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A2 noun 9 min read

算术

suanshu
Examples 算术 in 30 Seconds
Explanation 算术 in your Level:
At the A1 level, you should think of '算术' (suànshù) as the word for simple math. It's what you do when you add 1 and 1. You might hear this word when talking about school or buying things. Even though you are a beginner, knowing this word helps you talk about basic skills. It is made of two parts: 'suàn' (to count) and 'shù' (art/method). So it is the 'method of counting'. You can use it in simple sentences like 'I like arithmetic' or 'He is learning arithmetic'. It's a foundational word for any student. At this stage, just focus on the fact that it means basic math like adding and subtracting. You don't need to worry about complex math words yet. If you see numbers and a plus sign, that is '算术'. It is very common in children's books and basic school conversations. Practice saying the two fourth tones: suàn-shù. It sounds very strong and clear.
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For A2 learners, '算术' (suànshù) is a noun used to describe the subject of arithmetic. You should be able to distinguish it from '数学' (shùxué), which is the broader word for mathematics. At this level, you can use '算术' to talk about your school days or your children's homework. For example, 'My son has arithmetic homework today.' You can also use it to describe someone's ability to calculate quickly. If a friend calculates the bill at a restaurant, you can say 'Your arithmetic is very good!' (你的算术很好!). It's a great word to have in your vocabulary for daily life and basic education topics. You will also see it in compound words like '算术题' (arithmetic problems). Remember that '算' is a very useful root word in Chinese. It appears in many other words you will learn later, like '打算' (to plan). By mastering '算术' now, you are building a foundation for many other related words and concepts in Mandarin.
At the B1 level, you can start using '算术' in more varied contexts, such as comparing different types of calculation. You might discuss the difference between '心算' (mental math) and '珠算' (abacus calculation), both of which are types of '算术'. You should also be aware of the word's role in formal education. In China, '算术' is the primary focus of early elementary school. You can use this word to talk about educational systems or your own learning experiences in more detail. For instance, you might say, 'Arithmetic is the foundation of all science.' (算术是一切科学的基础。) You can also use it in a slightly more abstract way, such as 'arithmetic errors' (算术错误) in a report or budget. At this level, you should be comfortable using the word as a noun in complex sentences with various modifiers. You might also encounter it in historical discussions about Chinese inventions, like the abacus, which was a revolutionary tool for '算术'.
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By B2, you should understand the nuance of '算术' in professional and academic settings. While it remains a word for basic calculation, it can appear in technical terms like '算术平均数' (arithmetic mean). You should be able to explain the difference between '算术' and higher-level math like '代数' (algebra) or '几何' (geometry) in Chinese. You might also use it in discussions about cognitive development or the benefits of learning mental math. For example, 'Practicing arithmetic can improve children's logical thinking skills.' In debates about education, you might hear people discuss whether calculators are making students' '算术能力' (arithmetic ability) decline. You should also be able to recognize the word in literature or news articles where it might be used to describe someone's shrewdness or 'calculating' nature in a metaphorical sense, although this is less common than the literal mathematical meaning. Your usage should be precise, avoiding '算术' when '数学' or '计算' is more appropriate for the level of complexity being discussed.
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At the C1 level, your understanding of '算术' should include its historical and cultural significance. You should be familiar with '《九章算术》' (The Nine Chapters on the Mathematical Art), a seminal work in the history of Chinese mathematics. This shows the word's deep roots in Chinese intellectual history. You can use '算术' to discuss the evolution of mathematical thought in East Asia. In a business context, you might use the term to describe the 'basic math' of a deal or a financial situation, perhaps in a slightly dismissive way to suggest that the fundamentals are simple even if the execution is hard. You should also be able to use the word in sophisticated grammatical structures, such as using it as a topic in a 'Topic-Comment' sentence. Your pronunciation and tones should be perfect, and you should be able to distinguish '算术' from the homophonous '算数' (to count/to be valid) in both speech and writing without hesitation. You might also explore the use of the word in philosophical texts where it represents the order and logic of the universe.
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For C2 learners, '算术' is a word whose every nuance is understood. You can use it to discuss the philosophy of mathematics, comparing 'arithmetic' as an axiomatic system to other branches of logic. You are comfortable using it in highly technical or academic writing, such as in a paper about 'arithmetic progressions' or 'number theory' where '算术' forms part of the terminology. You can also appreciate and use the word in its rarest metaphorical senses in high-level literature. You understand how the concept of 'calculation' (算) permeates Chinese culture, from the legalistic traditions of the Qin dynasty to modern-day economic planning. You can engage in deep conversations about how the teaching of '算术' has changed in the digital age and what that means for human intelligence. At this level, the word is not just a vocabulary item but a window into the historical and logical framework of the Chinese language. You can use it with a sense of style and precision that matches a highly educated native speaker, choosing it specifically for its connotations of foundational, pure numerical manipulation.
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Examples

