Quotient invariable computing power

1. There are both. You can use either vertical or horizontal, or score. Well, if the divisor and divisor multiply or divide a non-zero number at the same time, it will remain unchanged.

2.

The property of quotient invariance is that divisor and divisor expand at the same time

The operational properties of division are as follows: the divisor expands (shrinks) n times, the divisor remains unchanged, and the quotient expands (shrinks) n times

The divisor expands (shrinks) n times, the divisor remains unchanged, and the quotient shrinks (expands) n times correspondingly

The divisor divided by two divisors is equal to the proct of the two divisors

Relevant formulas of division:

1 ÷ Divisor = quotient

2 ÷ Quotient = divisor

3, divisor × Quotient = divisor

4, divisor = (divisor remainder) ÷ Quotient

5, quotient = (divisor remainder) ÷ Divisor

< H2 > extended data

when the divisor contains 4, 5, 6 times divisor, the period method is: the divisor contains 4 times quotient: half of the preceding complement is added, and the standard complement is subtracted once

The divisor contains 5 times the quotient: half of the preceding complement, and the standard does not move

the divisor contains 6 times the quotient: half of the preceding complement is added, and the standard complement is added once

Example: 35568 + 78 = 456 (the complement of 78 is 22) Order: 355 contains 4 times the divisor, so add 11 to the front and subtract 22 from the standard to get 4-4368; 436 contains 5 times the divisor, the leading position is added with 11, the standard position is fixed, and the result is 45-468; 468 contains 6 times divisor, the first place plus 11, standard plus 22, 456 (quotient)

3. 1. In division, the law of quotient invariance is: the divisor and divisor multiply or divide the same number (except 0), quotient invariance
2. Basic properties of fraction: the numerator and denominator of fraction multiply or divide by the same number (except 0), and the size of fraction remains unchanged
3. Basic properties of ratio: the first and second terms of ratio multiply or divide by the same number (except 0), and the ratio remains unchanged< 4. Mathematical quotient:
6 ÷ 2 = 3
then six is divisor, two is divisor and three is quotient

4.

1、600 ÷ 25=600 × 4 ÷ twenty-five × 4

=2400 ÷ 100

=24

2、3000 ÷ 125=3000 × 8 ÷ one hundred and twenty-five × 8

=24000 ÷ 1000

= 24

{rrrrrrr}

extended data:

in a division formula, the relationship between divisor, remainder, divisor and quotient is: (divisor remainder) ÷ Divisor = quotient, recorded as: divisor ÷ Divisor = quotient ····································································· × Divisor + remainder = divisor. In a division formula, the relationship between divisor, remainder, divisor and quotient is: (divisor remainder) ÷ Divisor = quotient, recorded as: divisor ÷ Divisor = quotient ····································································· × Divisor + remainder = divisor

When the number a divided by the number B (not 0) can be divided completely, the quotient is called complete quotient. For example: 9 ÷ 3 = 3, 3 is the complete quotient

5. 1. Fill in the blanks
(1) in a division formula, if the divisor is divided by 5, the divisor is also divided by 5, and the quotient is zero
(2) in a division formula, if the divisor is multiplied by 10, to keep the quotient constant, the divisor () is used
(3) in a division formula, if the divisor is divided by 100, the divisor () is used to keep the quotient constant

2. According to the results of the first formula in each group, write the results of the second and third formula directly< br />
118 ÷ 6=3
18 × 2 ÷ six × 2=
18 × 3 ÷ six × 3=

2480 ÷ 10=48
480 ÷ 2 ÷ ten ÷ 2=
480 ÷ 5 ÷ ten ÷ 5) =

3. Fill in the operation symbol in 0 and the appropriate number in □< br /> 124 ÷ 8＝24 × 2 ÷ eight × □
2360 ÷ 60=360 ÷ 10 ÷ 60○10
396 ÷ 6＝96○□ ÷ 4. Column vertical calculation:
7800 ÷ 600=
540 ÷ 60＝
8800 ÷ 80 =

5.40 seconds< br />240 ÷ 30＝ 80 ÷ 20＝
360 ÷ 90＝ 4800 ÷ 400＝
440 ÷ 20＝ 9600 ÷ 800＝
120 ÷ 40＝ 2400 ÷ 60 =

6. If two factors are multiplied, if one factor is reced by 5 times and the other factor is expanded by 5 times, what is the change of the proct

1. The divisor increases by 3 times, the divisor remains unchanged, quotient ()
2. The divisor decreases by 3 times, the divisor remains unchanged, quotient ()
3. The subtracted decreases by 15, the subtracted decreases by 5, difference ()
4. The subtracted increases by 15, the subtracted decreases by 5, difference ()
5, If both the subtracted and the subtracted are expanded by 8 times, the difference will be expanded by () times
7. If two numbers are multiplied, if a factor increases by 3, the proct will increase by 51; If the other factor is reced by 6, the proct is reced by 150, then the two factors are () ()
8, the subtraction and difference are subtracted to 0, then the subtracted is the sum of ()
9, the divisor, the divisor and the remainder. Given that the divisor is 20 and the remainder is 10, then the quotient is ()

10. If two numbers are divided, the divisor is expanded by three times, and the divisor is reced by six times. Quotient ()
11. Xiao Ming omitted the zero at the end of the divisor when calculating the division, and the quotient obtained is 500. The correct quotient is ()
12. Hao Hao wrote an extra "0" at the end of the divisor when calculating the division, The result shows that the quotient is 132, and the correct quotient is ()
13. One addend increases by 0.6. To keep sum unchanged, the other addend should be ()
14. Divide two numbers, and the quotient is 8