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1 Primary & Middle School Mathematics1–9 年级在线 2 High School Mathematics10–12 年级在线 3 University Mathematics — Year 1本科一年级在线 4 University Mathematics — Year 2本科二年级在线 5 University Mathematics — Year 3本科三年级在线

1 Primary & Middle School Physics1–9 年级在线 2 High School Physics10–12 年级在线 3 University Physics — Year 1本科一年级在线 4 University Physics — Year 2本科二年级在线 5 University Physics — Year 3本科三年级在线

1 School Chemistry — Grades 1 to 121–12 年级在线 2 University Chemistry — Year 1本科一年级在线 3 University Chemistry — Year 2本科二年级在线 4 University Chemistry — Year 3本科三年级在线

1 Primary & Middle School Biology1–9 年级在线 2 High School Biology10–12 年级在线 3 University Biology — Year 1本科一年级在线 4 University Biology — Year 2本科二年级在线 5 University Biology — Year 3本科三年级在线

1 Primary & Middle School Earth and Space Sciences1–9 年级在线 2 High School Earth and Space Sciences10–12 年级在线 3 University Earth and Space Sciences — Year 1本科一年级在线 4 University Earth and Space Sciences — Year 2本科二年级在线 5 University Earth and Space Sciences — Year 3本科三年级在线

1 Markets I: The Ecosystem and Exchange-Traded Markets市场在线 2 Markets II: Rates, FX and Credit市场在线 3 Markets III: Commodities, Energy and Crypto市场在线 4 Quantitative Methods方法在线 5 Derivatives and Volatility衍生品在线 6 Rates, Credit, XVA and Risk利率、信用与风险在线 7 Research Craft: Predictors, Backtests, Measurement, Portfolios研究在线 8 Strategies I: Equities and Futures策略在线 9 Strategies II: Volatility, Relative Value, Macro and the Bank Desks策略在线 10 Microstructure and Execution交易执行在线 11 Market Making and High-Frequency Trading做市在线 12 Machine Learning for Markets机器学习在线 13 Low-Latency Software技术在线 14 Networks, Hardware and Trading Infrastructure技术在线 15 Research, Data and Risk Platforms技术在线 16 The Desk and the Firm公司运营在线 17 The Industry: Firms, Roles and Careers职业发展在线 18 Interviews I: Maths, Probability and Speed职业发展在线 19 Interviews II: Markets, Trading Games and the Final Round职业发展在线 20 Interviews III: Code职业发展在线

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Mathematics · 术语表

什么是 Place value？

Definition 14.1 Primary & Middle School Mathematics · 第 14 章 — Numbers up to 10 000

A number is written with the digits $0, 1, 2, \dots, 9$ . Reading from the right, the places are: units, tens, hundreds, thousands. In $3\,254$ :

3\,254 = 3 \text{ thousands} + 2 \text{ hundreds} + 5 \text{ tens} + 4 \text{ units}.

The place-value table of 3\,254, read “three thousand two hundred fifty-four”. — The place-value table of $3\,254$ , read “three thousand two hundred fifty-four”.

示例

Example 14.2 (The zero that holds a place)

“Four thousand and seven” is written $4\,007$ : a $4$ in the thousands, a $7$ in the units, and zeros in between to keep each digit in its right place. Without them, $47$ would be a very different number!

Example 14.3 (Exchanging)

Ten units make one ten; ten tens make one hundred; ten hundreds make one thousand. So $10$ hundreds $= 1\,000$ , and $32$ tens $= 320$ : the number $320$ contains $32$ tens (not just the digit $2$ !).

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Definition 37.1 Primary & Middle School Mathematics · 第 37 章 — Whole Numbers

Our way of writing numbers uses ten digits ( $0$ to $9$ ), and the value of a digit depends on its place: in $5\,208$ , the digit $5$ counts thousands, the $2$ counts hundreds, the $0$ counts tens (there are none) and the $8$ counts units:

5\,208 = 5 \times 1000 + 2 \times 100 + 0 \times 10 + 8 .

The place-value table of 5\,208. The 0 matters: without it, the 5 and the 2 would slide into the wrong columns and the number would read 528. — The place-value table of $5\,208$ . The $0$ matters: without it, the $5$ and the $2$ would slide into the wrong columns and the number would read $528$ .

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