Leaderboard
Nevada
Rank
Level
1
Joey
Reno
93
2
Andrew Smiciklas
Las Vegas
91
3
User
Las Vegas
89
4
Alex
Las Vegas
75
5
Jeff Paris
Reno
67
6
Traveon Parker [STUDENT]
Las Vegas
66
7
Andrew James Smiciklas
Las Vegas
63
8
al s
Las Vegas
58
9
Al s
Las Vegas
56
10
Grim turkey
Sparks
53
11
User
Reno
51
12
User
Las Vegas
51
13
User
Sun Valley
48
14
User
Las Vegas
45
15
elieven
Las Vegas
40
16
User
Las Vegas
40
17
User
Las Vegas
40
18
Ryan Bell
Las Vegas
37
19
User
Sparks
37
20
User
Las Vegas
35
21
Ciara Partridge
Las Vegas
34
22
User
Las Vegas
34
23
User
Las Vegas
33
24
User
Las Vegas
33
25
User
Las Vegas
31
26
User
Las Vegas
31
27
User
Las Vegas
30
28
analiese g
Las Vegas
29
29
Nathan Kassai
Las Vegas
29
30
User
Las Vegas
29
31
Abreona Browhaw
Las Vegas
28
32
User
Las Vegas
28
33
User
Las Vegas
28
34
User
Las Vegas
28
35
david lopez
Las Vegas
28
36
User
Las Vegas
27
37
User
Las Vegas
27
38
User
Las Vegas
26
39
User
Reno
26
40
User
Las Vegas
26
41
User
Las Vegas
25
42
User
Las Vegas
25
43
User
Las Vegas
25
44
Vince Chongdee [STUDENT]
Las Vegas
25
45
User
Las Vegas
25
46
Natalia Mankova
Las Vegas
25
47
User
Reno
25
48
User
Las Vegas
24
49
User
Las Vegas
24
50
Alexis Carson
Las Vegas
24
51
Jean Romero [STUDENT]
Las Vegas
23
52
User
Las Vegas
23
53
User
Las Vegas
23
54
User
Las Vegas
23
55
User
Las Vegas
22
56
User
Las Vegas
22
57
Nirv
Las Vegas
22
58
User
Las Vegas
22
59
User
Las Vegas
21
60
Justin Kavanagh
Reno
21
61
User
Las Vegas
21
62
User
Las Vegas
21
63
User
Las Vegas
21
64
User
Las Vegas
21
65
User
Las Vegas
21
66
User
Las Vegas
21
67
User
Henderson
21
68
User
Las Vegas
20
69
User
Las Vegas
20
70
User
Las Vegas
20
71
User
Las Vegas
20
72
User
Las Vegas
20
73
User
Las Vegas
20
74
User
Las Vegas
20
75
User
Las Vegas
19
76
User
Las Vegas
19
77
User
Las Vegas
19
78
User
Las Vegas
19
79
User
Las Vegas
19
80
User
Las Vegas
18
81
User
Las Vegas
18
82
User
Las Vegas
18
83
User
Las Vegas
18
84
User
Las Vegas
18
85
User
Reno
18
86
User
Las Vegas
17
87
Allen
Las Vegas
17
88
User
Las Vegas
17
89
User
Las Vegas
17
90
LoopyLocokiller
Las Vegas
16
91
User
Las Vegas
16
92
User
Las Vegas
16
93
User
Las Vegas
16
94
User
Las Vegas
16
95
User
Las Vegas
16
96
User
Fallon
16
97
User
Las Vegas
15
98
User
Las Vegas
15
99
User
Las Vegas
15
100
Adan Quintana [STUDENT]
Las Vegas
15
101
User
Las Vegas
15
102
User
Las Vegas
15
103
User
Las Vegas
15
104
User
Las Vegas
15
105
User
Las Vegas
15
106
User
Las Vegas
14
107
User
Las Vegas
14
108
User
Las Vegas
14
109
User
Las Vegas
14
110
User
Las Vegas
13
111
User
Las Vegas
13
112
User
Las Vegas
13
113
User
Las Vegas
