Worldwide
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Joe shwarizmi
100
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Albert
100
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Giovanni Casalegno
100
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guerdin
100
5
Manup B
100
6
Christian Balboa
100
7
Ghalib Sadan
100
8
Miklós Horváth
100
9
Luka Martin
99
10
F equals ma
99
11
Gianni Manginelli
99
13
Matthew peters
99
14
Pi
99
15
Aryaseto
99
16
Cyril Guzeev
99
17
K. Gee
98
18
MG
98
20
😈 LUKE SPOONER IS THE BEST😈
98
21
Przegrywacz
98
22
Vince Anthony Santos Ong
98
23
M Yu
97
24
Michał Bielicki
97
25
miklos mobile
97
26
Joonas Majuri
97
27
Tom Scotney
97
28
Maciej Jaworski
97
29
Emily Castillo Martínez
97
30
LiviuRebreanu
97
31
Eduardo Mora
97
32
Anyone dare challenge me
97
33
Sacha DM
97
34
Brian Caulfield
96
35
Kate Holland
96
36
Ram Emmanuel Vallarta Tuason
96
37
ade rev
95
38
Rupayan Mallick
95
39
Milan van de Meeberg
95
40
Provid
95
41
Alberto Piva
95
42
Time ThirtyOne min Ten sec
95
43
Johnny Tan
95
44
Kane Rex
94
45
Francesco D
94
47
Neil Andross Serrano Ocava
94
48
YEE SEAN
94
49
Danny Bragan
94
50
Tejas ___
94
51
Trent
94
52
Cheong Choon Kit
93
54
zhujik mnbv
93
56
Siggi
93
57
Ivan Angeli
93
58
Luka Martin
92
59
Emilia san
92
60
Ethan Li
92
61
Daphne Muller
92
62
Winston Chan
92
63
JeongWon KIM
91
64
Khog
91
66
Liz Maassen
91
67
Eddie
91
68
AmauryM
91
69
Rich Caputo
91
70
Jason C
91
72
Simeon
91
73
Rahul Jain
91
74
Aleksandr Kostrub
90
75
Anthony Gignac
90
76
Max Holm
90
77
Kushaan Jagasia
90
78
tony
90
79
Callan
90
80
nuthan priya
90
81
JoEp
89
82
Mental math skills are overrated in trading
89
83
Agustin Marcos
89
85
Ima Coder
89
86
kashmiriMirch
89
87
QW
89
88
Tan Qi Wei
89
89
Joonas Majuri
89
90
Dene
88
91
ChihYao Chang
88
92
Juan Carlos Ortiz Garcia
88
94
Winston C
88
95
irina65popov
87
96
Yu Kai Tan
87
97
Titus Pellegrom
87
98
Vikalp
87
99
Lawrence Mikkel Anatalio Mendoza
87
100
Leonid Didyk
87
101
Pawat Rithipreedanant
87
102
Oskar Dee
86
103
Danish Zone
86
104
G
86
105
imba hero
86
106
Coconut jelly
86
107
Vince Anthony Ong
86
108
Peter Boylan
86
109
Mason Lien
86
110
Daniel Guddemi
86
111
Thanujeet Nanugonda
86
112
asha shrestha
85
113
Benjamin Button
85
114
Joaquim I╤igo Creighton Castillo
85
115
Aayush Sacheti
85
116
mg
85
117
commandotaco
85
118
Ashutosh Tiwari
85
119
Ihor Riabchich
85
120
Mustafa Alelq
85
121
Youss B.
85
122
Jamie Porter
84
123
Andreas Dwi Putra
84
124
Penguinaki
84
125
Billybeatbox
84
126
Kenneth Ragan
84
127
Justin Leemburg
84
128
Owen Summers
84
129
Arouf gangsta (adm ou nevrax # RPZ la 1°10)
84
130
Bob Dobbs
84
131
Иван Вихрев
84
132
Gerd Wichers
84
133
DetroitDrycleaning
84
134
Dean Mastria
84
135
Vanderbly
84
136
Dominique Sy
84
137
Zhang Boyuan
84
138
Ljy08042003
83
139
Giulio
83
140
James HARTLEY
83
141
Gabba Gabba
83
142
Łukasz Niemkiewicz
83
143
Kuschel Muschel
83
144
Drunvalo Melchizedek
83
145
Mohamed Tchambaz
83
146
Edward Witten
83
147
Edwin A. López
83
148
Pavalosk
83
149
Vitor Gouveia
83
150
Emerson Smith
83
151
Dhruva Murari
83
152
Cameron Moats
82
153
Max Hofer
82
154
Sandro Lindenmann
82
155
Sawyer West
82
156
AK
82
157
Priyank Madria
82
158
P Stevens
82
159
Slavomira Rohacova
82
160
zoran acimovic
82
161
Yu Wen Lu
82
163
Sanprit Nayan
82
164
Mart
81
165
MG
81
166
Ahmad Abunada
81
167
t bo
81
168
TFB
81
169
User
81
170
Aryaman Garg
81
171
Francesco Perniciaro
81
172
sebastian sanchez
81
173
robert
81
174
Hayley Cassandra Hay Ee Yap
81
175
Marcell Szilvási
81
176
Greg Eck
81
177
Andrew Smiciklas [Valley HS]
80
178
asser khaled
80
179
Patricio Battilana
80
180
Adam Gawne
80
181
Matteo M
80
182
Jordan Seligmann
80
183
James TSANG
80
184
Li Chaofan
80
185
Dustin
80
186
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80
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A Web App for Mathematics Training

