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Mental calculation Psychology Wiki Fandom

10 hours ago

  • Multiplying by 10 (and powers of ten) Multiplying by 10 (and powers of ten) To multiply an integer by 10, simply add an extra 0 to the end of the number. To multiply a non-integer by 10, move the decimal point to the right one digit. In general for base ten, to multiply by 10n (where n is an integer), move the decimal point n digits to the right. If n is negative, move the decimal |n| digits to the left.
  • Multiplying two 2 digit numbers between 11 and 19 Multiplying two 2 digit numbers between 11 and 19 To easily multiply 2 digit numbers together between 11 and 19 a simple algorithm is as follows: 1a x 1b 100 + 10 * (a+b) + a*b which can be visualized as: 1 xx yy for example: 17 * 16 1 13 42 272
  • Using hands: 6-10 multiplied by another number 6-10 Using hands: 6-10 multiplied by another number 6-10 This technique allows a number from 6 to 10 to be multiplied by another number from 6 to 10. Assign 6 to the little finger, 7 to the ring finger, 8 to the middle finger, 9 to the index finger, and 10 to the thumb. Touch the to desired numbers together. The point of contact and below is considered the "below" section and everything above the two fingers that are touching are part of the "above" section. For example, 6 × 9 would look like this: -10-- --9-- --8-- (above) -10-- --7-- ==================== --9-- --6-- left index and right little finger are touching --8-- (below) --7-- --6-- (9 × 6) -10-- -10-- --9-- --9-- --8-- --8-- --7-- --7-- --6-- --6-- Here are two examples: 9 × 6 above: -10-- --9-- --8-- -10-- --7-- below: --9-- --6-- --8-- --7-- --6-- - 5 fingers below make 5 tens - 4 fingers above to the right - 1 finger above to the left the result: 9 × 6 = 50 + 4 × 1 = 54 6 × 8 above: -10-- --9-- --8-- -10-- --7-- --9-- below: --6-- --8-- --7-- --6-- - 4 fingers below make 4 tens - 2 fingers above to the right - 4 fingers above to the left result: 6 × 8 = 40 + 2 × 4 = 48 How it works: each finger represents a number (between 6 and 10). Join the fingers representing the numbers you wish to multiply (x and y). The fingers below give the number of tens, that is (x − 5) + (y − 5). The digits to the upper left give (10 − x) and those to the upper right give (10 − y), leading to [(x − 5) + (y − 5)] × 10 + (10 − x) × (10 − y) = x × y.

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Do Quick Calculations with Mental Shortcuts

4 hours ago Nov 18, 2009 . Fives Times: If you have a multiplication of five, then an easy way to find the answer is to half the multiplied number and times by ten. For …

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Mental calculation - Wikipedia

