1. -3 的倒数是 (
A.$-\dfrac{1}{3}$
B.$\dfrac{1}{3}$
C.-3
D.3
A
)A.$-\dfrac{1}{3}$
B.$\dfrac{1}{3}$
C.-3
D.3
答案:A
2.(2025·高邮二模)若$(-1)×□=2$,则“□”内应填的有理数是 (
A.$-2$
B.$-\dfrac{1}{2}$
C.$\dfrac{1}{2}$
D.$2$
A
)A.$-2$
B.$-\dfrac{1}{2}$
C.$\dfrac{1}{2}$
D.$2$
答案:A
3.用正负数表示气温的变化量,上升为正,下降为负.某登山队攀登一座山峰,每登高1 km气温的变化量为-6 ℃,则攀登2 km后,气温的变化量为 (
A.$12\ \mathrm{° C}$
B.$-12\ \mathrm{° C}$
C.$6\ \mathrm{° C}$
D.$-6\ \mathrm{° C}$
B
)A.$12\ \mathrm{° C}$
B.$-12\ \mathrm{° C}$
C.$6\ \mathrm{° C}$
D.$-6\ \mathrm{° C}$
答案:B
4. 计算:(1)$3×(-\dfrac{2}{3})=$
(3)$(-\dfrac{1}{10})×(-5)=$
-2
; (2)$(-3.14)×0=$0
;(3)$(-\dfrac{1}{10})×(-5)=$
$\dfrac{1}{2}$
; (4)$-\dfrac{1}{2}×(-\dfrac{2}{7})=$$\dfrac{1}{7}$
.答案:(1)$-2$ (2)$0$ (3)$\dfrac{1}{2}$ (4)$\dfrac{1}{7}$
5. $-\dfrac{7}{3}$的倒数是
$-\dfrac{3}{7}$
,$-0.25$的倒数是$-4$
,$-2\dfrac{1}{2}$的相反数的倒数是$\dfrac{2}{5}$
,$0.6$的倒数的相反数是$-\dfrac{5}{3}$
。答案:$-\dfrac{3}{7}$ $-4$ $\dfrac{2}{5}$ $-\dfrac{5}{3}$
6.计算:
(1)$(-6)×(+8)$;
(2)$(-0.36)×(-\dfrac{2}{9})$;
(3)$(+4)×(-2.5)$;
(4)$(-0.125)×(-8)$;
(5)$0×(-13.52)$;
(6)$\dfrac{1}{4}×(-\dfrac{8}{9})$。
(1)$(-6)×(+8)$;
(2)$(-0.36)×(-\dfrac{2}{9})$;
(3)$(+4)×(-2.5)$;
(4)$(-0.125)×(-8)$;
(5)$0×(-13.52)$;
(6)$\dfrac{1}{4}×(-\dfrac{8}{9})$。
答案:(1)$-48$ (2)$0.08$ (3)$-10$ (4)$1$ (5)$0$ (6)$-\dfrac{2}{9}$
7. 计算:
(1) $\left| -2\dfrac{1}{3} \right| × ( -\dfrac{3}{7} )$;
(2) $(-0.3) × ( -1\dfrac{3}{7} )$;
(3) $( -2\dfrac{2}{3} ) × ( -2\dfrac{1}{4} )$;
(4) $( -288\dfrac{2}{5} ) × 0$;
(5) $( -2\dfrac{7}{16} ) × (-8)$;
(6) $( +20\dfrac{1}{4} ) × ( -20\dfrac{4}{9} )$。
(1) $\left| -2\dfrac{1}{3} \right| × ( -\dfrac{3}{7} )$;
(2) $(-0.3) × ( -1\dfrac{3}{7} )$;
(3) $( -2\dfrac{2}{3} ) × ( -2\dfrac{1}{4} )$;
(4) $( -288\dfrac{2}{5} ) × 0$;
(5) $( -2\dfrac{7}{16} ) × (-8)$;
(6) $( +20\dfrac{1}{4} ) × ( -20\dfrac{4}{9} )$。
答案:(1)$-1$ (2)$\dfrac{3}{7}$ (3)$6$ (4)$0$ (5)$19\dfrac{1}{2}$ (6)$-414$