12
114
User
Las Vegas
12
115
User
Las Vegas
12
116
User
Las Vegas
12
117
User
Las Vegas
12
118
User
Las Vegas
12
119
Eme Fazili [STUDENT]
Las Vegas
12
120
Allison Su
Kingsbury
12
121
User
Las Vegas
12
122
User
Las Vegas
12
123
User
Las Vegas
12
124
User
Las Vegas
11
125
User
Las Vegas
11
126
Keyan Winn Calbert [STUDENT]
Las Vegas
11
127
User
Las Vegas
11
128
User
Las Vegas
11
129
User
Las Vegas
11
130
User
Reno
11
131
User
Las Vegas
11
132
User
Las Vegas
11
133
Dee Brown
Las Vegas
11
134
User
Henderson
11
135
User
Las Vegas
10
136
User
Las Vegas
10
137
User
Las Vegas
10
138
User
Las Vegas
10
139
User
Las Vegas
10
140
User
Las Vegas
10
141
User
Las Vegas
9
142
User
Las Vegas
9
143
User
Las Vegas
9
144
User
Las Vegas
9
145
User
Las Vegas
9
146
User
Las Vegas
9
147
User
Las Vegas
9
148
Xhalyhanna McFadden [STUDENT]
Las Vegas
9
149
User
Las Vegas
9
150
User
Las Vegas
9
151
Luis Moller
Las Vegas
9
152
User
Reno
9
153
User
Las Vegas
9
154
User
Las Vegas
9
155
User
Las Vegas
9
156
User
Las Vegas
9
157
User
Las Vegas
9
158
Linda Rockenbach
Las Vegas
9
159
User
Las Vegas
8
160
User
Las Vegas
8
161
User
Las Vegas
8
162
User
Reno
8
163
User
Las Vegas
8
164
User
Las Vegas
8
165
User
Las Vegas
8
166
User
Las Vegas
8
167
User
Las Vegas
8
168
User
Las Vegas
8
169
User
Las Vegas
7
170
User
Las Vegas
7
171
User
Las Vegas
7
172
Torintino Garrett [STUDENT]
Las Vegas
7
173
User
Reno
7
174
User
Las Vegas
7
175
User
Las Vegas
7
176
User
Las Vegas
7
177
User
Las Vegas
7
178
User
Las Vegas
7
179
User
Las Vegas
7
180
User
Las Vegas
7
181
User
Las Vegas
7
182
User
Reno
7
183
User
Las Vegas
7
184
User
Henderson
7
185
User
Las Vegas
7
186
User
Las Vegas
7
187
Ryan Bugg
Reno
7
188
User
Las Vegas
6
189
User
Las Vegas
6
190
User
Las Vegas
6
191
User
Las Vegas
6
192
nm
Las Vegas
6
193
User
Las Vegas
6
194
User
Las Vegas
6
195
User
Las Vegas
6
196
User
Winnemucca
6
197
User
Las Vegas
6
198
User
Las Vegas
6
199
User
Las Vegas
6
200
User
Las Vegas
6
201
User
Las Vegas
6
202
User
Las Vegas
6
203
User
Las Vegas
6
204
User
Reno
5
205
User
Las Vegas
5
206
User
Las Vegas
5
207
Carlos Ortigoza [STUDENT]
Las Vegas
5
208
User
Las Vegas
5
209
User
Las Vegas
5
210
User
Las Vegas
5
211
User
Las Vegas
5
212
User
Las Vegas
5
213
User
Las Vegas
5
214
User
Las Vegas
5
215
User
Las Vegas
5
216
User
Las Vegas
5
217
User
Las Vegas
5
218
User
Las Vegas
5
219
User
Las Vegas
4
220
User
Las Vegas
4
221
User
Las Vegas
4
222
User
Las Vegas
4
223
User
Las Vegas
4
224
User
Las Vegas
4
225
User
Las Vegas
4
226
User
Las Vegas
4
227
User
Las Vegas
4
228
User
Las Vegas
4
229
User
Las Vegas
4
230