3 hours ago

  • Multiplying any 2-digit numbers[edit] Multiplying any 2-digit numbers[] To easily multiply any 2-digit numbers together a simple algorithm is as follows (where a is the tens digit of the first number, b is the ones digit of the first number, c is the tens digit of the second number and d is the ones digit of the second number): ( 10 a + b ) ⋅ ( 10 c + d ) . F meaning first, O meaning outer, I meaning inner and L meaning last. For example: 75 ⋅ 23 {\displaystyle 75\cdot 23} and a b ⋅ c d {\displaystyle ab\cdot cd} where 7 is a, 5 is b, 2 is c and 3 is d. Consider a ⋅ c ⋅ 100 + ( a ⋅ d + b ⋅ c ) ⋅ 10 + b ⋅ d {\displaystyle a\cdot c\cdot 100+(a\cdot d+b\cdot c)\cdot 10+b\cdot d} this expression is analogous to any number in base 10 with a hundreds, tens and ones place. FOIL can also be looked at as a number with F being the hundreds, OI being the tens and L being the ones. a ⋅ c {\displaystyle a\cdot c} is the product of the first digit of each of the two numbers; F. ( a ⋅ d + b ⋅ c ) {\displaystyle (a\cdot d+b\cdot c)} is the addition of the product of the outer digits and the inner digits; OI. b ⋅ d {\displaystyle b\cdot d} is the product of the last digit of each of the two numbers; L.
  • Multiplying by 2 or other small numbers[edit] Multiplying by 2 or other small numbers[] Where one number being multiplied is sufficiently small to be multiplied with ease by any single digit, the product can be calculated easily digit by digit from right to left. This is particularly easy for multiplication by 2 since the carry digit cannot be more than 1. For example, to calculate 2 × 167: 2×7=14, so the final digit is 4, with a 1 carried and added to the 2×6 = 12 to give 13, so the next digit is 3 with a 1 carried and added to the 2×1=2 to give 3. Thus, the product is 334.
  • Multiplying by 10 (and powers of ten)[edit] Multiplying by 10 (and powers of ten)[] To multiply an integer by 10, simply add an extra 0 to the end of the number. To multiply a non-integer by 10, move the decimal point to the right one digit. In general for base ten, to multiply by 10n (where n is an integer), move the decimal point n digits to the right. If n is negative, move the decimal |n| digits to the left.
  • Squaring an integer from 26 to 74[edit] Squaring an integer from 26 to 74[] This method requires the memorization of squares from 1 to 24. The square of n (most easily calculated when n is between 26 and 74 inclusive) is (50 − n)2 + 100(n − 25) In other words, the square of a number is the square of its difference from fifty added to one hundred times the difference of the number and twenty five. For example, to square 62: (−12)2 + [(62-25) × 100] = 144 + 3,700 = 3,844
  • Squaring an integer near 100 (e.g., from 76 to 124)[edit] Squaring an integer near 100 (e.g., from 76 to 124)[] This method requires the memorization of squares from 1 to a where a is the absolute difference between n and 100. For example, students who have memorized their squares from 1 to 24 can apply this method to any integer from 76 to 124. The square of n (i.e., 100 ± a) is 100(100 ± 2a) + a2 In other words, the square of a number is the square of its difference from 100 added to the product of one hundred and the difference of one hundred and the product of two and the difference of one hundred and the number. For example, to square 93: 100(100 − 2(7)) + 72 = 100 × 86 + 49 = 8,600 + 49 = 8,649 Another way to look at it would be like this: 932 = ? (is −7 from 100) 93 − 7 = 86 (this gives the first two digits) (−7)2 = 49 (these are the second two digits) 932 = 8649 Another example: 822 = ? (is −18 from 100) 82 − 18 = 64 (subtract. First digits.) (−18)2 = 324 (second pair of digits. One will need to carry the 3.) 822 = 6724
  • Squaring any integer near 10n (e.g., 976 to 1024, 9976 to 10024, etc.)[edit] Squaring any integer near 10n (e.g., 976 to 1024, 9976 to 10024, etc.)[] This method is a straightforward extension of the explanation given above for squaring an integer near 100. 10122 = ? (1012 is +12 from 1000) (+12)2 = 144 (n trailing digits) 1012 + 12 = 1024 (leading digits) 10122 = 1024144 99972 = ? (9997 is -3 from 10000) (-3)2 = 0009 (n trailing digits) 9997 - 3 = 9994 (leading digits) 99972 = 99940009

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Fast Arithmetic Tips: Getting the Result Fast

11 hours ago First, as before, add the last digit (4) to the number itself (14) to get 18 = 14 + 4. Next, again as before, square the last digit: 4² = 16. You'd like to append the result (16) to the sum (18) getting 1816 which is clearly too large, for, say, 14 < 20 so that 14² < 20² = 400.

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Turn Your Brain Into A Calculator With These Mental Math

6 hours ago For easy and fast mental math calculations, you should add or subtract from the left to the right. For example, adding 340 + 215 will quickly give you the answer: 555. In case of carrying forward numbers, just add it to the digit before them, like 340 + 285 = 625. Remember Your Tables. It is essential that you remember your basic tables of 12 ...

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30 fast mental math Tricks : EasyCal Secrets of Mental

12 hours ago Given below are some of the amazing tricks you will learn in ' the EasyCal Series of Faster Math Videos '. 1. Mental Addition Trick - You are not required to write down even a single step. You can directly scan the numbers using your eyes. In fact with little practice you do not even have to see the written numbers.

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Quick Mental Calculation : ChemicalEngineering

12 hours ago Example below: So, if someone ask you about the size of a piping to move 150 m3/h of water. Then you go: - 150 m3/h is about 42 liters per second (40 is 144, 50 is 180) - 3 meters per second: is 42/3 = 14 liters per meter. - 14 x 2 = 28. - Square Root of 28 = more than 5 less than 6. A 6" pipe is your answer.

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6 Prodigies in Mental Math Calculation Who Stunned the

9 hours ago Jun 29, 2013 . The 6 Stunning Mental Math Calculators. 1. Shakuntala Devi (November 4, 1929 – April 21, 2013) Shakuntala Devi was considered as a “Human Computer.”. In 1977, she computed the cube root of 188138517 faster than a computer. In the same year, when asked the 23d root of a 201-digit number, she answered correctly in 50 seconds.

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Mental Math Test Arithmetic speed test Train mental

11 hours ago Arithmetic calculations can be trained and Rankyourbrain provides a great way to maximize your results and speed for any mental math test. Apply your mental math tricks and post your highscore on our leaderboards! Get as many correct answers as possible within the given time limit. Every correct answer will add a point to your score.

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Mental Addition Trick - Add faster than a calculator

10 hours ago How to instantly add large sets of single digit numbers mentally. Using this mental math method you will be able to add any number of one digit numbers with...

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Quick Calculations- Mental Subtraction - YouTube

11 hours ago Learn to subtract numbers mentally in Seconds. Easy method

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Quick Maths - Mental Math Booster - Apps on Google Play

7 hours ago Get Quick Maths PRO for an Ads Free experience. Do you have trouble with basic mental calculations? Sharp your basic maths skills with Quick Maths. Four basic operations, • Addition • Subtraction • Division • Multiplication You may select one or multiple operations at the beginning.

