選擇適合你的方法計算,并寫出過程.
(1)723-(223+311)-89
(2)(75+25×4)÷25
(3)602×110-110-110
(4)32×32+32×69-32
(5)[1178-12×(84+5)]÷5
(6)2920÷[160÷(21+19)]
(7)125×(25×48)
(8)3×999+3+99×5+5+7+7×9.
解:(1)723-(223+311)-89,
=(723-223)-(311+89),
=500-400,
=100;
(2)(75+25×4)÷25,
=(75+100)÷25,
=175÷25,
=7;
(3)602×110-110-110,
=110×(602-1-1),
=110×600,
=66000;
(4)32×32+32×69-32,
=32×(32+69-1),
=32×100,
=3200;
(5)[1178-12×(84+5)]÷5,
=[1178-12×89]÷5,
=[1178-1068]÷5,
=110÷5,
=22;
(6)2920÷[160÷(21+19)],
=2920÷[160÷40],
=2920÷4,
=730;
(7)125×(25×48),
=125×25×(8×6),
=(125×8)×(25×6),
=1000×150,
=150000;
(8)3×999+3+99×5+5+7+7×9,
=3×(999+1)+5×(99+1)+7×(1+9),
=3×1000+5×100+7×10,
=3000+500+70,
=3570.
分析:(1)根據(jù)加法結合律以及減法的性質簡算;
(2)先算小括號里面的乘法,再算小括號里面的加法,最后算括號外的除法;
(3)(4)(8)根據(jù)乘法分配律簡算;
(5)先算小括號里面的加法,再算中括號里面的乘法,然后算中括號里面的減法,最后算括號外的除法;
(6)先算小括號里面的加法,再算中括號里面的除法,最后算括號外的除法;
(7)先把48分解成8×6,再運用乘法結合律簡算.
點評:本題考查了四則混合運算,注意運算順序和運算法則,靈活運用所學的運算定律進行簡便計算.