Division fortune telling _ division calculation

What is the division formula of abacus?

Abacus division formula:

Once (divided by 1): every one goes in, every two goes in, every three goes in, every four goes in, every five goes in, every six goes in, every seven goes in, every eight goes in and every nine goes in.

Two returns (divided by two): every two into one, every four into two, every six into three, every eight into four, 2 1 plus five.

Three returns (divided by three): three into one, six into two, nine into three, three into one, three into two.

Four returns (divided by four): every four into one, every eight into two, four and two phases add up to five, four and one are greater than two, and four and three are greater than two.

Five cycles (divided by five): every five cycles into one, 5 1 cycle is two, 52 cycles is four, 53 cycles is six, and 54 cycles is eight.

Six returns (divided by six): one every six, two every twelve, six three plus five, six one plus four, six two three greater than two, six four greater than four, and six five eight greater than two.

Seven returns (divided by seven): every seven returns to one, every fourteen to two, every seven to three, every seven to six, every seven to four, every seven to five, every seven to five and every seven to four.

Eight returns (divided by eight): every eight enters one, 84 adds five, 8 1 adds two, 82 adds four, 83 adds six, 856 is greater than two, 867 is greater than four, and 878 is greater than six.

Nine returns (divided by nine): every nine returns to one, nine returns to one, ninety-two returns to two, ninety-three returns to three, ninety-four returns to four, ninety-five returns to five, ninety-six returns to six, ninety-seven returns to seven and ninety-eight returns to eight.

Abacus terminology:

1, term 1

Neutral: when both the upper and lower gears of a certain gear are off the beam, it is called neutral. Neutral means this gear doesn't count, or it means 0.

Empty disk: When all gears of the abacus are in neutral position, it means that there is no counting at all, which is called empty disk.

Inner beads: The counting beads counted by the light beam are called inner beads.

Outer beads: Counting beads that are not counted from the light beam are called outer beads.

Pull up: refers to pulling up the lower bead against the beam.

Pull: refers to pulling the upper bead towards the beam.

Pull out: refers to pulling the upper bead or the lower bead away from the beam.

This file: it is the file that corrects the number of strokes.

Previous gear: refers to the previous gear of this gear, also called left gear (bit).

Rear gear: refers to the rear gear of this gear, also called right gear (position).

2. Terminology 2

Floating beads: the force is too light when pulling the beads, and the beads float in the middle of the file.

With beads: when pulling beads, call with beads to bring in or out the beads that should not be pulled in or out of this file or adjacent files.

Real beads: Beads that represent positive numbers with light beams.

Virtual bead: Also known as negative bead, it refers to a suspended bead that is not set as a beam or a border, indicating a negative number.

Set the number: also teach the number, according to the calculation requirements, dial the number into the abacus and prepare for calculation.

Gear: also called grade, it refers to the grade of gear.

Wrong gear: also known as dislocation, it means that the abacus does not dial the gear it should dial during the operation.

Shift: Also called shift, it refers to the second gear (position) of one gear left and right of this digit. In cross multiplication, two numbers are multiplied, and the number of digits of the product is played on the right two digits of the multiplicand; In each division, each quotient refers to the left two digits of the first dividend.

Carry: it means that this file is greater than or equal to 10 after adding a number, and the previous position must be added with 1, which is called carry.

3. Terminology 3

Abdication: it means that when a number is subtracted from this file, the file is not enough, and the previous 1 is allowed to be subtracted, which is called abdication.

First digit: Also called the highest digit, it means that the first non-zero digit of a multi-digit is the first digit. Such as 3 in 3284 and 7 in 0.0726.

Last digit: Also called the lowest digit, it refers to the last digit of a multi-digit number. For example, 0.48 1.29 in 5 and 120 in 3275.

9 inches.

Second digit: The second digit of a multi-digit number. Such as 8,0.4 1 in 3865 and1in 078.

Real number: Multiplier and dividend are generally called real numbers in ancient arithmetic books.

Normal number: Multiplier and divisor are commonly known as normal numbers in ancient books, which is abbreviated as law.

Multiplication and addition: refers to multiplying each bit of the multiplicand by each bit of the multiplier, and adding the products while multiplying in abacus.

Multiplication and subtraction: Also called subtraction product, it means that each quotient is multiplied by the divisor, and the divisor subtracts the product.

Prefix: refers to the highest digit of divisor.

Product header: refers to the first digit of the product.

4. Terminology 4

Quotient: refers to the first digit of quotient.

Quotient estimation: in division, everyone who requires it must calculate carefully, and the dividend estimation is several times that of the divisor. This mental arithmetic process is called quotient estimation.

Trial quotient: also known as initial quotient, refers to the initial quotient obtained when estimating quotient, which is called trial quotient.

Buyer: Also known as establishing a business, it refers to putting the trial business in the abacus.

Quotient adjustment: after releasing the quotient, multiplication and subtraction are used to prove that the trial quotient is incorrect, and the initial quotient needs to be adjusted.

Positive quotient: after putting the quotient, prove that the quotient is neither too big nor too small by multiplication and subtraction.

Division: Divide the dividend by the divisor, and divide it to a certain bit, and there is just no remainder. This is called division.

Infinite divisor: refers to the number that cannot be divided when there is infinite cycle or acyclic decimal.

5. Duration 5

Remainder: division that is not divisible. When the quotient reaches each number or a predetermined number, the remaining number in the dividend is called the remainder. In the process of operation, there is always a remainder in every product of the quotient and divisor in the suburb of dividend, which is usually called remainder.

Withdrawal of business: the initial business is too big, so it is changed to "Withdrawal of business".

Supplementary business: the initial business is too small, so it is called "supplementary business".

Pseudo-quotient: In the division operation, for the convenience of calculation, a quotient is established first, and then the exact quotient is obtained after adjustment. The first definite quotient is called false quotient.

Liquidation: remove the beads from each booth and leave the whole booth vacant. This is called liquidation.

Holistic practice: All abacus files, or most files, are used for plucking practice, and comprehensive practice is carried out according to the basic algorithm, which is called holistic practice.