"Vertical!"

Zhang Cang frowned, this kind of calculation method has never been heard of, and he can't help but be even more curious.

"That's right, Jianshi, I made a vertical list in my mind, so I calculated faster." Li Yang smiled.

When he was in Pei County, since he came to the merchant to use calculations, Li Yang originally thought that this ancient person would not know the multiplication formula, so at that time, he thought that he was faster than Zhang Cang, and it was the work of the multiplication formula.

However, it wasn't until a few days ago that Li Yang wanted to learn about the preliminary operation of today's mathematics because of the compilation of mathematics textbooks, and he was surprised to find that the original multiplication formula had long been popular.

China's ninety-nine multiplication table originated very early, at the latest in the Spring and Autumn Period Lu Huan Gong has ninety-nine, written in the Spring and Autumn Period and the Warring States period of the "Guanzi", the book mentions that "the number of Anxi as ninety-nine to respond to the way of heaven". In the Warring States Period, the ninety-nine formula has been quite popular, and in the current Qin Dynasty, all those who know how to read and count are familiar with the nine-nine multiplication table.

Moreover, in the addition at this time, there is also the word "half and half and one", which means 0.5 + 0.5 = 1, which means that at this time, there are already scores.

This really surprised Li Yang.

At the same time, I am also very puzzled, why there is a multiplication formula, last time in Pei County, not only the businessman could not count himself, but even the mathematician Zhang Cang of this era could not count himself?

After careful study, Li Yang's method understood, and it turned out that the reason for this was vertical.

Yes, it is the pen calculation of later generations, listed in the vertical form of the draft book.

Addition vertical, subtraction vertical, multiplication vertical, division vertical.

Because with the help of these vertical forms, no matter how many digits it is, we can easily calculate it in vertical forms.

However, in this era, there is no vertical type.

They can't put a pen on paper, put a vertical column, and then do the math. Instead, it is calculated with the help of a calculation chip, placed on the ground and on the table, so it is called calculation.

That's why, even though they know the multiplication formula, it's still hard to do three-digit multiplication.

As a time-traveler in later generations, although Li Yang used mental arithmetic and did not list the vertical style on the scratch paper, he also put the vertical style in his mind, so he quickly calculated it.

Therefore, as long as you teach the vertical type to the people of this era, you can almost improve their computing power at once.

In order to let Zhang Cang know at a glance what is the vertical operation method.

Li Yang didn't talk too much nonsense, he directly took a piece of paper, and then listed the vertical formula of the original equation in Pei County on the paper.

It's just that this vertical style on the paper, Li Yang himself looks a little awkward, because they are not Arabic numerals, but Chinese characters.

Fortunately, this does not affect vertical operations.

According to the multiplication formula, Li Yang explained to Zhang Cang, and soon, Li Yang calculated the result at the bottom of the vertical formula.

Zhang Cang is a mathematician of this era, and he has a talent for mathematics that others don't have, and he can see it at a glance, so after watching Li Yang's entire calculation process, Zhang Cang's whole person was stunned, and his mouth opened wide, simply shocking Li Yang as a celestial!

There is no need to use a root of the calculation, directly on the paper or on the ground, the two groups of numbers, up and down correspondingly arranged, using the multiplication formula can be easily calculated, this kind of operation method, for Zhang Cang, is simply shocking to the heart!

"This vertical method is simple, fast, and extremely subtle! My lord, the lower official has been taught today! ”

Zhang Cang's whole person was excited, his eyes lit up, and he hurriedly gave his hand to Li Yang and shook it deeply.

Li Yang smiled and said, "There's more!" ”

After speaking, Li Yang used the vertical operation method on the paper to calculate several cases of multi-digit addition, subtraction, and division, and directly looked at Zhang Cang as stupid.

As a mathematician, after seeing the vertical operation of addition, subtraction, multiplication and division, he knew that in the future, there is no need to calculate!

Moreover, after this vertical list, even people with poor brains can easily add and subtract, multiply and divide multiple digits to easily and quickly calculate the results.

In other words, as long as this vertical method of operation is implemented, it will benefit countless people.

In the future, even if he is an old farmer, as long as he learns the method of vertical operation a few times, he will be able to easily solve addition and subtraction.

Zhang Cang, who was amazed, raised his head and asked excitedly: "My lord, this kind of vertical operation method was invented by adults?" ”

Li Yang said bluntly: "This is an arithmetic method that I mastered when I was a child. ”

"Your Excellency is saying, this ...... You invented this when you were younger? Zhang Cang was stunned!

"This ......"

Li Yang was stunned for a moment, and found that he had misunderstood, but when he thought about it, there was no such calculation method at this time, and it seemed difficult to explain.

