Collect crowd into immortals

Chapter 108 New Counting Methods
In the small courtyard of Chen Zengwen's house, after confirming the information of other arithmetic experts, Chen Guting and his party left.

They have to go to investigate again.

At the gate of the small courtyard, looking at the backs of them leaving, Mrs. Xu hugged her grandson and looked at her husband worriedly, "Old man, where is the ancestor..."

Although she hadn't finished speaking, the husband and wife had been together for most of their lives, and they were too familiar. Chen Zengwen naturally knew what his wife meant. He patted his wife on the shoulder and comforted him:

"Don't worry! That point of Qi and Blood Pill is really nothing to the ancestor! And you didn't listen to what the ancestor said, it is considered to be a share of the old man's future! If my prediction is correct, then our family will There should be big changes, and it should have something to do with arithmetic. Just don't know what exactly."

"Okay! Then don't disappoint the ancestor's wishes!"

"It's natural!"

During the response, seeing that several people in the distance had disappeared around the corner, Chen Zengwen sighed, "Let's go! Go home! Go back and sort out the materials! Then wait for the weather!"

"Grandpa, grandpa! Baoer help you! Baoer help you!"

"Okay! Our Bao'er is so good! With Bao'er's help, grandpa will definitely save a lot of trouble!"

"Hehehe! Bao'er is the most powerful!"

……

While the few people were busy, Chen Guting also spent a morning shopping around Jingnan City, inspecting the arithmetic level of several arithmetic experts one by one.

As for the inspection results, Chen Guting was also very satisfied, which can be seen from his smiling face.

And now, a group of them are standing in front of a small private school.

This is the last stop of their investigation, and it is also the work place of the last arithmetic expert——Xu Xinming.

After entering the private school, after being told by the waiter, a middle-aged man with a refined temperament came out of the classroom.

"How many are?"

"Master Xu, hello, we are guarding the mansion, we have something to do with you!" Master Chen Xiangyu said consciously.

"Guardian Mansion?"

Hearing these words, and looking at the group of people, except for the one who spoke, all of them have an extraordinary demeanor.Especially the moment he saw the old man with white hair and youthful face, Xu Xinming immediately understood that the few people who came were all immortal cultivators from the clan.

Seeing this, regardless of doubts, he hastily cupped his hands and saluted, "I have seen a few elders!"

"Don't be too polite! I'm here to bother you, but I actually have something to ask for advice!"

"Ask for advice? I don't dare to take it! I don't dare to take it! If the immortal asks something, I, the villain, will tell you everything I know, and I will tell you everything!"

"You don't need to be a villain, just use your usual address!"

Chen Guting waved his hand.

He didn't care about those annoying customs.

Besides, after all, they are members of their own family, and they still come to ask questions. If they really let others keep calling them "little people", how embarrassing it would be!

During the chat, several people came to a pavilion. After the waiter brought hot tea, Chen Guting finally understood the reason!

"A new counting method? I did make some gadgets before I was born late, but I don't know if they can get into the eyes of the elders."

Although Xu Xinming was very proud of his new invention, but the other party was a cultivator after all, so he had to be cautious in his words and deeds.

Before coming to Lianhu Island, his parents gave him countless warnings not to offend the immortal cultivators.

"What's so inconspicuous! You literati are really more humble than each other." As he said that, Chen Guting also remembered the previous visit process, which was actually the same.

In this regard, Xu Xinming smiled sarcastically.

Compared with other people, the relationship between myself and the other person is more distant, so naturally I should be more polite.

But now that the elder has said this, he is no longer too modest, but goes straight to the point and explains his new counting method:

“Elder, please look!
The numbers we commonly use are written like this, such as one, two, three, four, five, six, seven, eight, nine, eleven, twelve, all the way to one hundred, one thousand, ten thousand.

This method is okay in the early stage, but once tens of thousands, hundreds of thousands, or even larger numbers are involved, there is an obvious disadvantage, that is, it is too cumbersome. "

"Too cumbersome? Is there any?"

Chen Changzhi's eyes widened, he turned his head and asked in a low voice to his wife.

He had been using it for decades before, and he never found it cumbersome.

Unexpectedly, when his wife Li Jiawen heard his question, she tugged on his sleeve and said, "Listen carefully!"

