1. multiplication formula table (multiplication formula table of 19*19): 2. multiplication formula table of 99: 3. multiplication formula table of 99:
extended information: characteristics of 99: 1. Generally, 99 tables only use 9 digits.
2. Jiujiu table contains the commutativity of multiplication, so it only needs 8972, and does not need "9872". 9 times 9 has 81 product groups, and Jiujiu table only needs 1+2+3+4+5+6+7+8+9 =45 product items. In the Ming Dynasty, abacus calculation also used 99 tables with 81 groups of products.
the 99 table of 45 items is called Xiao 99, and the 99 table of 81 items is called Da 99. 3. The shortest multiplication table in the ancient world.
There must be 19 multiplication tables in Maya, 177 multiplication tables in Babylon, and infinite multiplication tables in Egypt, Greece, Rome, India and other countries; However, the 99 watch only needs 45/81 items. 4. There is a rhythm when reading aloud, which is convenient for memorizing the whole table.
5. Jiujiu Watch has existed for at least 3, years. It was used in the calculation from the Spring and Autumn Period and the Warring States Period, and was improved and used in the abacus in the Ming Dynasty.
Now, Jiujiubiao is also the basic skill of elementary school arithmetic. Nowadays, people generally describe those who are scheming, calculating and good at planning as having a "career in mind."
Give me a multiplication table.
(1) Teach according to the lines in the multiplication formula table. For example, the multiplication formula of 2 is: one two gets two, two two gets four, three two gets six, ...; The formulas are 2*1,2*2,2*3, …………………………………………………………………………………………………………………………………………………………………………………………………………………………………………. The formulas are 1*2,2*2, 3*2, ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… Generally, the formulas used are 2*1, 2*2. (2) Teach as listed in the multiplication formula table. For example, the multiplication formula of 2 is: 22 gets four, 23 gets six, 24 gets eight, ...; The formulas used are generally 2*2,3*2,4*2, …………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… Master the rules of formula. Therefore, the first order of "Big 99" and the first or third order of "Small 99" are generally adopted in teaching. The first teaching order of "Small 99" is easy to teach with few formulas at first, but with the increase of the multiplicand, the formula gradually increases, the difficulty also increases, and there are many parts to learn later, so there are few opportunities for repetition. "Small 99" However, the formula of "Xiao Jiu Jiu" is still used, and there are many new formulas. However, with the increase of the multiplicand, the new formulas gradually decrease, and most of the contents have more opportunities for repeated practice. The multiplication in the table is the focus of multiplication teaching. In teaching, the source of formulas, the composition of each formula and the arrangement law of formulas should be clarified on the basis of adding the same number. Through various forms of practice, students can memorize formulas. And ask them to pay attention to the relationship between the formula and the multiplication formula. Especially "Xiao Jiu Jiu", a formula can represent two multiplication formulas (except when two identical numbers are multiplied). If two or three get six, you can calculate 3*2=6 and 2*3=6.
multiplication formula in primary schools
multiplication table and formula multiplication table 1 * 1 = 11 * 2 = 22 * 2 = 41 * 3 = 32 * 3 = 63 * 3 = 91 * 4 = 83 * 4 = 124 * 4 = 161 * 5. 6=24 5*6=3 6*6=36 1*7=7 2*7=14 3*7=21 4*7=28 5*7=35 6*7=42 7*7=49 1*8=8 2*8=16 3*8=24 4*8=32 5*8=4 6*8=48 7*8=56 8*8=64 1*9=9 2*9=18 3*9=27 4* 9=36 5*9=45 6*9=54 7*9=63 8*9=72 9* 9=81 The formula table one by one gets 112, 222, 413, 323, 633, 914, 424, 83414, 446, 15, 225, 15, 455, 216, 62668, 464, 566, 636, 177, 2724, 2728, 5736742. 7749-18, 828638248312, 584, 684, 785, 1688619, 92983927, 4936, 9456, 954, 9613, 8972, 9981.
output the detailed explanation of 99 multiplication table
99 multiplication table is also known as "multiplication formula table", commonly known as "Xiao 99", which is compiled by multiplying every two numbers from one to nine, such as "one by one" and "9981", which originated very early. In Dunhuang Han bamboo slips and Juyan Han bamboo slips in China, there are descriptions of 99 multiplication table, and the Enlightenment of Arithmetic written by Zhu Shijie in Yuan Dynasty Jiujiubiao is a single-digit multiplication formula. It was named Jiujiubiao because it started from "9981" in ancient times. There are many fragments of ninety-nine formulas in the pre-Qin classics such as Guanzi, among which there is the story of Qi Huangong who set up a court and regarded ninety-nine as a "thin talent" and recruited talents. There are many bamboo slips unearthed in 195s and 196s, but they are all incomplete.
