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South Carolina
South Carolina
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Rank
Level
1
Matthew
Mount Pleasant
98
2
DKNY
Mount Pleasant
81
3
User
Charleston
51
4
Matthew
Mount Pleasant
48
5
User
Mount Pleasant
48
6
User
Lyman
46
7
User
Goose Creek
44
8
User
Greenwood
41
9
Anika A
Columbia
40
10
User
Charleston
38
11
User
Charleston
35
12
User
Spartanburg
35
13
User
Carolina Forest
33
14
User
Carolina Forest
33
15
User
Charleston
33
16
User
Santee
32
17
User
Charleston
31
18
Victor Martinez
Sumter
31
19
User
Charleston
31
20
User
Greer
29
21
User
Carolina Forest
29
22
User
Oak Grove
28
23
User
Fort Mill
27
24
User
Spartanburg
26
25
giovanna
Bluffton
26
26
User
Clemson
25
27
User
Columbia
25
28
User
Fort Mill
22
29
User
Summerville
21
30
User
Camden
21
31
User
Mount Pleasant
21
32
User
North Charleston
20
33
User
Columbia
20
34
User
Greenville
20
35
User
Columbia
19
36
User
Columbia
18
37
John
Columbia
17
38
User
Florence
17
39
User
Mount Pleasant
16
40
User
Spartanburg
16
41
Michael Lawl
Myrtle Beach
16
42
User
Mount Pleasant
15
43
User
Greenville
15
44
User
Goose Creek
15
45
User
West Columbia
14
46
User
Columbia
14
47
User
Hilton Head Island
13
48
User
Columbia
12
49
User
Murrells Inlet
12
50
User
Fort Mill
11
51
User
Charleston
11
52
User
Camden
11
53
User
Mount Pleasant
11
54
User
Socastee
10
55
User
Boiling Springs
10
56
User
Charleston
10
57
User
Columbia
10
58
User
North Augusta
10
59
User
Charleston
10
60
User
Columbia
10
61
User
Red Hill
9
62
User
Greer
9
63
User
Greenville
9
64
User
Mount Pleasant
8
65
User
Sumter
8
66
User
Greenville
8
67
User
North Augusta
8
68
User
Hartsville
8
69
User
Summerville
8
70
User
Myrtle Beach
8
71
User
Cheraw
7
72
User
Laurens
7
73
Ashlyn Whittemore
Charleston
7
74
User
Spartanburg
7
75
User
Spartanburg
7
76
User
Myrtle Beach
7
77
User
Fort Mill
7
78
User
Charleston
6
79
User
Columbia
6
80
User
Clover
6
81
User
Fort Mill
6
82
User
Columbia
6
83
Chris Gregory
Simpsonville
5
84
User
Loris
5
85
User
Irmo
5
86
User
Charleston
5
87
Joel Cheek
Liberty
5
88
User
Summerville
5
89
User
Florence
5
90
User
Florence
5
91
User
Irmo
5
92
Yummy Berry
Greer
5
93
User
Simpsonville
4
94
User
Columbia
4
95
User
Lancaster
4
96
User
Anderson
4
97
User
Blythewood
4
98
User
Hartsville
4
99
bella
Greenwood
3
100
User
Greenville
3
101
User
Travelers Rest
3
102
User
Summerville
3
103
User
Goose Creek
3
104
User
Fort Mill
3
105
User
Darlington
3
106
User
Anderson
3
107
User
Greenville
3
108
User
Myrtle Beach
3
109
User
Goose Creek
3
110
User
Charleston
3
111
User
Goose Creek
3
112
User
Blythewood
3
113
User
Barnwell
3
114
User
Columbia
3
115
User
Greenville
2
116
User
Five Forks
2
117
User
Anderson
2
118
User
Goose Creek
2
119
User
Greenville
2
120
User
Summerville
2
121
User
Johnston
2
122
Noelle Mitchell
Conway
2
123
User
Goose Creek
2
124
User
Charleston
2
125
User
Columbia
2
126
User
Anderson
2
127
User
Socastee
2
128
User
Anderson
2
129
User
Columbia
2
130
User
Chapin
2
131
User
Newberry
2
132
User
Indian Land
2
133
User
Centerville
2
134
User
Fort Mill
2
135
User
Columbia
2
136
User
Inman
2
137
User
Dunean
1
138
User
Saint Stephen
1
139
User
Columbia
1
140
User
Anderson
1
141
User
Kingstree
1
142
User
Camden
1
143
User
Sans Souci
1
144
User
Anderson
1
145
User
Gaffney
1
146
User
Dentsville
1
147
User
Shaw Air Force Base
1
148
User
Sumter
1
149
User
Summerville
1
150
Blake Boyd
Columbia
1
151
Troy Palmer
Anderson
1
152
Jackie Crooks
Red Bank
1

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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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