"Oh oh oh!"

And as if hearing his question, Xu Xinming's voice came again: "Besides, there is also the problem of decimals, we have to remember the points, centimeters, centimeters, silk, sudden, micro ' and even the calculus part. It's more complicated that way.

So Wansheng wondered if there was an easier way to simplify it.

After that, after many years of exploration and experimentation in his later years, he finally created some special symbols to represent all these. "

"Special symbols?" Chen Changzhi couldn't help answering.

"Yes! It's a symbol. For example, the zero we often use can be expressed like this..."

While talking, Xu Xinming took out a charcoal pencil and drew a small circle on the table.

"Is this zero?" Chen Changzhi looked left and right, but he still couldn't see what this symbol had to do with zero.

They look nothing alike!

Unexpectedly, upon hearing his question, Xu Xinming nodded affirmatively, "It's zero! Like the 'zero' in our mouth, they both mean nothing. Let's put it this way, it's actually pronounced zero, but It’s not the same as before.”

"Understood! Understood!" Chen Changzhi nodded, but in fact it has not changed!But then, he raised another question: "But what's the use of that?"

Yes, changing back and forth, isn't it still the same meaning?
Why bother to do this?

"Elder Immortal, don't worry, let Wansheng speak slowly first. After we have zero, we will express one next..."

As he said that, Xu Xinming drew a vertical line on the side of the circle, using it to represent one.

……

After 'one' is over, it is 'two three four five six seven eight nine'.

After Xu Xinming described all the ten symbols he created, he picked up a charcoal pencil and drew a vertical bar on another open space, followed by a circle.

"Ten says so.

For the next eleven, it’s like this…”

Two vertical bars.

Then by analogy, the next is twelve, thirteen, until twenty, thirty, one hundred, one thousand, ten thousand, or even one hundred million.

Everything like this can be represented by those ten symbols.

After the demonstration, Xu Xinming drew a comma between the tens of thousands and hundreds of millions of numbers, "In order to prevent the numbers from being too long and inconvenient to read, I marked them with separators. Every four numbers are one group, labeled once.

That is, the words "tens of thousands" are followed by a separator, and then followed by four numbers.

The same applies to hundreds of millions and hundreds of millions. There is a separator after 'billion' and 'ten thousand'. "

Talk and write.

In an instant, the numbers on the table took on a new look.

Seeing this, Chen Changzhi nodded.

"It's really refreshing! It's also easy to recognize, but what's the use? After all, there are so many symbols to memorize."

Although there are not many eleven symbols, and the rules in them are very simple, but the original one is not unusable, why do other people have to use him?
Regarding his doubts, Xu Xinming did not show any disappointment, but continued to explain patiently:

"The first advantage is that what the late students just said is easy to recognize and learn.

In fact, the main purpose of late birth was to distinguish it from our usual characters. "

"Distinguish?" Chen Changzhi didn't know why.

"That's right! It's just for distinguishing. The Immortal Elder should have read "Nine Chapters of Arithmetic". I don't know how you feel. When I was learning it, I always felt that the numbers in it were not eye-catching enough, and it was easy to confuse them with other words. See it as a ball.

But if all the numbers in it are replaced with unique symbols, then can we see at a glance which ones are text and which ones are numbers. "

"It seems to be the case!"

"Sir, what he said is justified!"

Chen Changzhi and the master next to him looked at each other and nodded at the same time.

The two of them often have to correct official documents and check accounts. As Mr. Xu said, there will indeed be confusion.

And if, as the other party said, all the numbers in it were replaced with symbols, they would indeed be able to tell them out at a glance, and even more than that, because of the natural structure of the symbols, they could easily judge what was wrong with the numbers.

For example, before, they had to read out the entire number to understand its meaning, but now, with just a glance, they can tell which level it is at and what each digit is...

In short, it is indeed much more convenient.

Just like the difference between 810 two and 1.Although the reading method has not changed, only the writing method has changed, but the latter is indeed more eye-catching and easy to identify.

After being persuaded by the other party, Chen Changzhi asked again.

"How do you express fractions and decimals?"

He knew that there were many fractions and decimals in "Nine Chapters of Arithmetic".Now that numbers already have symbols, we must not forget these two.