So I had to nod shamelessly: "Well, you're right, this is what I realized when I was a child!" ”

Hiss!

"............" Zhang Cang took a deep breath, and the whole person was so shocked that he couldn't even speak.

Oh my God!

When he was a child, Prime Minister Zhong actually comprehended such a subtle method of operation when he was a child......

Genius, what a genius in mathematics and science!

I thought that I was also a mathematical genius in the world, but I didn't think about it......

Now compared with Zhongcheng, he is a scumbag!

Even, when Prime Minister Lian Zhongcheng was a child, he threw himself 108,000 miles away.

At this time, Zhang Cang's gaze at Li Yang was already full of incomparable admiration, and the whole person was shocked!

Being able to calculate difficult problems only means that you are smart at best.

And being able to invent an advanced way of computing is not just smart, it's not at the same level at all.

Since the Warring States period, fortune-telling has been regarded as a magic treasure by the world.

But now it seems that compared with Li Yang's vertical operation, he has also become scum.

At that moment, Zhang Cang sighed excitedly: "In today's world, those who dare to call the master of mathematics are the only prime minister!" ”

“…………”

Li Yang couldn't cry or laugh.

However, fortunately, he is used to being cheeky, not only does he not feel blush, but he is still a little proud.

"Zhang Cang, in the mathematics textbook, you can promote this vertical operation method!" Li Yang confessed.

Zhang Cang hurriedly surrendered his hand: "Huh! ”

At this time, Li Yang took the paper that had listed the equations before, and next to each equation, he listed an equation with Arabic numerals.

"My lord, this is ...... What symbols? ”

Zhang Cang couldn't help frowning when he saw the numbers written by Li Yang, as well as symbols such as plus, minus, multiplication, division, and equal.

Li Yang was not in a hurry to answer, but wrote out the Chinese characters from zero to nine in the blank space of the paper, and added the bottom of the Chinese characters to write their Arabic numerals.

After writing it all, he put down his pen and said to Zhang Cang: "This is a simplified number invented by Benxiang, and these numbers correspond to zero to nine." Isn't it simpler, you see, and they're more convenient to use for vertical arithmetic? ”

After listening to Li Yang's words, Zhang Cang naturally saw the superiority of these simplified numbers at a glance, and immediately looked at Li Yang in surprise and asked, "My lord, what is this...... This is also what you invented? ”

Li Yang thought about it, Arabic numerals were issued by a scientist in India in Baghdad in the 3rd century AD, but ...... Now that I wrote it in 209 B.C., this is naturally not an Indian invention.

So, Li Yang once again brazenly admitted: "That's right, when I was a child, I thought that small seals were complicated and difficult to write, so I used them to replace the small seal numbers when I was very young." ”

"Huh?"

After Zhang Cang heard this, he was amazed again: "I can't imagine that adults are so extraordinary when they are children!" Again, admire. ”

Li Yang waved his hand: "It's just a small meaning, it's not enough!" ”

When Zhang Cang heard this, he said straight in his heart, Prime Minister Zhong is really a humble person.

In his opinion, everyone in the world says that Prime Minister Zhong is arrogant and arrogant, and the world does not understand his talent, if you really understand his talent, you will find that Prime Minister Zhong's wild words in the past can only prove the ignorance of the world.

In order to let Zhang Cang more intuitively appreciate the superiority of Arabic numerals, Li Yang also wrote three, four, and five digits, so that he could understand that it would be extremely convenient to use these Arabic numerals as mathematical applications.

Zhang Cang, who was amazed, hurriedly pointed to those plus signs, minus signs and other symbols and asked, "Then what are these numbers?" ”

Li Yang shook his head: "This is not a number, but a symbol. This is the plus sign, this is the minus sign, this is the multiplication sign, this is the division sign, and this is the equal sign. With these symbols, you can list the equations. For example, look at this ......"

This discussion is a whole day.

Li Yang took the mathematics of later generations, from shallow to deep, and discussed it with this ancient, and Zhang Cang was stunned for a while, wondering if the person in front of him would not be a human, but a god.

In short, after a day of discussion, Zhang Cang almost bowed to the ground.

Of course, Li Yang also told him that he should promote these simple numbers in the textbook in symbols, arithmetic, and vertical forms.

Yes, Li Yang is going to compile a primary school math book that will be exactly the same for future generations!

Because mathematics is so important, it will advance in biology, chemistry, astronomy, and many other subjects! Therefore, several of these subjects must be strictly required.

Fortunately, Zhang Cang is really a mathematical genius, and he knows a little.

Regarding the matter of mathematics textbooks, Li Yang has no worries.

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