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‎Quick mental calculation on the App Store

3 hours ago ‎Read reviews, compare customer ratings, see screenshots, and learn more about Quick mental calculation. Download Quick mental calculation and enjoy it on your iPhone, iPad, and iPod touch. ‎Game to enter within a certain period of time the answer of mental arithmetic calculations will appear on the exam.

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Can You Pass This Mental Calculation Math Quiz

6 hours ago To find 25% of 60,000, just find 10%, which is 6,000. To find 20%, just double 10% (6,000 x 2 = 12,000). To find 5%, just split 10% in half (6,000/2 = 3,000). Then add the results together (12,000 + 3,000 = 15,000). Advertisement Monday started with 275 books in the library. A total of 125 were checked out and 75 were returned.

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How to Calculate Faster Than a Calculator « Math

4 hours ago Nov 01, 2007 . Start by taking the first digit of the first number (2 for 24) and multiplying that by the number directly higher than it, which will give you the first digit (s) of the answer. So for 24 multiplied by 26, it would be 2 (first digit in first number) multiplied by 3 (one digit higher) = 6.

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Quick Calculate - Math Playground

3 hours ago Common Core Connection for Grades 4+. Apply properties of operations as strategies to add and subtract. Add within 100, including adding a two-digit number and a one-digit number. Fluently multiply and divide within 100. Use parentheses, brackets, or braces and evaluate expressions with these symbols.

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Get Mental Calculation - Microsoft Store

10 hours ago This app help you to continuously improve your head calculation skills. Thanks to the many setting possibilities (Range of Numbers [1 to 9999], Decimal fractions [0.0 to 0.000], Calculations per test [1 to 100], Operators [Addition, Subtraction, Multiplication] and the test mode [manually or automatically] can customize the level of difficulty exactly your skills.

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Mental Math Trainer: Tricks To Become a Human Calculator

3 hours ago Up to10%cash back . The secret of doing mental math is to calculate from left to right instead of from right to left. This is the opposite of what you have been taught in school. Lets try to do the earlier example where we multiplied 73201 x 3. This time multiply from left to right, so we get 7 x 3 = 21 3 x 3 = 9 3 x 2 = 6 0 x 3 = 0 3 x 1 = 3

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10 Tips to Improve Your Mental Math Ability - Gizmodo

6 hours ago Feb 23, 2017 . Calculate 600+680, which is 1280, and then take away that additional 7 to get the correct answer, 1273. You can do a similar thing with multiplication. For 89x6, calculate 90x6 instead, and then...

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Frequently Asked Questions

  • What is an example of a mental calculation?

    Mental Calculations - Getting the result fast. When adding 5 to a digit greater than 5, it is easier to first subtract 5 and then add 10. For example, 7 + 5 = 12. Also 7 - 5 = 2; 2 + 10 = 12. When subtracting 5 from a number ending with a a digit smaller than 5, it is easier to first add 5 and then subtract 10.

  • Is it 100% mental subtraction or mental multiplication?

    It is 100% mental subtraction 3. Mental Multiplication - Using this trick you would be able to multiply let's say a 3 digit number with another 3 digit number mentally . 4.

  • What is the easiest way to add numbers mentally?

    Mental Addition Trick - You are not required to write down even a single step. You can directly scan the numbers using your eyes. In fact with little practice you do not even have to see the written numbers. You can add mentally by just hearing the numbers being called out.

  • What is it called when you use your mind to calculate?

    People with unusually high ability to perform mental calculations are called mental calculators or lightning calculator s. Many of these techniques take advantage of or rely on the decimal numeral system. Usually, the choice of radix is what determines which method or methods to use.

  • What is the meaning of mental calculation?

    Mental calculation is the practice of doing mathematical calculations using only the human brain, with no help from any computing devices. It is practiced as a sport in the Mind Sports Olympiad. Mental calculation is said to improve mental capability, speed of response, memory power and concentration. [ How to reference and link to summary or text]

  • What is the mental calculation World Cup?

    The Mental Calculation World Cup has been organized every 2 years since 2004 by Ralf Laue. It is a very friendly event and attracts many of the world’s biggest Mental Math talents. This Mental Math competition is usually held somewhere in Germany in Autumn.

  • What is it called when you use your mind to calculate?

    People with unusually high ability to perform mental calculations are called mental calculators or lightning calculator s. Many of these techniques take advantage of or rely on the decimal numeral system. Usually, the choice of radix is what determines which method or methods to use.

  • What are some of the best books on mental calculation?

    Mental Calculation, an Art, Apart: Willem Bouman’s book carries a wealth of knowledge and easy-to-follow detailed techniques -from one of the world’s leading mental calculators. ISBN: 9781731343444.

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