User
Las Vegas
4
231
User
Las Vegas
4
232
User
Las Vegas
4
233
User
Las Vegas
4
234
User
Las Vegas
4
235
User
Las Vegas
4
236
User
Las Vegas
4
237
User
Las Vegas
4
238
User
Las Vegas
4
239
User
Las Vegas
4
240
User
Sparks
4
241
User
Las Vegas
4
242
User
Las Vegas
3
243
User
Las Vegas
3
244
User
Las Vegas
3
245
User
Las Vegas
3
246
User
Las Vegas
3
247
Daiyan Galvez Hodelin [STUDENT]
Las Vegas
3
248
User
Las Vegas
3
249
User
Las Vegas
3
250
User
Las Vegas
3
251
User
Las Vegas
3
252
User
Las Vegas
3
253
User
Las Vegas
3
254
User
Las Vegas
3
255
User
Las Vegas
3
256
User
Las Vegas
3
257
User
Las Vegas
3
258
User
Las Vegas
3
259
User
Las Vegas
3
260
User
Las Vegas
3
261
User
Las Vegas
3
262
User
Las Vegas
3
263
User
Las Vegas
3
264
User
Las Vegas
3
265
User
Carson City
3
266
User
Reno
3
267
User
Las Vegas
3
268
User
Las Vegas
3
269
User
Henderson
3
270
User
Las Vegas
2
271
User
Las Vegas
2
272
User
Las Vegas
2
273
User
Las Vegas
2
274
User
Las Vegas
2
275
User
Las Vegas
2
276
User
Las Vegas
2
277
User
Las Vegas
2
278
User
Las Vegas
2
279
User
Las Vegas
2
280
User
Las Vegas
2
281
User
Las Vegas
2
282
User
Las Vegas
2
283
User
Las Vegas
2
284
User
Las Vegas
2
285
User
Las Vegas
2
286
User
Las Vegas
2
287
User
Las Vegas
2
288
User
Las Vegas
2
289
User
Las Vegas
2
290
User
Las Vegas
2
291
User
Las Vegas
2
292
User
Las Vegas
2
293
User
Las Vegas
2
294
User
Las Vegas
2
295
User
Las Vegas
2
296
User
Las Vegas
2
297
User
Las Vegas
2
298
User
Las Vegas
2
299
User
Las Vegas
2
300
User
Las Vegas
2
301
User
Las Vegas
2
302
User
Las Vegas
2
303
User
Sparks
2
304
User
Las Vegas
2
305
User
Reno
2
306
User
Fallon
2
307
User
Las Vegas
2
308
User
Las Vegas
2
309
User
Las Vegas
2
310
User
Las Vegas
2
311
User
Las Vegas
2
312
User
North Las Vegas
2
313
User
Las Vegas
1
314
User
Las Vegas
1
315
User
Las Vegas
1
316
User
Las Vegas
1
317
User
Sparks
1
318
User
Las Vegas
1
319
User
Las Vegas
1
320
lolStarks
Sun Valley
1
321
User
Las Vegas
1
322
User
Las Vegas
1
323
Heyzel Funes [STUDENT]
Las Vegas
1
324
User
Las Vegas
1
325
User
Las Vegas
1
326
User
Las Vegas
1
327
User
Las Vegas
1
328
User
Las Vegas
1
329
User
Las Vegas
1
330
User
Las Vegas
1
331
Rashid Ishimwe [STUDENT]
Las Vegas
1
332
Christinatclara tosambe
Las Vegas
1
333
Nelson Lopez Coreas [STUDENT]
Las Vegas
1
334
Rashid 2k19
Las Vegas
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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 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, 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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