How long division works

How long division works
How long division works
Anonim

Unfortunately, children these days have little or no ability to do mental arithmetic. This happened due to the fact that modern technologies offer each child to solve the problem with a couple of clicks. For many children, the Internet has replaced not only textbooks, but also certain skills. Increasingly, you can hear from the younger generation that it is not at all necessary to know mathematics, since there is always a calculator or a telephone at hand. But the true meaning of this science lies in the development of thinking, and not in overcoming the fear of being deceived by a trader in the market.

division into a column
division into a column

The division into a column helps elementary school students to get acquainted with operations on numbers. Thanks to him, the multiplication table is fixed in memory, and the skill of performing addition and subtraction operations is honed.

To perform this arithmetic operation, you need to get acquainted with its components:

1. The dividend is the number that is being divided.

2. The divisor is the number by which to divide.

3. The quotient is the result of division.

4. The remainder is the portion of the dividend that cannot be divided.

American and European division models incolumn

column division rules
column division rules

The rules for dividing into a column are the same in all countries. There is only a difference in the graphic part, that is, in its recording. In the European system, a dividing line, or the so-called corner, is placed on the right side of the divisible number. The divisor is written above the line of the corner, and the quotient is written below the horizontal line of the corner.

The division into a column according to the American model provides for setting a corner on the left side. The quotient is written above the horizontal line of the corner, directly above the divisible number. The divisor is written under the horizontal line, to the left of the vertical line. The process of performing the action itself does not differ from the European model.

Double-digit division by a column

division by a two-digit number
division by a two-digit number

To divide a multi-digit number into a two-digit one, you need to write it according to the scheme, and then perform the action. Long division begins with the highest digits of the divisible number. The first two digits are taken if the number formed by them is greater than the divisor in value. Otherwise, the first three digits are separated. The number formed by them is divided by the divisor, the remainder goes down, and the result is written in the dividing corner. After that, the digit from the next digit of the divisible number is transferred, and the procedure is repeated. This continues until the number is completely divided.

If it is necessary to divide a number with a remainder, then it is written separately. If you want to completely divide the number, then after the end of the digitsnumber in the answer, a comma is put, indicating the beginning of the fractional part, and instead of bit numbers, zero is carried down each time.

Column division develops mindfulness and perseverance, logical thinking and memory. It is important to remember how this activity is performed so that you can share precious knowledge with your children and help them with their homework if necessary.

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