't have much time. The kids who get the highest scores on tests are the ones who can answer questions right and do it fast. So, getting better at mental math can really help with your schoolwork.
Sometimes, doing math in your head can be faster than using a calculator or a phone. For example, figuring out how much to tip a server at a restaurant is a math problem that lots of people can't do without a calculator. But if you practice doing math in your head, you can save time in situations like this.
Mental math is also handy when you don't have a calculator or a phone around. Even though we have phones and computers, sometimes we can't use them. But if you're good at mental math, you're never stuck.
Lastly, getting better at mental math helps you make quick guesses and check if calculator results make sense. Computers are usually good at math, but sometimes we put in the wrong numbers. If you're better at mental math, you can tell if the calculator's answer is right.
So, being good at math in your head isn't just helpful sometimes; it's a great way to exercise your brain and be smarter in many situations.
Arithmetic
Arithmetic is a part of math that deals with the basic stuff like adding, subtracting, multiplying, and dividing numbers. When we're kids, we learn arithmetic because it's super important for solving real-life math problems. If you get really good at arithmetic, you can move on to more advanced math stuff called number theory, where you study whole numbers.
Even though we learn arithmetic when we're young, we don't use that word much anymore. It comes from a Greek word, "arithmos," which means "number." But back in the day, it was one of the three big things kids learned in school along with reading and writing.
Did you know that even way back in the old days, people were doing arithmetic? Archaeologists found a special stick that's over 20,000 years old, and it seems to have some marks on it that show the earliest known prime numbers. To understand prime numbers, which can only be divided by themselves and 1, you need to know about division in arithmetic.
From those early marks on sticks, people came up with the numbers we use today, like 1, 2, 3, and so on. They probably picked base-10 numbers because we humans have ten fingers (or toes). Another cool thing they figured out was positional notation, which means where a number is written tells you how big or small it is. This made it possible to do more complicated arithmetic and solve problems.
Now, let's talk about the basic math operations. First, there's addition. It's when you put two or more numbers together to get the total. You can add the numbers in any order, which is a fancy way of saying it doesn't matter which number you start with. If you imagine it on a number line, it's like finding the total distance from zero by moving along the line.
Next up is subtraction. This is when you find the difference between two numbers. But unlike addition, the order of the numbers matters. Depending on which number you start with, you might get a positive or negative answer. On a number line, it's like figuring out how far apart the two numbers are.
Then, we have multiplication, which is all about scaling a number up by another number. The second number is called a factor. Just like addition, you can change the order of the factors and still get the same answer. If you think about it on a number line, it's like adding the first number several times, like repeating it.
Finally, there's division, which is like the opposite of multiplication. Instead of making something bigger, you split a number into pieces equal to the second number. But in arithmetic, you can't divide by 0 because you can't split something into zero pieces. It just doesn't work.
Knowing basic arithmetic helps us solve all kinds of math problems, from simple math equations like 2 + 2 to real-world stuff like adding up items in a store. Understanding how arithmetic works is a superpower in the world of math!
What is mathematics?
People have been thinking about this question for a really long time, like over two thousand years! First off, the word "mathematics" comes from an old Greek word "mathematos," which means "stuff you learn." So, back in history, math was connected to things people thought were important to study. For a group called the Pythagoreans, that meant things like whole numbers, shapes, the sky (including stars and planets), and music. These four areas were the first things students learned in what they called the "quadrivium" when studying liberal arts.
Now, there's no one perfect definition of math that everyone agrees on. But here's my current way of thinking about it: Math is all about discovering, making up, proving, and explaining logical ideas, using a special set of rules that everyone agrees on. The main goal is to find out stuff that's really true, and then share that knowledge in a careful way. People have been doing this for more than two thousand years to help us understand how the world works.