"So that the immortal will know, Wan Sheng created two more symbols."

"What else?" Chen Changzhi was surprised.

Cooperating with you to create a symbol for each type, how much is that worth!
And, what's your brain?
Xu Xinming smiled slightly and continued: "First of all, decimals. Wan Sheng completely abandoned the counting method of 'every centimeter, the slightest, the slightest' created by Mr. Liu Hui, but ignored them and wrote them directly.

Just like this, one, a small dot, indicating the previous 'again', followed by numbers, three, four, five, six, seven...

Write 1.34567 and read it as [-].No other delimiter aids are required at all. "

"So simple?"

Seeing the simple numbers on the table, Chen Changzhi's eyes lit up.

Even if he doesn't have much research on arithmetic, he also understands that this counting method is much better than before.

It can even be regarded as a world of difference!

Seeing this, he was about to speak to Fifth Uncle, but was blocked by him.

"Let's talk after reading it!"

While the uncle and nephew were talking, Xu Xinming continued to introduce: "As for the score, late students use another symbol."

As he spoke, he drew another horizontal line on the table, and wrote a number below and above.

After finishing writing, he explained: "The number above represents the numerator we often say, and the one below is the denominator. The pronunciation is the same as before, it is read as a fraction. For example, this is read as one-third two."

But just after he finished speaking, Chen Changzhi, the elder of the fairy, affirmed excitedly: "Well, this one is also simple! It's easy to identify! Is there any more?"

"and also!"

With his affirmation, Xu Xinming smiled inwardly, and continued: "The late students also replaced addition, subtraction, multiplication, and division with symbols."

As he spoke, he drew four different symbols on the table, pointed to them and explained: "This is addition, this is subtraction, this is multiplication and division. As for the application, we can do it like this. For example, one plus Two equals three, we can write like this..."

Soon, an equation that Chen Changzhi and others had never seen appeared on the table: 1+2=3.

Just when several people were full of doubts, Xu Xinming opened his mouth to explain: "I call the symbol in the middle an equal sign, which means that both sides are equal."

After the addition was demonstrated, he then demonstrated: subtraction, multiplication, and division.

Of course, if the numbers on both sides of the equal sign need to be transformed, what operations should be performed to ensure that the equality is established. (addition and subtraction interchange, multiplication and division interchange)
After finishing, Xu Xinming introduced his new discovery - vertical calculation.

"At present, the laws of addition, subtraction, and multiplication have been summed up at night. During the calculation process, it is necessary to align the numbers with the same number of digits, and then carry out carry and borrow.

But regarding division, Wan Sheng still doesn't know how to express it to be perfect, but Wan Sheng believes that Wan Sheng can do it! "

"very good already!"

Chen Guting nodded with a smile and praised.

He didn't expect to have such a harvest this time.

While the two were talking, Chen Changzhi and his master Chen Xiangyu found a piece of land and started doing calculations.

After a while, after the completion, the two looked at the calculation formula on the ground and exclaimed: "It's really possible!"

This time, they didn't use calculation chips, but relied on the calculation symbols and calculation rules they had just learned to calculate the result.

After they calculated it, they checked it again with arithmetic chips, and found that the result was indeed correct, not bad at all.

After that, they didn't give up. After checking a few formulas again, they had to admire this Mr. Xu.

Because there are not only no errors, but even the calculation efficiency has been greatly improved.

In the past, it took them at least ten breaths to calculate a four-digit addition, subtraction, and multiplication. But now, it only takes two or three breaths to complete it. After all, the new method has at least improved the speed. Five or six times.

In addition, they also found that the new method is much easier than calculating. At least for now, as long as they want to, they can hold a branch, a small stone, or even use any tools, and they will be able to move the tree on the ground. The result is calculated quickly.

And it is calculated accurately.

Is such a method really something that mortals can think of?
A suspicion rose in the hearts of several people.

Because it really challenges their cognition.A mere mortal can do something that so many immortal cultivators can't do.

To be honest, if the other party hadn't come to their Lianhu Island since they were young, and had never been out in the middle, they would have thought that the other party had learned the secrets of some school's arithmetic.

But since it wasn't, then the Chen family really found a treasure this time.

