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How to use the abacus?
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Answer *** 1
Abacus formula
First, the addition formula table
Add five straight, ten straight, five straight, and ten straight.
One, one, one, one, five, four, one, nine, one.
Two, two, up, two, down, five, three, two, eight, one.
Three, three, three, three, five, two, three, seven, one.
Four, four, four, four, five, one, four, six, one.
Five, five, five, five, one.
Six, six, six, six, four, one, one, five, one.
Seven, seven, seven, seven, three in one, seven in two, five in one.
Eight, eight, eight, eight, two in one, eight in three, five in one.
Nine, nine, nine, go, one in, one in, four in, five in, one in.
Second, the subtraction formula table
No abdication decline position
Directly reduce, break five, abdicate, retreat, ten make up and five reduce.
One, one, one, four, five, one, nine.
Two, two, two, two, three, five, two, one, eight.
Three, three, three, three, two, five, three, one, seven.
Four, four, four, four, four, four, four, one, five, four, one, six.
Five, five, five, five, one five.
Six, six, six, six, one, four, six, one, five, one.
Seven, seven, seven, seven, one, three, seven, one, five, two.
Eight, eight, eight, eight, one, two, eight, one, five, three.
99, 99, once, once, five times, four times.
Zhu Shijie's "Enlightenment of Arithmetic" (1299) talks about "the formula of regression and partition". ...
I saw it as soon as I got home and entered the door.
Two, one, five, two, fourteen, twenty-six, thirty-eight, forty
Three, one, three, one, one, three, two, six, twenty-nine, thirty.
Four, one, two, one, two, four, four, four, four, five, three, seven, twelve, eight, twenty.
Five times the return, five into ten.
Six one plus four six two three two six three add five six four six four six five eight two.
Seven times plus three times two times six times four times twelve times seven times four times five times seven times seven times seven times seven times six times eight times four times ten.
Eight, one plus two, eight, two, four, eight, three, six, eight, four are increased to five, eight, five, sixty-two, eight, six, seventy-four, eight, seven, eight, eight, eight, eight, ten.
Nine is up to you, nine into ten.
In his Daily Algorithm (1262), Yang Hui, a mathematician in the Southern Song Dynasty, compiled a Song formula for finding the price of two pounds per catty.
Zhu Shijie, a great mathematician in Yuan Dynasty, wrote "Arithmetic Enlightenment" (1299), which was further promoted to the following fifteen sentences:
One begging, every 625; ( 1/ 16=0.0625)
Second, ask for abdication125; (2/ 16=0. 125)
Three requests,1875; (3/ 16=0. 1875)
Four requests were changed to twenty-five; (4/ 16=0.25)
Five, three, one, two, five; (5/ 16=0.3 125)
Six demands, two prices, three seven five; (6/ 16=0.375)
Seven, four, three, seven, five; (7/ 16=0.4375)
Eight seeking, turning into five; (8/ 16=0.5)
Nine, five, six, two, five; (9/ 16=0.5625)
Ten requests, six two five; ( 10/ 16=0.625)
1 1, 6875; ( 1 1/ 16=0.6875)
12, 75; ( 12/ 16=0.75)
13, 8 125; ( 13/ 16=0.8 125)
14, 875; ( 14/ 16=0.875)
15, 9375; ( 15/ 16=0.9375)
The word "abacus" appeared in Liu Yin's Collected Works of Mr. Jing Xiu in Yuan Dynasty [1248- 1293].
The title of the five-character quatrain;
Wang Zhenpeng, a painter in the Yuan Dynasty, wrote a picture of "A Dangan Kun Tu" [13 10].
There is an abacus in the goods carried by the hawker;
The record of dropping out of farming in Taonan village at the end of Yuan Dynasty [1366] Volume 29 "Well Pearl"
There is a metaphor of "abacus beads";
The "abacus" was also mentioned in Yuanqu, which shows that the abacus was used in Yuanqu.
The earliest document containing abacus figures is Kuiben Duxiang's Four Miscellaneous Characters, which was engraved in the fourth year of Ming Hongwu [137 1].
The earliest existing abacus calculation book is Xu Xinlu's revised "Pan Zhu Algorithm" [1573].
The most popular and influential abacus book in history.
It is Cheng Dawei's "Directional Algorithm for Unification of Clans" in the Ming Dynasty [1592].
Addition and subtraction formulas are unique to abacus calculation, which was first seen in Jason Wu's Nine Chapters Arithmetic Analogy [1450].
The multiplication and division formula is the calculation formula.
The multiplication formula "99" has been applied in planning during the Spring and Autumn Period and the Warring States Period.
For the division formula, for the first time, see Yang Hui's Multiplication and Division to Change Treasure [1274].
Zhu Shijie's Enlightenment of Arithmetic [1299] is basically consistent with the modern formula.
With these four formulas, the abacus algorithm has formed a long-standing system.