Do you want to be fast at mental math? Many people do, but the options for doing the necessary exercises are simply too cumbersome for all but the most dedicated of trainees. In physical fitness, many people are interested in training their bodies but allocating the time, energy, and money for it is a significant obstacle. Likewise, lugging around books and whatnot for math practice is a threshold that just doesn't meet the standards of modern life.

Training yourself to be skilled at mental math needs to be quick and convenient. mathtrainer.org is a web app that works in your browser rather than a program you have to download and install on your computer or phone. This allows users to try and use the app without having to install new software. As a web app, updates are also much simpler. There is no need to download endless updates—the website will always be the most current version.

You can access a web app from any device connected to the internet and equipped with a web browser, including smartphones, tablets, and desktop computers. Moreover, you are free to use whichever browser you prefer, including Google Chrome, Safari, Firefox, and others. Google Chrome is the recommended browser for the best maths training since it tends to lead the pack in supporting the latest web technologies.

Math Trainer is designed to offer a similar experience regardless of what you’re using to access it, whether it be Android, iOS, Windows, or another operating system. Though an on-screen touch keyboard will appear on mobile devices, you may prefer to use the app on a desktop with a keyboard. Hopefully the advantages of a web app for convenient mathematics training are apparent.

Another part of making the app easy to use is eliminating the need for signing up and logging in. Users can get started with their math training as soon as they click the start button on this page. After progressing to higher levels in the app, your progress is automatically saved so long as your return to the site through the same browser.


What's a Mental Math Tip?

A mental math tip is a sequence of steps that can be taken to solve a math problem in your head. Click the arrow below to see an example for the following problem:

÷
984
3
328

A tip like this one is available for every problem in Math Trainer, so there's always help if you get stuck. With enough math practice, you'll be able to predict what the tips will say—you'll have learned mental math!


Get Better at Mental Math

The ability to quickly perform mental calculations offers advantages in certain circumstances. But even without applications, getting better at mental math is a great way to stimulate one’s mind. It develops better number sense and intuition for quantifying the world around us. Practicing mental calculation will strengthen your foundation for learning more advanced maths topics.

Nonetheless, the tangible benefits of improving at mental math are many. It is certainly expected that educated people are able to do simple arithmetic without having to pull out a calculator. An inability to do so may reflect poorly on you, while being well-practiced in mental calculation will leave your contemporaries impressed. In many scientific and technical circles, mental math ability is even more highly regarded.