算术 in 30 Seconds

  • 算术 (suànshù) means arithmetic, focusing on basic number operations like addition, subtraction, multiplication, and division. It is a fundamental noun in Chinese education.
  • Unlike the broader term 数学 (shùxué), 算术 is specific to numerical calculation and is typically associated with primary school learning and daily life counting.
  • It is commonly used as an object for verbs like 'learn' (学) or 'teach' (教), and often describes skills (算术能力) or problems (算术题).
  • The word carries a sense of foundational logic and is essential for anyone wanting to discuss basic education or practical number skills in Mandarin.

The term 算术 (suànshù) represents the most fundamental branch of mathematics, focusing on the properties and manipulation of numbers. While in English we often use 'math' to cover everything from basic addition to complex calculus, Chinese distinguishes between the broad field of 数学 (shùxué) and the specific, foundational skill of 算术. When you use this word, you are specifically referring to the four basic operations: addition, subtraction, multiplication, and division. It is the 'art of calculation'—a literal translation of its components, where 算 means to calculate and 术 means an art, skill, or method.

Educational Context
In primary education, children don't just 'do math'; they specifically study 算术 to build their numerical fluency. It is the bedrock upon which all scientific reasoning is built in the Chinese curriculum.
Daily Life Usage
When someone is quick at calculating a bill at a restaurant without a phone, you might praise their 算术能力 (arithmetic ability). It implies a practical, mental agility with numbers rather than academic knowledge of theorems.

他的算术非常快，不需要计算器。(His arithmetic is very fast; he doesn't need a calculator.)

Historically, 算术 has a deep connection to the abacus (算盘). For centuries, the 'art of calculation' in China was synonymous with the physical manipulation of beads. This legacy persists in the way people think about numbers—often visualizing the movement of values. Even today, in the digital age, being good at 算术 is seen as a sign of a sharp, disciplined mind. It is not just about getting the right answer; it is about the mental discipline required to process information accurately and efficiently.

小学生每天都要练习算术题目。(Primary school students have to practice arithmetic problems every day.)

Cultural Nuance
In older literature, 算术 might refer to divination or fortunetelling using numbers, though this meaning is entirely obsolete in modern Mandarin. Today, it is strictly mathematical.

Furthermore, the word appears in idioms and common expressions related to 'counting' or 'mattering.' While the noun specifically means arithmetic, the root 算 is ubiquitous in verbs like 打算 (to plan) or 就算 (even if). Understanding 算术 helps you grasp the conceptual framework of 'calculation' in Chinese culture, which extends from the classroom to social interactions and personal planning.

老师正在教孩子们基础算术。(The teacher is teaching the children basic arithmetic.)

Using 算术 correctly involves understanding its role as a noun that describes both a subject of study and a specific skill set. It typically appears as the object of verbs like 学 (xué - study), 教 (jiāo - teach), or 做 (zuò - do/solve). Because it refers to a fundamental skill, it is often modified by adjectives like 基础 (jīchǔ - basic) or 心算 (xīnsuàn - mental).

As a Direct Object
The most common structure is [Subject] + [Verb] + 算术. For example, '我弟弟正在学算术' (My younger brother is currently learning arithmetic).

他在考试中因为算术错误丢了分。(He lost points in the exam because of an arithmetic error.)

One important distinction is how 算术 interacts with the word for 'problem' or 'question.' In English, we say 'math problems,' but in Chinese, you can say 算术题 (suànshù tí). This specifically implies problems involving addition, subtraction, etc. If the problem involves variables (algebra) or shapes (geometry), you would shift to using 数学题. This precision is a hallmark of clear Chinese communication.

这道算术题太简单了，我一眼就能看出答案。(This arithmetic problem is too simple; I can see the answer at a glance.)

In more formal or academic contexts, 算术 can be used to describe the theory of numbers. Phrases like 算术平均数 (suànshù píngjūnshù) meaning 'arithmetic mean' show how the word integrates into statistical and scientific terminology. Even though the word feels basic, it is the root of many complex terms. You will also see it used in historical contexts, such as 《九章算术》 (The Nine Chapters on the Mathematical Art), one of the most influential Chinese mathematics books from antiquity.

Compound Usage
Common compounds include 算术课 (arithmetic class), 算术老师 (arithmetic teacher), and 算术水平 (arithmetic level).

