(1)(111+999)÷[56×(-)]
(2)200.5×10%+2.005×490+0.2005×5000
(3)3333×3333+9999×8889
(4)+++…+
(5)若3.5×[6.8-(1.6+△÷0.9)÷8.4=0.5,求△的值.
网友回答
解:(1))(111+999)÷[56×(-)]
=1110÷[56×-56×]
=1110÷[24-21]
=1110÷3
=370
(2)200.5×10%+2.005×490+0.2005×5000
=20.05×1+20.05×49+20.05×50
=2005
(3)3333×3333+9999×8889
=1111×9999+9999×8889
=9999×10000
=99990000??
(4)
=(1-+…+-)×
=×
=
(5)由3.5×[6.8-(1.6+△÷0.9)÷8.4=0.5,
可知3.5×[6.8-(1.6+△÷0.9)=0.5×8.4=4.2,
6.8-(1.6+△÷0.9)=4.4÷3.5=1.2,
(1.6+△÷0.9)=6.8-1.2=5.6
△÷0.9=5.6-1.6=4,
△=4×0.9=3.6.
解析分析:(1)先算出(111+999)的和,再用56分别与、相乘,然后把积相减,最后算除法即可;
(2)先把原式写成20.05×1+20.05×49+20.05×50的形式,再利用乘法分配律得到算式20.5×(1+49+50),再计算就简单了;
(3)把3333×3333+9999×8889写成1111×9999+1111×8889的形式,再利用乘法分配律解答即可.
(4)由=(1)×,=()×可知原式=(1+-++…+-)×,解答即可.
(5)用逆推法计算即可解答.
点评:本题考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算律简便计算.