Essential Maths 7S Homework Answers: Year 7 Practice Guide | Essential Maths 7S 作业答案解析：七年级练习指南

📚 Essential Maths 7S Homework Answers: Year 7 Practice Guide | Essential Maths 7S 作业答案解析：七年级练习指南

This guide gives selected answers and step-by-step explanations for question types found in Essential Maths 7S. It is designed to help Year 7 students check their reasoning, correct common errors, and build confidence before moving to the next topic.

本指南提供 Essential Maths 7S 中常见题型的精选答案和逐步解析，帮助七年级学生检查解题思路、纠正常见错误，并在进入下一个主题前建立信心。

Each section follows the same pattern as the homework book: short worked examples, answers in bold, and a clear method you can reuse. Always revise the method behind an answer, not just the final number.

每节都遵循与作业本相同的模式：简短的示例、加粗答案和可反复使用的清晰方法。始终要复习答案背后的方法，而不只是最后的数字。

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1. How to Use Essential Maths 7S Homework Answers | 如何使用 Essential Maths 7S 作业答案

The answers below are selected examples that mirror the style of Essential Maths 7S. Always attempt each question on your own first, then compare your working with the answer. Check whether your mistake is in the calculation, the method, or the reading of the question.

下面的作业答案是从 Essential Maths 7S 风格中挑选出来的示例。先自己尝试每一道题，再对照答案检查。看看错误是出在计算、方法，还是题意理解。

Use estimation to test whether an answer is sensible. For example, when adding 48 and 29, expect about 80, so an answer of 77 is reasonable. Copying answers without working will not build the fluency needed for tests.

用估算来检查答案是否合理。例如计算 48 + 29 时，结果应在 80 左右，所以答案是 77 就合理。只抄答案而不写过程，无法培养考试所需的熟练度。

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2. Number Facts and Place Value | 数字知识与位值

Place value tells us the value of each digit. In 37,406, the digit 7 is in the thousands column, so its value is 7000.

位值告诉我们每个数字的值。在 37,406 中，数字 7 位于千位，所以它的值是 7000。

Write 6 thousands, 2 hundreds, 4 tens and 9 ones as one number: 6249.

把 6 个千、2 个百、4 个十和 9 个一写成一个数：6249。

Digit	Place value	Value
5	ten thousands	50000
2	thousands	2000
7	hundreds	700
3	tens	30
8	ones	8

Order these numbers from smallest to largest: 3104, 3014, 3140, 3041. The correct order is 3014, 3041, 3104, 3140.

将这些数字从小到大排列：3104、3014、3140、3041。正确顺序是 3014、3041、3104、3140。

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3. Negative Numbers | 负数

Negative numbers appear below zero on the number line. To add a positive number to a negative number, move right: -7 + 12 = 5.

负数在数轴上位于零以下。给负数加上一个正数，向右移动：-7 + 12 = 5。

To subtract a positive number from a negative number, move left: -3 – 8 = -11.

从负数中减去一个正数，向左移动：-3 – 8 = -11。

When multiplying or dividing two negatives, the answer is positive: (-4) × (-6) = 24 and (-20) ÷ (-5) = 4.

两个负数相乘或相除时，结果为正：(-4) × (-6) = 24，(-20) ÷ (-5) = 4。

When the signs are different, the answer is negative: (-6) × 3 = -18.

当符号不同时，结果为负：(-6) × 3 = -18。

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4. Fractions Basics | 分数基础

To simplify a fraction, divide the numerator and denominator by their highest common factor. 18/24 simplifies to 3/4 because both 18 and 24 divide by 6.

化简分数时，分子和分母同时除以它们的最大公因数。18/24 化简为 3/4，因为 18 和 24 都能被 6 整除。

Equivalent fractions multiply or divide both parts by the same number: 3/7 = 12/28 because 3 × 4 = 12 and 7 × 4 = 28.

等价分数是把分子和分母同时乘以或除以同一个数：3/7 = 12/28，因为 3 × 4 = 12，7 × 4 = 28。

To add fractions, use a common denominator: 2/5 + 1/10 = 4/10 + 1/10 = 5/10 = 1/2.

分数加法要使用公分母：2/5 + 1/10 = 4/10 + 1/10 = 5/10 = 1/2。

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5. Decimals and Rounding | 小数与四舍五入

Round 3.476 to 2 decimal places. The second decimal place is 7, and the following digit is 6, so we round up: 3.48.

将 3.476 保留两位小数。第二位小数是

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