The quick calculation of division is 40, and how to calculate division is the easiest and fastest

Division Quick Calculation High School Results. For example, 1 199 = one second to write out the bitwise result.

Our regular multiplication algorithm:

This kind of algorithm is obviously not suitable for mental arithmetic (quick calculation), because the intermediate result of your calculation has to be put there first, and our brain has fewer registers, and if you want to memorize more, you need to put it in external memory (hard disk), and the speed must be relatively slow.

But our eyes, hands (inputs and outputs) are also slow, but they are of the same order of magnitude relative to our computing speed. The computer is basically eliminated in the process because the CPU calculation is too fast, and the input and output are too bottlenecked.

Someone else's invention of a multiplication quick calculation algorithm:

Basically, answer 156 can be written directly

Long-term practice can be carried without the restriction of carrying, and do not start from a single digit, but from a high position.

This kind of algorithm obviously has very few intermediate processes, what is needed, directly calculates the output based on the input, and then the next one. In fact, it is also output while calculating. It feels amazing to come straight to the answer.

Division, but I haven't gotten a good quick calculation algorithm (the kind of division by 25 or something, of course, is too simple to calculate).

When I was in high school, I kept thinking about it, and one day I finally got a partial (and okay) division algorithm.

Let's start with the traditional division calculation process:

1 Cycle We can write the results very quickly.

At this point, if we don't think about loops and continue to calculate, but we know the result, is it that we are computationally fast now? Write the results directly? Isn't it just the quick calculation we need?

Now the question is when there has to be a loop, so let's consider what exactly is a loop, that is, the remainder is the same as the previous dividend, that is, doubled, so what about the different situation? For example, 2 times, 3 times, n times? 1/2, 1/n?

The answer is obvious.

For example, 100 = 14 * 7 + 2

That is, 1 7=...

Now we're going to calculate 2 7, we don't have to do it anymore, but we have to use some of the calculations we already have, 10 7 5 = 2 7 then 2 7 =... /5 =。。。

Let's calculate 1 7=

Did you calculate it quickly?

Specifically, you can go into the following ** to see, I read it here, and there are many similar ones on the Internet, you can also search for it yourself.

The Chinese abacus is the fastest arithmetic tool in the world besides calculators.

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High Recruitment Admission Process:

1) Submission, online admission - the Municipal High School Recruitment Office will transmit the candidates' electronic file information to the computer management system of the enrollment institution through the network, and the proportion of the file is generally not higher than 120%, and the enrollment school will review the candidate's electronic file to decide whether to admit or not, and the electronic file includes the candidate's registration form, physical examination form and comprehensive information.

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6) Order--The Municipal High School Recruitment Office prints the "Admission Candidate Information Confirmation Form" and the roster of new students, stamps the special seal of the Municipal High School Recruitment Office and mails it to the university.

7) Notification - The university fills in the "Admission Notice" and sends it to the candidate himself through the post office together with the "Admission Candidate Information Confirmation Form".

Division Calculation Method].

In the division of integers, there are only two cases: divisible and indivisible. When it is not divisible, remainders are generated, so the remainder problem is very important in elementary school mathematics.

1) The absolute value of the difference between the remainder and the divisor should be less than the absolute value of the divisor (applicable to the field of real numbers);

2) Dividend = Divisor Quotient + Remainder;

divisor = (dividend - remainder) quotient;

quotient = (dividend - remainder) divisor;

Remainder = Dividend - Divisor Quotient.

3) If the remainder of a, b divided by c is the same, then the difference between a and b is divisible by c. For example, the remainder of 17 and 11 divided by 3 is 2, so 17-11 is divisible by 3.

4) The remainder of the sum of A and B divided by C (except in the absence of a remainder of the two numbers A and B divided by the skewer C) is equal to the sum of the remainders of A and B divided by C respectively (or the remainder of this sum divided by C). For example, the remainders of 23,16 divided by 5 are 3 and 1, respectively, so the remainder of (23+16) divided by 5 is equal to. Note:

When the sum of the remainders is greater than the divisor, the remainder is equal to the sum of the remainders divided by the remainder of c. For example, the remainders of 23,19 divided by 5 are 3 and 4, respectively, so the remainder of (23+19) divided by 5 is equal to the remainder of (3+4) divided by 5.

5) The product of a and b divided by the remainder of c is equal to the product of a, b divided by the remainder of c (or the remainder of this product divided by c). For example, the remainders of 23,16 divided by 5 are 3 and 1, respectively, so the remainder of (23+16) divided by 5 is equal to. Note:

When the product of the remainder is greater than the divisor, the remainder is equal to the product of the remainder divided by the remainder of c. For example, the remainders of 23,19 divided by 5 are 3 and 4, respectively, so the remainder of (23 19) hand not divided by 5 is equal to the remainder of (3 4) divided by 5.

Properties (4) and (5) can be generalized to the case of multiple natural numbers.

Division is displacement and subtraction.

Example: 99 is 1100011 in binary

5 is the 101 precedent 1100011 - 1010000 = 10011 (where binary 1010000 = 5 times 2 to the power of 4).

10011 - 1010 = 1001 (where binary 1010 = 5 times 2 to the power of 1).

Then 1001 - 101 = 100 (where binary 101 = 5 times 2 to the power of 0).

Finally, the quotient is 2 4 + 2 1 + 2 0 = 16 + 2 + 1 = 19 (representing the power of power).

The remainder is binary 100 = 4

Give an example:

Example: (111011)2 1011)2 The equation is as follows: (Because it is not convenient to write in the form of division operation in the web page, it is written as follows.) )

1 0 1 1 quotient 1

1 1 1 The last 1 is 1110 1 1 1 The 1 after "0" falls.

1 0 1 1 quotient 0

1 1 1 1 The last 1 is the one that fell from above.

1 0 1 1 quotient 1

1 0 0 remainder 100

So (111011)2 1011)2 quotient is (101)2, and the remainder is (100)2

Zen auspicious formula for division.

1Commutative law: a b c = a c b

2. Associative law. a b c = a ( b c ) 3 distribution law peiqing: a (b + c) = a b + a c

Summary. Hello dear how to calculate the division: A:

Division is an operation, and its rules of operation are: divide the dividend by the divisor, and the result obtained is the quotient, where the dividend is the dividend and the divisor is the divisor. For example:

Calculation: 20 4 Answer: 20 4 = 5

Hello dear division how to answer the skin: A: Division is an operation, and its rules of operation are:

Divide the dividend by the divisor of Ran Chunhui, and the result obtained is the quotient, where the dividend is the dividend, and the divisor is the divisor. Example: Calculation:

20 4 Answer: 20 4 = 5

In addition to which merchant is which is good, which is not enough to occupy a place. After each division, the remainder should be smaller than the divisor. Formula:

Dividend divisor = quotient; Dividend quotient = divisor; Quotient * divisor + remainder = dividend.

How do I quickly count working days?

Division is the inverse of multiplication, and if the quick calculation of multiplication is improved, the quick division will be easily solved. The quick calculation of division achieves the purpose of looking at the problem to get the result. For example:

Division is one of the four operations. Knowing the product of two factors and one of the factors, the operation of finding the other factor is called division.

The division of two numbers is also called the ratio of two numbers. If ab=c(b≠0), the operation of finding another factor a using the product c and the factor b is division, written as c b, which is read as c divided by b (or b divided by c). where c is called the dividend, b is called the divisor, and the result a is called the quotient.