📚 Essential Maths 8C Homework Answers: Question Type Analysis | KS3数学:Essential Maths 8C 作业答案题型解析
Welcome to our analysis of common question types found in Essential Maths 8C homework tasks. This guide breaks down the key topics and shows you how to approach typical problems, helping you check your answers with confidence.
欢迎来到我们对 Essential Maths 8C 家庭作业中常见题型的解析。本指南分解了关键主题,并展示了如何处理典型问题,帮助你自信地核对答案。
1. Place Value and Calculation Methods | 位值与计算方法
Homework exercises in 8C often test your ability to multiply and divide by 10, 100, and 1000, as well as long multiplication with decimals and BIDMAS.
8C 的家庭作业常考查你乘以或除以10、100、1000的能力,以及带小数的长乘法和 BIDMAS。
A typical question: Calculate 0.78 × 2000. Rewrite 2000 as 2 × 1000, then 0.78 × 2 = 1.56, and 1.56 × 1000 = 1560.
典型题目:计算 0.78 × 2000。将 2000 写成 2 × 1000,那么 0.78 × 2 = 1.56,再 1.56 × 1000 = 1560。
For division by a decimal, e.g. 45 ÷ 0.5, remember dividing by 0.5 is the same as multiplying by 2, so 45 ÷ 0.5 = 90.
除以小数,例如 45 ÷ 0.5,记住除以 0.5 相当于乘以 2,因此 45 ÷ 0.5 = 90。
Always apply BIDMAS: Brackets, Indices, Division/Multiplication, Addition/Subtraction. 2 + 3 × 4 = 2 + 12 = 14, not 20.
务必应用 BIDMAS:括号、指数、乘除、加减。2 + 3 × 4 = 2 + 12 = 14,而不是 20。
0.78 × 2000 = 1560
2. Fractions, Decimals, and Percentages | 分数、小数和百分数
Converting between forms is essential: know key equivalences like 1/4 = 0.25 = 25%, and 3/5 = 0.6 = 60%.
掌握形式转换至关重要:记住关键等价关系,如 1/4 = 0.25 = 25%,以及 3/5 = 0.6 = 60%。
To order 3/8, 0.4, and 35%, convert all to decimals: 3/8 = 0.375, 35% = 0.35, so the correct ascending order is 35%, 3/8, 0.4.
对 3/8、0.4 和 35% 排序,全部转换为小数:3/8 = 0.375,35% = 0.35,因此正确的升序为 35%、3/8、0.4。
For a percentage increase: find 12% of 250 by multiplying 0.12 × 250 = 30, then add to get
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