考點(diǎn):分?jǐn)?shù)的簡(jiǎn)便計(jì)算,運(yùn)算定律與簡(jiǎn)便運(yùn)算,分?jǐn)?shù)的四則混合運(yùn)算
專題:運(yùn)算定律及簡(jiǎn)算
分析:(1)運(yùn)用加法交換律和結(jié)合律簡(jiǎn)算;
(2)先算小括號(hào)里面的減法,再算括號(hào)外的減法;
(3)先根據(jù)積不變規(guī)律,把999×26變成333×78,再運(yùn)用乘法分配律簡(jiǎn)算;
(4)根據(jù)減法的性質(zhì)簡(jiǎn)算;
(5)運(yùn)用乘法分配律簡(jiǎn)算;
(6)先把0.86變成8.6×0.1,再運(yùn)用乘法分配律簡(jiǎn)算.
解答:
解:(1)
+
+
+
=(
+
)+(
+
)
=1+1
=2;
(2)
-(
-
)
=
-
=
;
(3)999×26+333×22
=(999÷3)×(26×3)+333×22
=333×78+333×22
=333×(78+22)
=333×100
=33300;
(4)23.75-8.64-3.46
=23.75-(8.64+3.46)
=23.75-12.1
=11.65;
(5)125×(8+0.8+0.08)
=125×8+125×0.8+125×0.08
=1000+100+10
=1110;
(6)9.9×8.6+0.86
=9.9×8.6+8.6×0.1
=(9.9+0.1)×8.6
=10×8.6
=86.
點(diǎn)評(píng):本題考查了四則混合運(yùn)算,注意運(yùn)算順序和運(yùn)算法則,靈活運(yùn)用所學(xué)的運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算.