As an enlightenment textbook, we have all memorized the multiplication table of 1999: one gets one, one gets two ... 9981. In ancient times, it started from "9981", so it was called "99 Watch". The use of Jiujiu table is of great help to complete multiplication. The story of Qi Huangong Naxian shows that by the 7th century BC, the 99-year-old song formula was not rare. Some people may think that this kind of achievement is not worth mentioning. But in ancient Egypt, multiplication was done by multiplying. For example. If you calculate 23*13, you need to start from 23 and double it to get 23 * 2, 23 * 4 and 23 * 8, and then notice that 13=1+4+8, so the result of adding 23+23*4+23*8 is 23*13. From the comparison, it is not difficult to see the advantages of using Jiujiubiao. When calculating, we first use the 99 formula table: three and three get nine, two and three get six, and get 69, then stagger one place, and then use the multiplication formula table once, one and three get three, one and two get two, and get 23 tens. Add up the products multiplied twice, and 69 and 23 tens get 299.
The "99 multiplication table" of the Han Dynasty, discovered by archaeologists on bamboo slips unearthed from the site of the ancient people's dike in Zhangjiajie, Hunan Province, is surprisingly consistent with the multiplication formula table used in today's life. This bamboo slip with "99 multiplication table" is made of wood, about 22 cm long, and the damage is serious. Previously, a multiplication formula table dating back more than 2,2 years was also found on a Qin bamboo slip unearthed in the ancient city of Liye in western Hunan, and it was verified as the earliest multiplication formula table found in China today. In addition to the Qin bamboo slips in Liye, the "99 multiplication table", which is basically the same as the bamboo slips found in the site of the ancient people's dike in Zhangjiajie, has also been seen in Loulan documents. It is a 99 multiplication table written on two pieces of scrap paper, which was excavated by Swedish explorer Sven Heding in the early last century. The multiplication table was not unique to China in ancient times, and it was also found in ancient Babylonian clay tablets. However, the monosyllabic pronunciation of Chinese characters (including numerals) makes them catchy to read; The abacus formula developed later also inherited this feature, which played a certain role in improving the operation speed and algorithm.
Jiujiubiao is a single-digit multiplication formula. It was named Jiujiubiao because it started from "9981" in ancient times. There are many fragments of ninety-nine formulas in the pre-Qin classics such as Guanzi, among which there is the story of Qi Huangong who set up a court and regarded ninety-nine as a "thin talent" and recruited talents. There are many bamboo slips unearthed in 195s and 196s, but they are all incomplete. Jiujiu Watch is also called "Pythagoras Watch" in the West.
Jiujiubiao was called Jiujiuge in ancient China. There is a story about it: It is said that during the Spring and Autumn Period, Qi Huangong once set up a recruiting hall to solicit talents from all over the world. But after waiting for a long time, no one has come to apply. After more than a year. A man just came. He dedicated "Jiujiu Song" to Qi Huangong as a gift to show his talent. Qi Huangong thought this person was very ridiculous, so he said to this person, "Can you also take out 99 songs to show your talent?"
The bearer replied politely, "It's true that you can't learn anything by singing Jiujiu songs, but if you can treat me with courtesy, are you afraid that the best people in the world won't come to you?"
Qi Huangong felt that this man had a point, so he welcomed him into the recruiting hall and gave him a grand reception. The news spread like wildfire, and sure enough, in less than a month, many talented people came to Qi from all directions.
This story shows that the appearance of Jiujiu songs will not be later than the Spring and Autumn Period and the Warring States Period, when Jiujiu songs were widely circulated. The earliest Jiujiu songs came first in large numbers, from "9981" to "224". By the time Sun Tzu's Calculations, it had been expanded to "one is the same", which was about the 5th to 1th century. In the Song Dynasty in the 13th-14th century, the order of Jiujiu songs was reversed, and it became the same as that used in modern times, from "one by one to one" to "9981".
I hope I can help you solve your doubts.
what are the big 99 and the small 99
Both the big 99 and the small 99 are formula tables, which are the big 99 formula table and the small 99 formula table respectively.
