How to write the division with remainders?

The method of checking the division method is: quotient divisor = dividend; The method of checking the division with remainder is: quotient divisor + remainder = dividend so the answer is: quotient, divisor, dividend; quotient, divisor, remainder, dividend

Start by taking the divisor + the number calculated on it, and then add the remainder.

The quotient is multiplied by whether the divisor plus the remainder is equal to the dividend.

The 842 4 vertical should be listed as follows:

This is an effective application involving mathematical addition, subtraction, multiplication and division, as well as the four mixed operations, and it is necessary to be familiar with the rules in order to achieve accurate and fast calculation results.

Quick calculation of addition. One. Rounding addition.

The integer addition method is the rounding addition method, which is to make up the whole number first and then add the difference, and you can calculate it quickly. 8+7=15 When calculating, first make 8 into 10, 8 plus 2 equals 10, 7 minus 2 equals 5, 10, 5=15

For example, 17 9 = 26 The calculation program is 17 + 3 = 20 9-3 = 6 20 + 6 = 26

IIComplement addition.

The speed of complement addition is fast, mainly because there is no trouble of carrying bit by bit. A complement is the sum of two numbers, which is 10, 100, 1000, and so on. 8+2=10 78+22=100 8 is a complement of 2, 2 is a complement of 8, 78 is a complement of 22, and 22 is a complement of 78.

The method of addition using complements is to add 1 to the 10 digits, and subtract the complements to the single digits.

For example, 6+8=14 is calculated by adding 1 to the 10th place of 6 to make 16, and then subtracting the complement 2 of 8 from 16 to get 14

For example, 6+7=13, first 6+10=16, then 16-3=13

For example, 27 + 8 = 35 27 + 10 = 37 37-2 = 35

For example, 25 + 85 = 110 25 + 100 = 125 125-15 = 110

For example, 867 + 898 = 1765 867 + 1000 = 1867 1867-102 = 1765

Three. Addition of swapping positions.

Two ten-digit swap positions, there is a quick calculation method: ten digits plus one digit, and one and is double, and is two digits plus and row**.

For example, 61 16 77, the calculation program is 6 1 7 7 is one single number, and the sum is double, that is, two 7, 61 + 16 = 77 and 83 38 121 The calculation program is 8 3 11 11 is a two-digit number, and the two digits are added to 1 1 2 rows**, and 2 are arranged in the middle of 11, and 121 is obtained.

Quick calculation of subtraction. One. Subtract two people from one complement subtraction.

The complementary subtraction of two digits minus one digit is: ten digits minus 1, and single digits plus complement. For example, 15 8 7, 15 minus 10 equals 5, 5 plus single digit 8 complement 2 equals 7.

IIMulti-digit complement subtraction.

Complement subtraction is the method of subtracting 1 and supplementing, and subtracting two from three digits: 100 minus 1, 100 plus supplement, such as 268 89 179, the calculation procedure is 268 minus 100 is equal to 168, and 168 plus 89 complement 11 is equal to 179.

Multiplication is mainly used to check division. Division with remainders, also known as division with remainders, is the first thing to understand is the concept of remainders. I'm Ms. Wang, and I'm focusing on Primary Math!

The basic meaning of division is to distribute equally, if there is a surplus after the distribution of some items equally, it needs to be expressed by a division equation with a remainder, where the remainder is the remainder, (the remainder is a part of the total)! How can I check if the calculation is correct? The following examples are explained in detail for your reference!

Division with remainder. For example, if 53 pencils are divided equally among the children, and each person is divided into 5, how many children can be divided into them, and how many are left?

The column solution with division is 53 5=10 (person) ......3 (branches).

The names of the sections are as follows:

Design check with residual division.

Multiplication calculation is the foundation, and the steps of division calculation must be clear.

The remainder is part of the total.

From the equation: 53 5 = 10 (person) ......3 (branch), we can see that the remainder is the same as the unit of the dividend, which is the remaining part of the total after the equal distribution. In this way, the total can be divided into the part that is divided equally according to the requirements (5 sticks 10) plus the remaining part (3 sticks).

5 10 + 3 = 53, this is the method of using multiplication. It is also possible to derive other design methods based on the relationship between the whole and the part.

Today we will learn how to write the vertical form of division with remainders, and we will master 1Format of vertical calculation of division, 2The meaning of the parts in the vertical type, 3

The position of the dividend, divisor, quotient, remainder in the vertical, 4Format requirements: the same digits should be aligned, and the horizontal lines should be drawn with a ruler.

The main problem with today's assignment is that the format of the writing is incorrect, the same digits are not aligned, and the horizontal lines are drawn by hand. When writing the vertical type, the children should be like the vertical type of addition and subtraction, and the same digits should be aligned.

When performing the calculation, it is calculated according to the obtained quotient and remainder combined with the divisor, and the obtained number is checked to see if it is equal to the dividend.

Let's take an example to explain the design process.

Calculations: 7 2 3 ......1

The check is: 2 3 + 1 7

The calculation results of the check are correct.

Therefore, when checking the remainder, it is necessary to multiply the quotient and divisor obtained from the operation and add the remainder, that is:

quotient, divisor, remainder, dividend

The calculation is correct.

Dividing three digits by one digit is the content of the third grade people's education version, because my baby just learned it some time ago, so I still know better! Children must use a ruler to draw lines, so beautiful!

The delineation hood with remainder design can be performed in two ways, one using multiplication and the other using addition and subtraction.

The first method is to multiply the quotient by the divisor, add the remainder, and if the orange fruit is equal to the dividend, the calculation is correct. For example, for Eq. 37 5, the quotient is 7 and the remainder is 2.

Then, 7 times 5 plus 2 equals 37, indicating that the calculation is correct.

