用递等式计算下列各题,能简算的要简算.
①37×40+1035÷23????????????????
②86.5×2.4÷0.3-690
③2.8+[2.4÷(90-60)]
④46.5×43.5+43.5×27.5-25×43.5
⑤×+×????????????? ??
⑥0.4×7+×3-0.4×3.
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解:
①37×40+1035÷23,
=1480+45,
=1525;
②86.5×2.4÷0.3-690,
=207.6÷0.3-690,
=692-690,
=2;
③2.8+[2.4÷(90-60)],
=2.8+[2.4÷30],
=2.8+0.08,
=2.88;
④46.5×43.5+43.5×27.5-25×43.5,
=(46.5+27.5-25)×43.5,
=49×43.5,
=2131.5;
⑤×+×,
=+,
=;?????????????
⑥0.4×7+×3-0.4×3,
=0.4×7+0.4×3-0.4×3,
=0.4×(7+3-3),
=0.4×7,
=2.8.
解析分析:①②③⑤按照四则混合运算的运算顺序进行计算,④和⑥可以根据乘法分配律进行简算.
点评:根据四则混合运算的运算顺序进行计算,能简算的要进行简便计算.