選出由大到小的正確排序： $$\left| -\frac{5}{4} \right|$$ 、 $$\left| -\frac{7}{6} \right|$$ 、 $$\left| -\frac{9}{8} \right|$$ 。

$$\left| -\frac{5}{4} \right|>\left| -\frac{7}{6} \right|>\left| -\frac{9}{8} \right|$$

$$\left| -\frac{7}{6} \right|>\left| -\frac{5}{4} \right|>\left| -\frac{9}{8} \right|$$

$$\left| -\frac{9}{8} \right|>\left| -\frac{7}{6} \right|>\left| -\frac{5}{4} \right|$$

$$\left| -\frac{7}{6} \right|>\left| -\frac{9}{8} \right|>\left| -\frac{5}{4} \right|$$

選出由大到小的正確排序： $$-\frac{5}{4}$$ 、 $$-\frac{7}{6}$$ 、 $$-\frac{9}{8}$$ 。

$$-\frac{9}{8}>-\frac{7}{6}>-\frac{5}{4}$$

$$-\frac{7}{6}>-\frac{9}{8}>-\frac{5}{4}$$

$$-\frac{5}{4}>-\frac{7}{6}>-\frac{9}{8}$$

$$-\frac{9}{8}>-\frac{5}{4}>-\frac{7}{6}$$

選出由大到小的正確排序： $$\left| -\frac{1}{2} \right|$$ 、 $$\left| -\frac{2}{3} \right|$$ 、 $$\left| -\frac{3}{4} \right|$$ 。

$$\left| -\frac{3}{4} \right|>\left| -\frac{2}{3} \right|>\left| -\frac{1}{2} \right|$$

$$\left| -\frac{2}{3} \right|>\left| -\frac{3}{4} \right|>\left| -\frac{1}{2} \right|$$

$$\left| -\frac{1}{2} \right|>\left| -\frac{2}{3} \right|>\left| -\frac{3}{4} \right|$$

$$\left| -\frac{2}{3} \right|>\left| -\frac{1}{2} \right|>\left| -\frac{3}{4} \right|$$

選出由大到小的正確排序： $$-\frac{1}{2}$$ 、 $$-\frac{2}{3}$$ 、 $$-\frac{3}{4}$$ 。

$$-\frac{1}{2}>-\frac{2}{3}>-\frac{3}{4}$$

$$-\frac{2}{3}>-\frac{1}{2}>-\frac{3}{4}$$

$$-\frac{3}{4}>-\frac{2}{3}>-\frac{1}{2}$$

$$-\frac{1}{2}>-\frac{3}{4}>-\frac{2}{3}$$

在下圖的數線上標出 $$-2\frac{1}{3}$$ 。哪一個描述最符合其位置？

落在 -3 與 -2 之間，且更接近 -2

落在 -3 與 -2 之間，且更接近 -3

小華說：「1 3/5 的倒數是 1 5/3。」這句話是否正確？選出最合理的判斷。

錯誤，因為 1 3/5 = $$\frac{8}{5}$$ ，其倒數是 $$\frac{5}{8}$$

正確，因為 1 3/5 的倒數是 1 5/3

正確，因為 1 3/5 = $$\frac{5}{3}$$ ，其倒數是 $$\frac{3}{5}$$

錯誤，因為 1 3/5 的倒數是 $$\frac{8}{5}$$

請觀察方框中「小芸的作法」，判斷她從哪一個步驟開始出錯，最合理的原因是什麼？

步驟一開始出錯，因為跨越除號直接約分，應先把除法改寫成乘以倒數再約分

步驟二開始出錯，因為把 $$\frac{7}{2}$$ 的分子分母對調了

步驟三開始出錯，因為把結果約分成 $$\frac{21}{10}$$

沒有出錯，三個步驟皆正確

分數的四則運算｜等值分數與加減應用

Authored by 新港國中顏琦華新港國中顏琦華

Mathematics

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