为了提高算术水平，他每天练习心算。(To improve his arithmetic level, he practices mental math every day.)

Finally, consider the negative or critical usage. If someone is 'counting' too carefully in a social sense (being stingy or overly calculating about favors), you might use the verb 算, but you wouldn't use the noun 算术. 算术 remains a neutral or positive term associated with cognitive skill and academic foundation. Using it correctly demonstrates a grasp of the hierarchy of mathematical terms in Chinese.

You are most likely to encounter 算术 in environments where learning, childhood, or basic commerce are the focus. In a Chinese household, you'll hear parents quizzing their children: '今天的算术作业写完了吗？' (Have you finished today's arithmetic homework?). It is a word associated with the formative years of education, carrying a sense of nostalgia for adults and a sense of duty for children.

In the Classroom
Teachers use it constantly when addressing younger students. While the textbook might say 'Mathematics' (数学), the teacher will often say, 'Let's do some arithmetic practice' (我们来做一些算术练习).

爷爷在教孙子用算盘做算术。(The grandfather is teaching his grandson how to do arithmetic using an abacus.)

In traditional markets (菜市场), while people may not say the word 'arithmetic' out loud, the act of 算术 is happening everywhere. If a dispute arises over the price, someone might say, '你算术没学好吗？' (Did you not learn arithmetic well?), implying the other person made a basic calculation error. It’s a slightly biting way to point out a mistake in change or weight.

虽然他没上过学，但他的算术比谁都好。(Even though he never went to school, his arithmetic is better than anyone's.)

Another place you'll hear it is in discussions about 'mental math' competitions, which are quite popular in East Asia. Commentators will talk about the participants' 算术技巧 (arithmetic skills) and their incredible speed. In these contexts, 算术 is treated like a sport or a high-level performance art. It emphasizes the human capacity for calculation without technological aid.

News and Media
You might hear it in reports about early childhood development or when discussing the 'arithmetic mean' in economic reports, though the latter is more technical.

这种新方法能让孩子更快乐地学习算术。(This new method allows children to learn arithmetic more happily.)

Lastly, you'll hear it in metaphorical senses. When someone says '心里有一本算术账' (having an arithmetic book in one's heart), they mean the person is very clear about their own interests or the costs and benefits of a situation. It suggests a person who is shrewd and doesn't make mistakes in their 'social' calculations.

The most frequent mistake learners make with 算术 is using it as a direct synonym for 'Mathematics' (数学). While all arithmetic is math, not all math is arithmetic. If you are studying trigonometry, calculus, or statistics at a university level, calling it 算术 will make you sound like you are in kindergarten. Always use 数学 for the academic discipline and 算术 for the act of basic calculation.

Confusing Noun and Verb
Learners often try to use 算术 as a verb (e.g., '我算术这个'). This is incorrect. The verb for 'to calculate' is simply 算 (suàn) or 计算 (jìsuàn). 算术 is the name of the subject or the skill.

错误：他在算术那个数字。(Wrong: He is 'arithmeticing' that number.)
正确：他在计算那个数字。(Right: He is calculating that number.)

Another common error is the misuse of measure words. Unlike 'books' or 'apples,' 算术 as an abstract noun doesn't usually take a measure word like 个. If you want to talk about a specific problem, use 道 (dào) as in '一道算术题.' If you want to talk about a class, use 门 (mén) as in '一门算术课.'

他这道算术题做错了，结果应该是十。(He got this arithmetic problem wrong; the result should be ten.)

Contextual appropriateness is also key. In a professional engineering environment, referring to a colleague's work as '算术' might be seen as belittling, implying their work is simple and childish. Use 计算 (calculation) or 算法 (algorithm) instead to maintain a professional tone.

Overgeneralization
Avoid saying 'I like arithmetic' if you mean you like complex problem solving. People will assume you just like adding numbers together.

我小时候最讨厌上算术课。(When I was little, I hated going to arithmetic class the most.)

Finally, watch out for the phrase '算数' (suàn shù). Although pronounced the same (fourth tone then fourth tone, or sometimes neutral), 算数 often means 'to count' or 'to be valid/to hold.' For example, '说话算数' means to keep one's word. Using the characters for 'arithmetic' (算术) when you mean 'to keep one's word' (算数) is a common orthographic error even for native speakers, but as a learner, keeping them distinct will greatly improve your writing.

Understanding 算术 requires placing it within a family of related terms. The most important comparison is with 数学 (shùxué), but there are several other words that overlap in meaning depending on the context.

