计算下列各题.(能简算的要简算)
(1)7.8×+2.2×20%??????????
(2)0.5×[5÷﹙-﹚]
(3)(198+32×72)-2472÷24???
(4)4×[2.6+-(0.65+1)]÷2.
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解:(1)7.8×+2.2×20%,
=7.8×0.2+2.2×0.2,
=(7.8+2.2)×0.2,
=10×0.2,
=2;
(2)0.5×[5÷﹙-﹚],
=0.5×[÷],
=0.5×[×],
=0.5×,
=3.2;
(3)(198+32×72)-2472÷24,
=(198+2304)-103,
=[(200-2)+(2300+4)]-103,
=[200+2300+(4-2)]-103,
=2500+2-(100+3),
=2500-100-(3-2),
=2400-1,
=-2399;
(4)4×[2.6+-(0.65+1)]÷2,
=4×[2.6+-0.65-1]÷2,
=4×[2.6-0.65-(1-)]×,
=×[1.95-1]×,
=×0.95×,
=1.52.
解析分析:(1)把分数和百分数化成小数,运用乘法分配律的逆运算简算;(2)先算下括号内的,再算中括号内的,最后算括号外的;(3)先算括号内的乘法和括号外的2472÷24,得=(198+2304)-103,把198看作200-2,把2304看作2300+4,把103看作100+3,运用加法交换律与结合律简算;(4)中括号内先去小括号,运用加法交换律与结合律简算,得×0.95×,因为0.95能与5约分,不用化成分数,直接约分即可.
点评:在脱式计算中,特别注意运算顺序和运算法则,对分数、小数、百分数的互化要细心,根据题目情况,灵活处理.注意运用所学定律,进行简算.