For students, mental calculation speed will often have a direct impact on math and science test scores. At all grade levels, it is not sufficient to know how to solve math problems when tests have a time limit on them. The highest-scoring test takers are able to answer questions both correctly and efficiently. Improving mental math skills will only benefit a student’s academic career.

Calculating the solution to an arithmetic problem in your head is often faster than pulling out a device to tell you the answer. For example, figuring out how much to tip a server at a restaurant is a straightforward arithmetic problem that many people are unable to perform without a calculator. By training your brain to solve basic math problems, you can save time in situations like these.

Mental math can also be relied upon when calculation devices are not available. Even with the conveniences of modern life, we occasionally find ourselves without access to our cell phones or other capable devices. A mind skilled in mental math is always available to you.

Finally, getting better at mental math enables a quick estimate and sanity check on results obtained from calculators. While computers are extremely reliable at solving math problems, there is always the risk of incorrectly inputting the problem to the computer. By getting better at mental mathematics, you will develop an intuition for whether the results of calculators make sense.

In fact, the ability to estimate is often sufficient to avoid using calculators altogether. While the use of computers is widespread, estimation is an increasingly valued skill in many industries. There are many situations where complex math will eventually be required, but a preliminary estimate is needed quickly. A major boost to productivity!


Use a Math Trainer

Mental math ability is a lot like physical fitness training. You may be out of shape in the beginning, but with diligent training you can and will improve. Initially you might not enjoy the exercise, but you will reap significant rewards for your effort. As you become more fit, you’ll begin to enjoy the activity much more. If you are serious about it, your mental calculation fitness could become a source of energy, galvanizing you to face the challenges of life with enthusiasm.

In physical training, you break down the fibers in your muscles during a workout session. Your muscles actually sustain tiny tears during resistance training exercises. While you rest afterwards, your body repairs the damage, rebuilding the fibers thicker and stronger.

A similar process is believed to occur for cognitive tasks. A 2016 study found "extensive evidence that brain-training interventions improve performance on the trained tasks".1 Therefore you can expect training your brain to answer mental math questions will lead to improved performance over time.

In the context of physical fitness, a "trainer" often refers to a trained professional who guides the workout and recovery process. Personal trainers are tasked with assessing a trainee's level of ability, prescribing an exercise regimen, and offering feedback as the training goes along. The word "trainer" could also refer to a system that automates the role of a personal trainer. Many aerobic exercise machines today offer interactive training programs with feedback and analysis of a user's performance.

A math trainer is needed for optimal math fitness. Like in physical fitness, the trainer should be compatible with users at a variety of skill levels and should guide them to the next level. It should give an accurate assessment of a user's strengths and weakness, as well as offer helpful feedback on where to focus one's efforts. Learning the ropes of mental maths with a math trainer should be a seamless, rewarding journey to ever-greater abilities.


Mental Calculation

Mental calculation, or mental math, is performing arithmetical calculations without the aid of tools or supplies. As opposed to using a calculator or pencil and paper, mental math is performed entirely in one’s head.

People use mental calculation when computation aides are not available, when it is faster to do so, or when they wish to practice math, show off, or participate in mental math competitions. Most people perform basic mental calculation using elementary arithmetic on a daily basis. An inability to calculate mentally is a serious obstacle to many common tasks.

In U.S. schools, mental calculation is taught only for the most elementary arithmetic, such as single-digit addition and multiplication of two numbers between 0 and 12. To solve addition problems involving multiple digits, you are taught to add columns of digits from right to left, carrying the tens digit if the column sum exceeds 9. For example, how would you approach this addition problem?

Example of two-digit
addition problem

If you were trained like many of us were, you’d add the right column to obtain 12. Since that’s two digits, you’d write the 2 under the right column and carry the 10 by writing a 1 above the left column. Finally, you’d add the two tens digits and the carried 1 to obtain the answer, 52.

