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😈 LUKE SPOONER IS THE BEST😈
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Kate Holland
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ade rev
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11
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will
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Ethan Li
92
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Winston Chan
92
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Rich Caputo
91
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Simeon
91
19
Rahul Jain
91
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Anthony Gignac
90
21
Mental math skills are overrated in trading
89
22
Mick
89
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Ima Coder
89
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Winston C
88
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irina65popov
87
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Pawat Rithipreedanant
87
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Danish Zone
86
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Coconut jelly
86
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Mason Lien
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Daniel Guddemi
86
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Thanujeet Nanugonda
86
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commandotaco
85
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84
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Kenneth Ragan
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Owen Summers
84
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Bob Dobbs
84
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DetroitDrycleaning
84
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Dean Mastria
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Vanderbly
84
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Zhang Boyuan
84
41
Drunvalo Melchizedek
83
42
Mohamed Tchambaz
83
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Edward Witten
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Emerson Smith
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Cameron Moats
82
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Sawyer West
82
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Priyank Madria
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P Stevens
82
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Yu Wen Lu
82
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Ahmad Abunada
81
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81
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robert
81
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Greg Eck
81
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Andrew Smiciklas [Valley HS]
80
56
Patricio Battilana
80
57
Adam Gawne
80
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Dustin
80
59
LoserKruzer
80
60
Etash Guha
80
61
Jayhawk
80
62
Annie Kim Myung-ho Jung
80
63
David Landrigan
80
64
noahband
80
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Tayden Poettcker
79
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Pepperminty
79
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Josh Walter
79
68
Daregs
79
69
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78
70
Mark T. Esper
78
71
George Washington
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User
78
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Matthew Conrad
78
74
Aidan Lytle
78
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Pratik Rathore
77
76
Andrew Baker
77
77
Ilrak Kerakeip
77
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ChuckIE
76
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Mama loves you
76
80
Joseph Cano
76
81
SUB TO PEWDIEPIWE
76
82
Weiyi Xiao
76
83
E S
75
84
Michael Nguyen
75
85
Franklin Floresca
74
86
Lucas
74
87
Osten Loo
74
88
Looking for a Junior Trader position: xhe22@berkeley.edu
74
89
Akshay Nandwana
74
90
Bill Burr
74
91
Bobo
74
92
Rohan Bagchi
74
93
Eric Liu
74
94
Guo Shi Bei
74
95
Quincy Cason
74
96
Ron Burgundy
73
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Favian Ho
73
98
Daniel Bang
73
99
Aditya
73
100
Looking for a Junior Trader position: jl6953@stern.nyu.edu
72
101
Alex Kwon
72
102
kenny
72
103
Jinghuang Qin
72
104
Hang Yuan
72
105
STUDENT Rohan Suri
72
106
ewhhNewhh
72
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John Smith
72
108
Anna
71
109
James Doehring
71
110
Scott
71
111
Yanqi Huang
71
112
Frazer Smith
71
113
Sid Sridhar
71
114
Daniel Madsen
71
115
luust
71
116
Jonathan Pie
71
117
Leah
71
118
Tanmay Joshi
71
119
Sri Krishna Suveer Yerramilli
71
120
Flim Flammyplop
70
121
Alison Sowden
70
122
Dinofloss
70
123
Joe Scarborough
70
124
Blank Ygcp
70
125
Joshua He
70
126
User
70
127
Sean Koo
70
128
TreeMint
69
129
Matthew Chen
69
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Richard Williams
69
131
Bill Graves
69
132
Abiy Ahmed Ali
69
133
John McCuish
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134
Ryan Zhang 🍍 | itsryan.org
68
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Anar Munkhtur
68
136
Michelle Hosea
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137
ROBLOX ROBLOX ROBLOX
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Kristen Park
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Andrew Yang
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Darren Skidmore
68
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Sherrie Beckwith
68
142
Erika Petersen
68
143
Ed
68
144
dealpenguin2018@gmail.com
68
145
Thomas Mifflin
68
146
Aditya Sriram
67
147
Kimora Williams
67
148
Robo Panic
67
149
Brian Chao
67
150
Jenn Jia
67
151
Kyler Sood
67
152
Kate S
67
153
Dickson Wu
67
154
Gurekmann Gill
67
155
Koyomin
67
156
bob johnson
66
157
Steven Fan
66
158
tony castillo
65
159
Stanislav Perumov
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160
Jamie Munt
65
161
treedoeseverything
65
162
LyraTheDragon
65
163
Andrew Komick
65
164
Prince Towel
65
165
Rye
65
166
Tuby Zong
65
167
Joseph Lai
65
168
DraticalSA1
65
169
Jeremy K. Stoltzfus
65
170
Andrew Couser
65
171
Ma Va
65
172
EK
64
173
Will- Hole
64
174
Darian Saracevic
64
175
Jordan Katz
64
176
@Modoz_CR
64
177
Justin
64
178
Jake Bloodsworth
64
179
ishaan grewal
64
180
masub j
64
181
Eason Wu
64
182
Shahid M Salam
64
183
Samuel Ogunsanya
64
184
Kevin Feng
64
185
Chris Allen
64
186
MarchedGull
64
187
Pranitha Rajaa
63
188
Matan Gans
63
189
Nic Hanover
63
190
bob smith
63
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Adam Turner
63
192
first last
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193
camden
63
194
Michael 1
63
195
Joseph Hernandez
63
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PA
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Dan Shi
63
198
Aviral Somani
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Phil Spector
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AP9
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62
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fifth for swimming ok geez
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Raven688
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Bo Browder
61
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Ethan Loftspring
61
215
Avery Wang
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Caden Hanscom
61
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Kevin Wang
61
219
Nimit Kalra
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Richard Garyson
61
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Viral Jhaveri
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Debabi
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T O
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225
User
61
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User
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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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