The formula table of Dajiujiu is the formula table of Dajiujiu multiplication, which starts from 1 multiplication to 19 multiplication. The formula table of Dajiujiu multiplication can not only improve children's mathematical operation ability, but also exercise their thinking, analysis and creativity. The table of formula for the big 99 is as follows: the formula table for the small 99 is also called the multiplication table for the small 99, and the formula for the multiplication of the small 99 is often called the "small 99".
is the multiplication formula from "one by one" to "9981". The formula table of Xiao Jiujiu is as follows:
Extended information: The function of Da Jiujiu formula table: In some areas, it has been clearly stipulated that calculators are not allowed in the senior high school entrance examination, so it is undoubtedly very helpful to master the formula table of Da Jiujiu multiplication.
It will be of great use for students who have the spare capacity to learn to recite when they are young and have a strong memory. Children in India, a powerful mathematical country, can recite the formula by heart. Therefore, they always perform well in international mathematics competitions. In the field of making computer software, no one can compare with them. Perhaps the reason why India has strong strength in the field of information technology can be found from the formula.
big 99 formula table, small 99 formula table, 99 multiplication table?
The origin of "Xiao Jiujiu" is The Melody of 99 Multiplication, which is often called "Xiao Jiujiu".
At present, students learn the formula of "small ninety-nine" from "one by one" to "9981", but in ancient times, it was the other way around, from "9981" to "224". Because the first two words of the formula are "99", people call it "99" for short.
It wasn't until the 13th and 14th centuries that it was reversed, as it is now. China used the "99 formula" earlier.
in Xunzi, Guanzi, Huainanzi and Warring States Policy, you can find sentences such as "3927", "68418", "48312" and "6636". It can be seen that as early as the Spring and Autumn Period and the Warring States Period, Jiujiu Multiplication Songs became popular.
Nowadays, people generally describe those who are scheming, calculating and good at planning as having a "career in mind". Jiujiubiao, also known as Jiujiuge and Jiuyinge, is the basic calculation rule in multiplication, division, square root and other operations in ancient China. It has been used for more than two thousand years.
At present, elementary school students and some school-age children can recite it. But Europe didn't know this simple multiplication table until the early 13th century.
Greece and Babylon, countries with ancient western civilizations, also invented multiplication tables, but they are more complicated than Jiujiu tables. There are more than 1,7 Greek multiplication tables invented by Babylon, and they are not complete enough.
Before the 13th century, they worked very hard to calculate multiplication and division, so people who can divide a large number will be regarded as experts in mathematics. At the beginning of the 13th century, the calculation method of the East was introduced to Europe through * * * people, and Europeans found his convenience, so they learned this new method.
at that time, the topic of multiplying two numbers by a new method was the teaching material of the university at that time. Comparison of multiplication tables of ancient civilizations in the world There is no carry system in ancient Greece, ancient Egypt, ancient India and ancient Rome. In principle, infinite multiplication tables are needed, so it is impossible to have nine tables.
For example, the Greek multiplication table must list 7x8, 7x8, 7x8, 7x8, 7x8. In contrast, since Jiujiu table is based on decimal system, 7x8=56, 7x8 = 56, 7x8 = 56, 7x8 = 56, and only 7x8 = 56 is needed for one representation.
there was no multiplication table in ancient Egypt. Archaeologists found that the ancient Egyptians used iterative addition to calculate the product.
for example, to calculate 5x13, first add 13+13 to get 26, then add 26+26=52, and then add 13 to get 65. Babylonian arithmetic has a carry system, which has made great progress than Greece and other countries.
However, Babylonian arithmetic adopts the hexadecimal system, and in principle, a "59x59" multiplication table needs 59*6/2=177 items; Because the "59x59" multiplication table is too huge, the Babylonians never used a "multiplication table" similar to the Jiujiu table. Archaeologists have never found a multiplication table of "59x59" similar to Jiujiu Table.
However, archaeologists found that Babylonians used a unique "square table" with 1x1 = 1, 2x2 = 4, 3x3 = 9 … 7x7 = 49, …… 9x9 = 81 …… 16x16 = 256 …… 59x59 = 3481. To calculate the product of two numbers A and B, Babylonians relied on their best algebra, axb=((a+b)x(a+b)-axa-bxb)/2.
for example, 7x9 = ((7+9) x (7+9)-7x7-9x9)/2 = (256-49-81).