To solve an addition problem mentally, it’s best to add the columns from left to right. In our example, you could add the tens digit of the second number, 30, to the first number, 14, to obtain 44. This is easier than the full problem because you’re just doing one mental calculation and tacking on the 4 from the 14 as the singles digit. Then you’d add the remaining ones digit of the second number, 8, to 44 to arrive at the answer, 52.

Which approach seems simpler to you? Can you do the first approach without pulling out a pencil and paper? It turns out the same advantages of left-to-right addition apply to much larger numbers as well. It’s unlikely that difficult addition problems can be solved right to left without needing to write it all out, which of course is more time consuming.

Mental math should be distinguished from the memorization of math facts such as multiplication tables. A foundation of memorized answers to simple math problems will make mental math easier, but performing maths in your head requires both memorized facts and the manipulation of numbers and operations to solve problems. This combination of skill and memory allows us to solve far more complex math questions than can be answered with readily-memorized math facts.

Many mental math tricks are specific to particular numbers or types of problems, usually dependent on the base of the number system used. In the decimal numeral system, for example, it is trivially easy to multiply by 10—just add a 0 to the end of the number. This mental math trick wouldn’t work in the hexadecimal numeral system, though, because the base is 16 instead of 10.

Therefore mental calculation is the ability to manipulate complex arithmetic problems in such a way that they can be resolved using simple memorized math facts.


Arithmetic

Arithmetic is the branch of mathematics concerning basic number operations: addition, subtraction, multiplication, and division. As kids, we are taught to do arithmetic because real-world math problems depend on a mastery of elementary arithmetic. Higher-level study of arithmetic and the integers, or whole numbers, is known as number theory.

Though the math kids initially study is arithmetic, the word is rarely used in this context anymore. Originally it comes from the Greek arithmos, meaning “number”. It has however been included in the “three Rs” of elementary Western education: reading, writing, and arithmetic.

There is evidence prehistoric humans were using arithmetic as hunter-gatherers. Archaeologists have uncovered a tally stick, believed to be over 20,000 years old, which may exhibit the earliest known sequences of prime numbers. An understanding of prime numbers, which are only divisible by themselves and the number 1, requires knowledge of the operation in arithmetic known as division.

From tally marks came base-10 numerals such as those used in Egypt over 5,000 years ago. Number systems based on 10 probably arose because humans have ten “digits” as fingers on their hands (or toes on their feet). A later advance in arithmetic was positional notation, which allowed the same symbols to represent different magnitudes depending on their position in the written number. These numeral systems allowed complex arithmetic to be communicated, recorded, and applied to the challenges faced by our ancestors.

The basic operation of arithmetic is addition. It combines two or more numbers into one, the sum of the terms. The terms can be added in any order, which is known as the commutative property of arithmetic. On a number line, the sum of two numbers is the total distance from zero covered by both numbers.

The inverse arithmetical operation of addition is subtraction. It finds the difference between two numbers. Subtraction is not commutative because the order of the numbers determines whether the answer is positive or negative. On a number line, the difference between two numbers is the distance between their positions.

A second basic operation of arithmetic is multiplication, which scales a number by another number. This second number is called a factor. Like addition, multiplication is commutative—you can change the order of the factors and still get the same answer. Multiplication on a number line can be viewed as adding the first number a total number of times equal to the second factor.

Finally, division is an arithmetical operation that is essentially the inverse of multiplication. Rather than scaling a number, it is divided into a number of pieces equal to the second number. Dividing by the number 0 is not defined in arithmetic because dividing something into zero pieces is impossible.

Basic arithmetic allows us to evaluate the answers to an unlimited number of mathematical expressions. Arithmetical expressions can be purely mathematical, as in 2 + 2, or they can represent quantities in the physical world, such as two items plus two more. Understanding the laws of arithmetic is tremendously powerful.


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