考點:分數(shù)的四則混合運算,小數(shù)四則混合運算
專題:運算順序及法則
分析:(1)根據(jù)減法的性質(zhì)和加法交換律和結(jié)合律進行簡算;
(2)先算小括號里面的除法,再算加法,再算減法,最后算括號外面的除法;
(3)根據(jù)乘法分配律進行簡算;
(4)先算減法,再算除法,最后算乘法;
(5)先算小括號里面的乘法,再算加法,再算減法,最后算除法;
(6)根據(jù)乘法分配律進行簡算.
解答:
解:(1)17.09-3.63-6.37+0.91
=(17.09+0.91)-(3.63+6.37)
=18-10
=8;
(2)10÷[
-(
÷
+
)]
=10÷[
-(2+
)]
=10÷[
-2
]
=10÷
=37
;
(3)198÷
+202×
=198×
+202×
=(198+202)×
=400×
=300;
(4)
×[1÷(
-
)]
=
×[1÷
]
=
×
=
;
(5)[15
-(1.75×
+1
×
)]÷137.5%
=[15
-(1.25+0.5)]÷137.5%
=[15
-1.75]÷137.5%
=13.75÷137.5%
=10;
(6)41
×
+51
×
+61
×
=(40+1
)×
+(50+1
)×
+(60+1
)×
=(40×
+1
×
)+(50×
+1
×
)+(60×
+1
×
)
=(30+1)+(40+1)+(50+1)
=31+41+51
=72+51
=123.
點評:考查了運算定律與簡便運算,四則混合運算.注意運算順序和運算法則,靈活運用所學(xué)的運算定律簡便計算.