Isn't it a blessing for such a genius to come to their Chen family?
While several people were feeling emotional, Xu Xinming's voice came again,

"Xian Chang, in fact, in addition to these, Wan Sheng believes that squares, cubes, and square roots can all have independent symbols. Once these are completed, arithmetic can be completely independent from commonly used words. By then, arithmetic will It is likely that it will also enter a new stage of development.

By the way, Xianchang, after the students created the corresponding calculation symbols, they also rewrote "Nine Chapters of Arithmetic", and asked Xianchang to comment on it. "

As he spoke, he took out a thin booklet from his pocket and handed it to Chen Guting.

Chen Guting looked through it roughly, and found that it was indeed represented by new symbols.

Even, except for the questions, other calculation processes are all kinds of symbols.After such rewriting, not only was it much simpler and easier to read, but even the thickness of the book was reduced by more than half than before.

In response, Chen Guting had to nod his head in praise, "My family definitely has great talents!"

Before meeting Xu Xinming, although he had some curiosity and anticipation in his heart, to be honest, to be honest, this expectation was actually not much.At most it's just for fun!
Inventing new counting methods sounds like a novelty, but that's about it.

But until I saw the counting method of the other party with my own eyes, saw the symbols created by the other party, saw the new number representation method of the other party, saw the equation, saw the four arithmetic symbols, and the magical vertical calculation, this one Each pile made the heart of the old man feel like a wave of shock, one after another, and one wave was stronger than the other.

In a daze, he seemed to see the figure of the grandnephew from the other party.

The same so calm, calm, the same so versatile.

Although the fields of the two are different, one is cultivation and the other is arithmetic, but their unwillingness to be lonely is the same.

Always love to do something new!
After thinking about it, Chen Guting no longer hesitated, took out a Qi and Blood Pill from his bosom, and injected it into the opponent's body after a warning.

After a lot of work, the auxiliary refining was completed.

At this time, Xu Xinming, who was standing there, felt the surging power coming out of his body, felt the vigorous and brand-new body, and immediately cupped his hands in thanks: "Thank you, Immortal!"

"Don't call me Xianchang, call me Patriarch! Old Chen Guting of Old Lianhu Island ranks fifth in the ancient character generation, and his name is Chen Guting."

While speaking, Chen Guting also had a smile on his face.It's okay to be unhappy that such a genius is now a disciple of his own Chen family!
"I have seen my ancestor!"

"Well! Xinming, next, you put aside the matter of the school first, sort out these theories of yours, it is best to organize them into a booklet, wait a few days, the ancestor will give you a surprise!"

"I understand clearly! Don't worry, ancestor!"

"Ok!"

After Chen Guting responded again, he said goodbye to his nephew, niece and daughter-in-law and left.

After returning to the town guard's mansion, he didn't delay, and directly rushed towards Lianhua Mountain with Yujian.

Seeing how decisive he was, Chen Changzhi on the edge of the rockery couldn't help but muttered: "It's true that Fifth Uncle left before he even said the reason! Are you in such a hurry? It's true!"

But just after he finished feeling, he saw a flash of surprise on the face of his wife next to him.

Seeing this, he quickly asked, "Jiawen, do you know the reason?"

Hearing this, Li Jiawen pondered for a moment before saying, "Didn't Fifth Uncle say before that he couldn't find his comrades, now he should have found them!"

"Comrade? Found? You mean, those good at arithmetic? Can they do it?"

"Is that okay? Haven't you seen everything?"

"No! What I mean is, Uncle Wu has practiced spells well, so there is no need to find them, right? Even if those people are really great and useful to the family's formation masters, Uncle Wu doesn't need to participate in it himself, he ordered That's right. When there is a new algorithm, I will report it, why should he go there and participate in it himself?"

"Perhaps, Fifth Uncle wants to personally leave a legacy for the family!"

After Li Jiawen finished speaking, he turned his head.It seemed that she didn't want her husband to see her evasive eyes.

After all, she knew that if Uncle Wu also wanted to take a new path, then studying arithmetic and mathematics could be regarded as a way for Uncle Wu to reach the sky.

After all, Fifth Uncle is determined to fight!

Of course, she couldn't tell her husband Chen Changzhi about these things, so she could only vaguely say that it was to preserve the truth.

(End of this chapter)