2026年同步导学与优化训练七年级数学上册人教版第9页答案
6.比较$-\dfrac{17}{2025}$和$-\dfrac{34}{4071}$的大小.

答案

6. 解:$\left\lvert -\dfrac{17}{2025}\right\rvert=\dfrac{17}{2025},\left\lvert -\dfrac{34}{4071}\right\rvert=\dfrac{34}{4071}$.
因为$\dfrac{17}{2025}÷\dfrac{34}{4071}=\dfrac{17}{2025}×\dfrac{4071}{34}=\dfrac{1357}{1350}>1$,所以$\dfrac{17}{2025}>\dfrac{34}{4071}$.
所以$-\dfrac{17}{2025}<-\dfrac{34}{4071}$.
7.比较$-\frac{6}{23}, -\frac{4}{17}, -\frac{3}{11}, -\frac{12}{47}$的大小,用“<”把它们连接起来。

答案

7. 解:因为$-\dfrac{6}{23}=-\dfrac{12}{46},-\dfrac{4}{17}=-\dfrac{12}{51},-\dfrac{3}{11}=-\dfrac{12}{44},-\dfrac{12}{44}<-\dfrac{12}{46}<-\dfrac{12}{47}<-\dfrac{12}{51}$,
所以$-\dfrac{3}{11}<-\dfrac{6}{23}<-\dfrac{12}{47}<-\dfrac{4}{17}$.