📚 Year 7 Essential Maths 7 Core Answers: Worked Solutions for Key Topics | Year 7 数学 Essential Maths 7 Core 核心答案解析
This revision guide gives clear, model answers for the core question types in Year 7 Essential Maths 7 Core. Use it to check your method, not just your final answer, because marks are awarded for working.
本复习指南为 Year 7 Essential Maths 7 Core 的核心题型提供清晰、规范的答案示范。请用它来检查解题方法，而不只是核对最终答案，因为评分时会看重解题过程。
1. Place Value and Rounding | 位值与四舍五入
Write the value of the digit 7 in 37 452. The digit 7 is in the thousands column, so its value is 7 000.
写出 37 452 中数字 7 的值。数字 7 位于千位，因此它的值是 7 000。
In 5 308, the value of the digit 5 is 5 000 because it is in the thousands column. In 4 623, the digit 6 has a value of 600 because it is in the hundreds column.
在 5 308 中，数字 5 的值是 5 000，因为它位于千位。在 4 623 中，数字 6 的值是 600，因为它位于百位。
Round 2 648 to the nearest 10, 100 and 1 000. To the nearest 10 the answer is 2 650, to the nearest 100 it is 2 600, and to the nearest 1 000 it is 3 000.
将 2 648 四舍五入到最接近的 10、100 和 1 000。到最近的 10 是 2 650，到最近的 100 是 2 600，到最近的 1 000 是 3 000。
Order 3 142, 2 986 and 3 099 from smallest to largest. The correct order is 2 986, 3 099, 3 142.
将 3 142、2 986 和 3 099 从小到大排列。正确顺序是 2 986、3 099、3 142。
2. Addition and Subtraction of Integers | 整数加减法
Calculate 5 426 + 3 879. Add the ones: 6 + 9 = 15, carry the 1. Continue with tens, hundreds and thousands columns to get 9 305.
计算 5 426 + 3 879。个位相加：6 + 9 = 15，进 1。继续计算十位、百位和千位，得到 9 305。
Calculate 7 003 – 2 648. You need to borrow from the thousands column because the hundreds and tens columns have zeros. The answer is 4 355.
计算 7 003 – 2 648。由于百位和十位是 0，需要从千位借位。答案是 4 355。
A library has 1 250 fiction books and 875 non-fiction books. The total is 1 250 + 875 = 2 125 books. The difference between the two types is 1 250 – 875 = 375 books.
一个图书馆有 1 250 本
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