The second method is to multiply the quotient by the divisor, plus the remainder, which should be equal to the dividend minus the remainder. i.e. quotient divisor + remainder = dividend – remainder.

For example, for Eq. 37 5, the quotient is 7 and the remainder is 2. Then, 7 times 5 plus 2 should equal 35, and 37 minus 2 also equals 35, indicating that the calculation is correct.

Either way, as long as the verification result is the same as the dividend, the calculation is correct.

Solution: The division with remainder can be multiplied by the divisor with the quotient and the remainder, which is equal to the dividend. Namely.

Quotient x divides by tens of remainders = dividend.

Or. Divisor is a remainder) Quotient Orange Mess = Divisor.

For example, 89 9 = 9 ......8

Check: 9x9 ten 8 = 89

89-8) 9=9

Quotient x divisor + remainder = dividend.

DividendDivide byDivisor, equal toquotient, the remainder of the divisible isThe number of remaining buried rocks. In turn, according to the law of multiplication and divisionquotientMultiplyThe divisor bendsofproduct, add the macro on itRemainder, which is equal toDividend

For division with remainders, as long as the quotient and the divisor are multiplied, plus the remainder equals the dividend.

Analysis: Dividend Divisor = quotient ......Remainder, when checking, quotient divisor + remainder = dividend.

The dividend divisor quotient ......Remainder, check: divisor quotient + remainder to be divided.

It can be calculated using division, but the method is more cumbersome.

Step 1: The integer part, directly open the square, calculate the closest number, and you can get the remainder.

Step 2: Calculate the decimal part of the square, which is the most cumbersome part and more troublesome.

First of all, the remainder part of the direct part of the bridge is expanded by a hundred times, and the divisor part is directly multiplied by 20 times, plus another divisor.

The process is as follows: the integer part.

Decimal part: <>

<> the latter part can continue to calculate the first fierce, the more difficult it is to calculate later, the previous text explanation part may not be very clear, please forgive me, you can look at the remaining part of the calculation, and find the law yourself.

The remainder check is as follows:1. The formula for calculating the remainder is as follows: the remainder is the number remaining after the dividend is obtained from the divisor.

2. The remainder is the number left over when a number is not divisible by the divisor.

3. When the calculation is carried out, it is based on the obtained quotient and remainder combined with the divisor, and the calculation is not carried out, and the number obtained is not equal to the dividend.

4. Take an example to explain the calculation process: calculation: 7 quotient 3 remainder is 1. The calculation process is: quotient divisor + remainder. That is: 2 3 + 1, the result is 7 = dividend, and the calculation result of the check is correct.

5. Therefore, when the remainder is checked, it is necessary to multiply the quotient and the divisor obtained from the operation and add the remainder, that is: quotient divisor + surplus liter section = dividend, and the calculation result is correct.

7 kinds. The way to calculate the division with remainder is: quotient * divisor + remainder = dividend, so the answer is quotient, divisor, dividend, quotient, divisor, remainder, dividend.

If the remainder is greater than or equal to the divisor, the answer to the original question is incorrect. On the premise that the remainder is less than the divisor, the calculation is calculated according to the dividend = divisor quotient + remainder. On the premise that the remainder is less than the divisor, the calculation is calculated according to the divisor = (dividend - remainder) quotient or quotient = (dividend - remainder) divisor.

In a division equation with remainders, the quotient multiplication of the divisor plus the remainder equals the dividend is true. Dividend divisor = quotient + remainder (divisible with 0) divisor = (dividend - remainder) quotient (divisible with 0) dividend = divisor quotient + remainder (divisible with 0).

The quotient is multiplied by the divisor plus the remainder.

Hello! 842 divided by 4 equals 210, and the remainder is 2. The mathematical formula is 842 4 = 210....2. The vertical division operation is shown in the figure below.

Vertical, refers to the change of each transition number from the previous transition number, the single digit of the previous transition number multiplied by 2, if you need to carry the digit, then advance to the front by 1, and then the single digit rises by 10 digits, and so on, and the single digit is filled with a new operation number.

For example, 42 is divided by 7, starting from 4 divided by high to low. When the division method is calculated vertically, it starts to divide from the highest digit, for example: 42 is divided from the highest ten digit 4; If you can't get rid of it, such as:

4 cannot be divided by 7, so divide by combining the highest digit and the next digit into a number until you can divide by the divisor; For example, if 42 is divided by 7 and 4 cannot be divided by 7, 4 and 2 are combined into a number 42 to divide 7, and the quotient is 6.

Hello, 842 4=210....2. As shown in the figure below, the vertical calculation process:

To illustrate this relationship more fully, let's look at how the marginal output (MPL) of labor relates to the marginal cost (MC). Let's assume that the cost of an additional worker is $500 and the marginal output is 50 cases of apples. In this case, it costs $500 to produce an additional 50 cases of apples, and the marginal cost of a case of apples is $500 for 50, or $10.

More generally, if w is the wage, and moreover, an additional unit of labor produces the output of a unit of MPL, then the marginal cost of a unit of production is MC W MPL.

This analysis shows that the marginal decline in output is closely related to the increase in marginal cost. When our apple orchards are crowded with workers, each additional worker increases apple production (MPL decreases). Similarly, when an apple business produces a large number of apples, the apple orchard is already crowded with workers, so that the cost of producing an extra box of apples increases (MC increases).

Now consider our profit maximization criteria. We have previously established that profit-maximizing firms choose the amount of labor so that the marginal value of output (p mpl) of labor equals wages. We use a mathematical formula to write this:

p×mpl＝w

If we divide the two sides of this equation by the mpl, we get.

p=w/mpl

We just mentioned that W MPL is equal to the marginal cost MC. Therefore, we can derive the above formula on behalf of others.

p=mc