Meaning
The kanji 算 (san) primarily conveys meanings like "calculate," "count," "compute," "forecast," and "arithmetic." Its structure offers a clear insight into its origins. The character is composed of two main parts: the 竹 (take) radical, meaning "bamboo," positioned at the top, and 具 (gu), meaning "tool" or "utensil," at the bottom. This combination vividly illustrates the historical practice of using bamboo counting sticks, known as 算木 (san-gi), for calculations.
Historically, thin bamboo sticks were fundamental tools for mathematical operations in East Asia. These sticks were arranged on a counting board to represent numbers and solve various arithmetic problems. Thus, the 'bamboo' radical directly points to these ancient counting implements, while the 'tool' component signifies their function in computation. The kanji's visual representation, therefore, directly connects to its core meaning of computation and numerical work. As part of the Kyōiku Kanji (education kanji) list, it's taught to elementary school students in Japan, specifically in the 6th grade. This designation reflects its foundational importance in both language and mathematics. The character itself consists of 14 strokes, which contribute to its balanced and recognizable form.
Readings
On'yomi (音読み) — Chinese-derived readings
The primary On'yomi (Chinese-derived reading) for 算 is サン (SAN). This reading appears extensively in compound words related to mathematics, finance, planning, and evaluation. It typically comes into play when 算 combines with other kanji to form more complex concepts.
計算 (keisan) — calculation, reckoning, computation. This is perhaps the most common compound, directly referring to the act of performing arithmetic, like '授業料を計算する' (jugyōryō o keisan suru - calculate tuition fees).
予算 (yosan) — budget, estimate. Here, 算 combines with 予 (yo, beforehand) to signify a calculation or plan made in advance. For example, '旅行の予算を立てる' (ryokō no yosan o tateru - to make a travel budget).
精算 (seisan) — exact calculation, adjustment (of accounts). 精 (sei, precise) emphasizes the accuracy of the calculation, as in '交通費を精算する' (kōtsūhi o seisan suru - to adjust/settle transportation fees).
暗算 (anzan) — mental arithmetic. 暗 (an, dark/hidden) indicates calculation done in one's head without writing it down. For instance, '暗算で答えを出す' (anzan de kotae o dasu - to get the answer by mental arithmetic).
Kun'yomi (訓読み) — Native Japanese readings
While 算 doesn't have a commonly used standalone Kun'yomi (native Japanese reading) as a verb, it does feature in the word 算盤 (そろばん - soroban). The そろ (soro) part of 算盤 is often cited as a kun'yomi-related reading. This specific usage connects directly to the traditional abacus, a mechanical counting device that succeeded the bamboo counting sticks.
- 算盤 (soroban) — abacus. This word refers to the classic counting device, the abacus, which is a direct descendant of the calculation principles embodied by 算.
Common Words & Compounds
The kanji 算 forms the basis of many words across various domains, from everyday finance to complex projections. Here are some common examples to help you see its versatility:
General Calculation & Mathematics
計算 (keisan) — calculation, computation
算数 (sansū) — arithmetic, mathematics (especially at elementary level)
算式 (sanshiki) — formula, equation
算定 (santei) — calculation, assessment
Planning & Forecasting
予算 (yosan) — budget, estimate
採算 (saisan) — profitability, break-even point
試算 (shisan) — trial calculation, estimate
概算 (gaisan) — rough estimate, approximation
Financial & Accounting Terms
精算 (seisan) — exact calculation, adjustment (of accounts/fares)
決算 (kessan) — settlement of accounts, financial statement
換算 (kansan) — conversion (of currency, units, etc.)
Abstract & Other Uses
打算 (dasan) — calculation, reckoning, self-interest
加算 (kasan) — addition, summation
減算 (genzan) — subtraction
Example Sentences
明日の旅行の費用を計算してください。
Ashita no ryokō no hiyō o keisan shite kudasai.
Please calculate the cost of tomorrow's trip.
彼は暗算がとても速いです。
Kare wa anzan ga totemo hayai desu.
He is very fast at mental arithmetic.
会社の予算を見直す必要があります。
Kaisha no yosan o minaosu hitsuyō ga arimasu.
We need to review the company's budget.
電車賃の精算をお願いします。
Denshachin no seisan o onegai shimasu.
Please adjust the train fare (exact calculation).
先生は子供たちに算数を教えます。
Sensei wa kodomo-tachi ni sansū o oshiemasu.
The teacher teaches arithmetic to the children.
来年の売上を試算してみましょう。
Rainen no uriage o shisan shite mimashō.
Let's try to estimate next year's sales.
彼はいつも打算で物事を考えます。
Kare wa itsumo dasan de monogoto o kangaemasu.
He always thinks about things calculatingly (with self-interest).
海外での生活費を換算すると、かなり高くなる。
Kaigai de no seikatsu-hi o kansan suru to, kanari takaku naru.
When converting the cost of living overseas, it becomes quite high.
Memory Tip
To remember 算, visualize its components: the 'bamboo' (竹) on top and 'tool' (具) below. Imagine an ancient scholar using bamboo counting sticks—their primitive yet effective 'tools'—to perform calculations. Picture the bamboo sticks laid out carefully, resembling the strokes of the upper part. The lower part represents the skilled hand or device manipulating them to 'calculate' sums. Think of the abacus (算盤 - soroban) as a direct evolution of these bamboo tools, always used for counting and reckoning. This mental image of bamboo-based tools for arithmetic should firmly link 算 to its core meanings of calculation and counting.