算术 vs. 数学 (Mathematics)
算术 is a subset of 数学. Use 算术 for basic operations (1+1=2). Use 数学 for the entire academic field, including algebra, geometry, and beyond.
算术 vs. 计算 (Calculation)
算术 is the name of the discipline/skill. 计算 is the action of calculating. You *do* a 计算 using your *knowledge* of 算术.

这个复杂的计算需要很强的算术功底。(This complex calculation requires a strong foundation in arithmetic.)

Other related terms include 代数 (dàishù - algebra) and 几何 (jǐhé - geometry). While these are separate branches, people often group them under the umbrella of 'math.' In a school setting, 算术 is what you learn before you move on to 代数. Another interesting alternative is 心算 (xīnsuàn), which specifically means mental arithmetic. If you want to emphasize that no paper or calculator was used, 心算 is the more precise term.

比起算术，我更喜欢几何，因为我喜欢画图。(Compared to arithmetic, I prefer geometry because I like drawing.)

In a more informal or slangy context, people might use 口算 (kǒusuàn), which literally means 'mouth calculation,' referring to solving problems out loud or mentally. This is very common in primary schools. There is also 珠算 (zhūsuàn), which specifically refers to arithmetic performed on an abacus—a traditional skill still taught in some specialty classes in China.

Summary of Hierarchy
Mathematics (数学) > Arithmetic (算术) > Mental Math (心算/口算).

他的珠算技术在比赛中拿了第一名。(His abacus arithmetic technique won first place in the competition.)

Lastly, consider the word 统计 (tǒngjì - statistics). While statistics uses arithmetic, it is a different field of study. If you are looking at data trends, you are doing 统计, not just 算术. Choosing the right word from this set shows that you understand not just the language, but the logical structure of how Chinese speakers categorize knowledge.

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Examples by Level

1

我会做算术。

I can do arithmetic.

Simple Subject + Verb + Object structure.

2

算术很难吗？

Is arithmetic difficult?

Question formed with '吗'.

3

他在学算术。

He is learning arithmetic.

Using '在' to indicate an ongoing action.

4

算术很有趣。

Arithmetic is very interesting.

Subject + Adjective phrase.

5

这是我的算术书。

This is my arithmetic book.

Possessive marker '的'.

6

老师教我们算术。

The teacher teaches us arithmetic.

Double object verb '教' (teach).

7

一加一就是算术。

One plus one is arithmetic.

'就是' used for emphasis/definition.

8

我不喜欢算术。

I don't like arithmetic.

Negative '不' before the verb '喜欢'.

1

他每天练习算术题。

He practices arithmetic problems every day.

Time adverb '每天' placed before the verb.

2

你的算术真不错！

Your arithmetic is really not bad (very good)!

'真不错' is a common way to give a compliment.

3

小学一年级有算术课。

There are arithmetic classes in the first grade of primary school.

Locative phrase + '有' to indicate existence.

4

这道算术题太简单了。

This arithmetic problem is too simple.

Measure word '道' used for problems/questions.

5

我们要学好基础算术。

We need to learn basic arithmetic well.

Resultative complement '好' after the verb '学'.

6

他算术考试得了满分。

He got a perfect score on the arithmetic exam.

Verb-object '考试' modified by '算术'.

7

算术比代数容易一点。

Arithmetic is a bit easier than algebra.

Comparison structure 'A 比 B + Adjective'.

8

请帮我检查一下算术作业。

Please help me check the arithmetic homework.

Request using '请' and '一下' for a brief action.

1

心算是算术的一种技巧。

Mental calculation is a technique of arithmetic.

Defining a relationship using '是...的一种'.

2

他因为算术错误算错了帐。

He miscalculated the bill because of an arithmetic error.

Cause and effect using '因为'.

3

算术水平反映了一个人的逻辑能力。

Arithmetic level reflects a person's logical ability.

Abstract subject '水平' (level).

4

我们在算术课上学习加减乘除。

We learn addition, subtraction, multiplication, and division in arithmetic class.

Listing items using no conjunction or '和'.

5

即使有了计算器，也要学算术。

Even if there are calculators, one still needs to learn arithmetic.

Concessive structure '即使...也...'.

6

他小时候的算术成绩一直很好。

His arithmetic grades were always good when he was a child.

Time phrase '小时候' as a modifier.

7

这本算术书已经用了十年了。

This arithmetic book has been used for ten years.

Duration of action using '了...了'.

8

算术不仅仅是数字的加减。

Arithmetic is not just the addition and subtraction of numbers.

Negative focus '不仅仅是' (not just).

1

算术平均值是统计学中的基础概念。

The arithmetic mean is a fundamental concept in statistics.

Technical term '算术平均值'.

