【四捨五入、無條件進位及捨去(小數位及有效數字)】Rounding Off, Rounding Up and Rounding Down (Decimal Places and Significant Figures)

SketchMath 數學團隊 SketchMath Maths Team | 更新 Updated 2026-10-20

四捨五入:看下一位數字,5 或以上就進位,4 或以下就捨去。進位永遠取較大的值,捨去永遠取較小的值,不論下一位是甚麼。計算時要保留完整數值,最後一步才進行近似。Round off to a place by looking at the next digit: 5 or more rounds up, 4 or less leaves it. Round up always goes to the larger value and round down to the smaller, whatever the next digit is. Keep full accuracy until the last step.

用 AI 逐步解四捨五入題目 Solve it with AI練習 36 條 DSE 模擬題 Practise 36 DSE-style questions
沿數線拖動 x:四捨五入至整數的結果,每到半數便跳到下一個整數。 Drag x along the number line: its rounded value to the nearest whole number jumps at every half. 自己試試 → Try it yourself →

近似規則 Rounding Rules

小數位Decimal places (dp)由小數點後計起Count digits after the decimal point
有效數字Significant figures (sf)由第一個非零數字計起Start at the first non-zero digit
四捨五入Round off下一位 ≥ 5:進一;否則不變Next digit ≥ 5: increase by 1; otherwise keep
進位/捨去Round up / down用於「至少」「至多」的應用題Used for "at least" / "at most" in word problems
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四捨五入例題詳解 Worked Examples

例題 1 Example 1:有效數字 Significant figures

把 0.004076 四捨五入至 2 位有效數字及 4 位小數。Round 0.004076 to 2 significant figures and to 4 decimal places.

  1. 第一個有效數字是 4(前面的 0 不算):0.0040|76The first significant digit is 4 (after the leading zeros): 0.0040|76
  2. 2 位有效數字:下一位是 7,進位得 0.00412 sf: the next digit is 7, so 0.0041
  3. 4 位小數:同樣是 0.00414 dp: 0.0041 as well

答案: Answer: 0.0041, 0.0041

例題 2 Example 2:應用題中的進位 Round up in a word problem

一輛巴士可載 40 人,327 名學生需要多少輛巴士?A bus holds 40 people. How many buses are needed for 327 students?

  1. 327 ÷ 40 = 8.175
  2. 8 輛不夠,所以要進位。8 buses are not enough, so round up.

答案: Answer: 9 輛9 buses

例題 3 Example 3:末尾的零 Trailing zeros

把 5.996 四捨五入至 2 位小數。Round 5.996 to 2 decimal places.

  1. 第三位小數是 6,9 進位後變成 10 並向前進位:5.996 → 6.00The third decimal digit is 6, so the 9 becomes 10 and carries: 5.996 → 6.00

答案: Answer: 6.00(零要保留)6.00 (keep the zeros)

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💡 應試陷阱與秘訣 Exam Traps & Secrets

⚠️ 中途不要近似 Do not round in the middle後面的步驟要用計數機的完整數值,只在最後答案才近似,否則誤差會累積。Use the full calculator value in later steps and round only the final answer, or errors build up.
⚠️ 保留末尾的零 Keep the zeros6.00 表示 3 位有效數字,6 則不是;題目指定位數時要寫出末尾的零。6.00 shows 3 significant figures, but 6 does not, so write the zeros when the question asks for a number of dp or sf.
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✏️ 自我測試:互動練習 Self-Test: Interactive Practice

溫習方法:點擊以下任何題目,即時在坐標網格載入並核對計算步驟。How to study: click any question to load it on the coordinate grid and check your steps.

(有效數字 Significant figures)把 23 450 四捨五入至 3 位有效數字,把 0.07096 四捨五入至 2 位有效數字。Round 23 450 to 3 significant figures and 0.07096 to 2 significant figures.
(捨去 Round down)把 7.5 m 長的繩剪成每段 0.8 m,最多剪成多少段完整的繩?A rope of 7.5 m is cut into pieces of 0.8 m. How many whole pieces can be cut?
(近似規則 Rounding rule)為何 2.5 四捨五入得 3,而 2.49 得 2?Why does 2.5 round to 3 but 2.49 rounds to 2?
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四捨五入練習題(DSE 模擬題) Exercises: DSE-Style Practice

SketchMath 題庫內的 DSE 風格練習,選擇題及長題目均附解答。 DSE-style practice from the SketchMath question bank, with solutions for every MC and long question.

數值估算 · 中一
15 條選擇題 15 MC · 21 條長題目 21 long questions

常見問題 Frequently Asked Questions

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四捨五入 DSE 練習題 Try a DSE Practice Question