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问题: 简单算题

请用简便方法计算下面各题
(0.28+0.28+0.28+0.28)*16.7=
1÷3+2÷3+4÷3+5÷3=
1+2+3......+99+1007=
谢谢大家

解答:

(0.28+0.28+0.28+0.28)*16.7
=4*0.28*16.7
=4*(0.25+0.03)*16.7
=(1+0.12)*16.7
=16.7+0.12*16.7
=16.7+(0.1*16.7+0.02*16.7)
=16.7+1.67+0.334
=18.704

1÷3+2÷3+4÷3+5÷3
= (1÷3+5÷3)+(2÷3+4÷3)
=2+2
=4

1+2+3......+99+1007 (高斯求和)
=[99*(1+99)]/2+1007
=4950+1007
=5957