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Answer *** 1 abacus formula 1. Addition formula table
Add five straight, ten straight, five straight, and ten straight.
One, one, one, one, five, four, one, nine, one.
Two, two, up, two, down, five, three, two, eight, one.
Three, three, three, three, five, two, three, seven, one.
Four, four, four, four, five, one, four, six, one.
Five, five, five, five, one.
Six, six, six, six, four, one, one, five, one.
Seven, seven, seven, seven, three in one, seven in two, five in one.
Eight, eight, eight, eight, two in one, eight in three, five in one.
Nine, nine, nine, go, one in, one in, four in, five in, one in.
Second, the subtraction formula table
No abdication decline position
Directly reduce, break five, abdicate, retreat, ten make up and five reduce.
One, one, one, four, five, one, nine.
Two, two, two, two, three, five, two, one, eight.
Three, three, three, three, two, five, three, one, seven.
Four, four, four, four, four, four, four, four, one, five, four, one, six.
Five, five, five, five, one five.
Six, six, six, six, one, four, six, one, five, one.
Seven, seven, seven, seven, one, three, seven, one, five, two.
Eight, eight, eight, eight, one, two, eight, one, five, three.
99, 99, once, once, five times, four times.
Zhu Shijie's "Enlightenment of Arithmetic" (1299) talks about "the formula of regression and partition". ...
I saw it as soon as I got home and entered the door.
Two, one, five, two, fourteen, twenty-six, thirty-eight, forty
Three, one, three, one, one, three, two, six, twenty-nine, thirty.
Four, one, two, one, two, four, four, four, four, five, three, seven, twelve, eight, twenty.
Five times the return, five into ten.
Six one plus four six two three two six three add five six four six four six five eight two.
Seven times plus three times two times six times four times twelve times seven times four times five times seven times seven times seven times seven times six times eight times four times ten.
Eight, one plus two, eight, two, four, eight, three, six, eight, four are increased to five, eight, five, sixty-two, eight, six, seventy-four, eight, seven, eight, eight, eight, eight, ten.
Nine is up to you, nine into ten.
In his Daily Algorithm (1262), Yang Hui, a mathematician in the Southern Song Dynasty, compiled a Song formula for finding the price of two pounds per catty.
Zhu Shijie, a great mathematician in Yuan Dynasty, wrote "Arithmetic Enlightenment" (1299), which was further promoted to the following fifteen sentences:
One begging, every 625; ( 1/ 16=0.0625)
Second, ask for abdication125; (2/ 16=0. 125)
Three requests,1875; (3/ 16=0. 1875)
Four requests were changed to twenty-five; (4/ 16=0.25)
Five, three, one, two, five; (5/ 16=0.3 125)
Six demands, two prices, three seven five; (6/ 16=0.375)
Seven, four, three, seven, five; (7/ 16=0.4375)
Eight seeking, turning into five; (8/ 16=0.5)
Nine, five, six, two, five; (9/ 16=0.5625)
Ten requests, six two five; ( 10/ 16=0.625)
1 1, 6875; ( 1 1/ 16=0.6875)
12, 75; ( 12/ 16=0.75)
13, 8 125; ( 13/ 16=0.8 125)
14, 875; ( 14/ 16=0.875)
15, 9375; ( 15/ 16=0.9375)
The word "abacus" appeared in the Collected Works of Mr. Jing Xiu by Liu Yin in Yuan Dynasty [1248- 1293].
The title of the five-character quatrain;
Wang Zhenpeng, a painter in the Yuan Dynasty, wrote a picture of "A Dangan Kun Tu" [13 10].
There is an abacus in the goods carried by the hawker;
The record of dropping out of farming in Taonan village at the end of Yuan Dynasty [1366] Volume 29 "Well Pearl"
There is a metaphor of "abacus beads";
The "abacus" was also mentioned in Yuanqu, which shows that the abacus was used in Yuanqu.
The earliest document containing abacus figures is Kuiben Duxiang's Four Miscellaneous Characters, which was engraved in the fourth year of Ming Hongwu [137 1].
The earliest existing abacus calculation book is Xu Xinlu's revised "Pan Zhu Algorithm" [1573].
The most popular and influential abacus book in history.
It's Cheng Dawei's "Directed Algorithm Unifies Clans" in the Ming Dynasty [1592].
Addition and subtraction formulas are unique to abacus calculation, which was first seen in Jason Wu's Nine Chapters Arithmetic Analogy [1450].
The multiplication and division formula is the calculation formula.
The multiplication formula "99" has been applied in planning during the Spring and Autumn Period and the Warring States Period.
For the division formula, for the first time, see Yang Hui's Multiplication and Division to Change Treasure [1274].
Zhu Shijie's Enlightenment of Arithmetic [1299] is basically consistent with the modern formula.
With these four formulas, the abacus algorithm has formed a long-standing system.