2

他能迅速完成复杂的算术运算。

He can quickly complete complex arithmetic operations.

Formal word '运算' (operation/calculation).

3

古代中国的算术成就非常突出。

The arithmetic achievements of ancient China were very prominent.

Historical/Academic register.

4

这种教学法旨在提高学生的算术兴趣。

This teaching method aims to increase students' interest in arithmetic.

Formal structure '旨在' (aims at).

5

算术逻辑单元是计算机的核心部件。

The Arithmetic Logic Unit (ALU) is a core component of a computer.

Technical computer science terminology.

6

他在处理财务报表时非常注重算术细节。

He pays great attention to arithmetic details when handling financial statements.

Professional context using '注重' (pay attention to).

7

算术能力的退化引起了专家的担忧。

The decline of arithmetic ability has caused concern among experts.

Nominalization of '退化' (decline/atrophy).

8

这些算术规则是所有数学理论的前提。

These arithmetic rules are the prerequisite for all mathematical theories.

Logical relationship using '是...的前提'.

1

《九章算术》对后世数学的发展影响深远。

'The Nine Chapters on the Mathematical Art' had a profound influence on the development of later mathematics.

Proper noun of a classic text.

2

算术在日常交易中的应用远比代数广泛。

The application of arithmetic in daily transactions is far more extensive than that of algebra.

Comparative structure with '远比' (far more than).

3

他的理论建立在严谨的算术推导之上。

His theory is built upon rigorous arithmetic derivation.

Formal phrase '建立在...之上' (built upon).

4

即便在高等数学中，算术的基本法则依然适用。

Even in higher mathematics, the basic laws of arithmetic still apply.

Concessive '即便' (even if).

5

这种算法优化了大规模数据的算术处理过程。

This algorithm optimized the arithmetic processing of large-scale data.

High-level technical vocabulary.

6

算术思维的严密性是科学探索的基石。

The rigor of arithmetic thinking is the cornerstone of scientific exploration.

Abstract philosophical statement.

7

他不仅精通几何，对算术理论也有独到见解。

He is not only proficient in geometry but also has unique insights into arithmetic theory.

Structure '不仅...也...' (not only... but also).

8

算术题的巧妙设计能激发学生的探索欲望。

The clever design of arithmetic problems can stimulate students' desire to explore.

Complex subject with '的' modification.

1

算术之美在于其逻辑的纯粹与自洽。

The beauty of arithmetic lies in the purity and self-consistency of its logic.

Poetic/Philosophical register.

2

任何宏大的科学架构都离不开基础算术的支撑。

Any grand scientific architecture cannot do without the support of basic arithmetic.

Double negative '离不开...支撑' for emphasis.

3

他在算术领域的造诣已臻化境，令人叹为观止。

His attainments in the field of arithmetic have reached perfection, leaving people in awe.

Idiomatic expression '已臻化境' (reached perfection).

4

算术公理化的尝试揭示了数学逻辑的深层结构。

Attempts at the axiomatization of arithmetic revealed the deep structure of mathematical logic.

Academic/Theoretical terminology.

5

在处理这类悖论时，传统的算术逻辑显得力不从心。

When dealing with such paradoxes, traditional arithmetic logic appears inadequate.

Idiomatic '力不从心' (powerless to help).

6

算术运算的精确性是航天工程成功的关键保障。

The precision of arithmetic operations is a key guarantee for the success of aerospace engineering.

Formal nominalized subject.

7

该论文深入探讨了算术级数在数论中的应用。

The paper explores in depth the application of arithmetic progressions in number theory.

Academic research register.

8

算术不仅仅是一种工具，更是一种人类认知的表达。

Arithmetic is not just a tool, but an expression of human cognition.

Elevated rhetorical structure '不仅是...更是...'.

Synonyms

计算 数学 心算 口算 珠算 代数 算法 数理

Antonyms

文科 艺术 估算 直觉

Common Collocations

基础算术
算术题
算术平均数
算术错误
算术课
算术老师
算术运算
算术能力
学算术
做算术

Common Phrases

九章算术

— An ancient Chinese mathematical text. It is a classic work of world mathematics.

《九章算术》是中国古代数学的巅峰之作。

算术级数

— Arithmetic progression. A sequence of numbers with a constant difference.

这个数列是一个典型的算术级数。

心算算术

— Performing arithmetic in one's head. It emphasizes speed and memory.

心算算术是提高反应能力的好方法。

简单的算术

— Basic or easy math. Often used to describe a straightforward situation.

这只是一个简单的算术问题，不用想太多。

算术水平

— One's level of proficiency in arithmetic. Used to evaluat

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