Cambridge Primary Mathematics Workbook 4, 2nd Edition: Key Concepts | 剑桥小学数学练习册4（第二版）知识点精讲

📚 Cambridge Primary Mathematics Workbook 4, 2nd Edition: Key Concepts | 剑桥小学数学练习册4（第二版）知识点精讲

The Cambridge Primary Mathematics Workbook 4, 2nd Edition, is designed to help learners aged 8–10 build a solid understanding of key mathematical concepts. This workbook covers number operations, fractions, measurement, geometry, and statistics through carefully structured exercises. In this article, we distil the essential knowledge points and common problem types found in the workbook, offering clear explanations and effective strategies to support learners and parents alike.

《剑桥小学数学练习册4（第二版）》旨在帮助8至10岁的学生建立对核心数学概念的扎实理解。该练习册通过精心设计的练习，涵盖了数的运算、分数、测量、几何和统计等内容。本文提炼了练习册中的必备知识点和常见题型，提供清晰的解释和有效的策略，以帮助学生和家长。

1. Place Value up to 10,000 | 万以内数的位值

In Workbook 4, students extend their knowledge of place value to four-digit numbers, up to 10,000. They learn that the value of a digit depends on its position: thousands (Th), hundreds (H), tens (T), and ones (O). For example, the number 7,526 means 7 thousands + 5 hundreds + 2 tens + 6 ones, or (7 × 1000) + (5 × 100) + (2 × 10) + 6.

在练习册4中，学生将位值知识扩展到四位数，最高到10,000。他们学习到数字的值取决于其位置：千位、百位、十位和个位。例如，数字7,526表示7个千加5个百加2个十加6个一，即(7 × 1000) + (5 × 100) + (2 × 10) + 6。

Ordering and comparing numbers becomes more systematic. Learners compare the thousands digits first; if they are equal, they move to the hundreds, then tens, and finally ones. Using inequality signs (<, >) and the equals sign (=) correctly is practised throughout the workbook.

排序和比较数字变得更加系统化。学生首先比较千位数字；如果相等，再看百位，接着十位，最后个位。整本练习册都在练习正确使用不等号（<、>）和等号（=）。

Rounding is another core skill: to round a number to the nearest 10, look at the ones digit. If it is 5 or more, round up; otherwise round down. For the nearest 100, look at the tens digit. This is essential for estimation and checking answers.

四舍五入是另一项核心技能：要将一个数四舍五入到最近的10，看个位数字。如果是5或更大，则向上舍入；否则向下舍入。要四舍五入到最近的100，则看十位数字。这对于估算和检查答案至关重要。

2. Addition and Subtraction with Four-Digit Numbers | 四位数加减法

Adding and subtracting four-digit numbers using column methods is a major focus. Children must line up digits by place value and handle ‘carrying’ in addition (e.g. 2,568 + 1,749) and ‘borrowing’ in subtraction (e.g. 4,200 – 1,367).

使用列竖式方法进行四位数的加减法是重点之一。孩子们必须按位值对齐数字，并处理加法中的“进位”（如2,568 + 1,749）和减法中的“借位”（如4,200 – 1,367）。

Mental strategies are also encouraged. Pupils practise adding and subtracting multiples of 10, 100, and 1000 mentally, and they learn to use inverse operations to check their work: if 3,456 + 2,544 = 6,000, then 6,000 – 2,544 should equal 3,456.

同时也鼓励心算策略。学生练习心算10、100和1000的倍数加减法，并学习使用逆运算来检查作业：如果3,456 + 2,544 = 6,000，那么6,000 – 2,544应等于3,456。

Word problems require careful reading to decide whether to add or subtract. Clue words like ‘total’, ‘more than’, ‘less than’, and ‘difference’ guide the decision, but the workbook emphasises understanding the situation rather than relying just on key words.

文字题需要仔细阅读，以决定该用加法还是减法。像“总共”、“比……多”、“比……少”和“差”这样的关键词有助于判断，但练习册强调要理解具体情况，而不是仅仅依赖关键词。

3. Multiplication

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