(1)17.3-4.8+5.2(2)9×+×9(3)(1-×)÷(4)1.6×[1÷(2.1-2.09)](5)(6)202-192+182-172+162-152+

发布时间:2020-08-06 07:45:32

(1)17.3-4.8+5.2
(2)9×+×9
(3)(1-×)÷
(4)1.6×[1÷(2.1-2.09)]
(5)
(6)202-192+182-172+162-152+…+62-52+42-32+22-12.

网友回答

解:(1)17.3-4.8+5.2,
=12.5+5.2,
=17.7;

(2)9×+×9,
=9×(+),
=9×1,
=9;

(3)(1-×)÷,
=(1-)÷,
=,
=;

(4)1.6×[1÷(2.1-2.09)],
=1.6×[1÷0.01],
=1.6×100,
=160;

(5),
=×72+×72+×72,
=30+8+27,
=38+27,
=65;

(6)202-192+182-172+162-152+…+62-52+42-32+22-12,
=(20+19)×(20-19)+(18+17)×(18-17)+…+(2+1)×(2-1),
=39×1+35×1+31×1+…+3×1,
=39+35+31+…+3,
=(39+3)×10÷2,
=42×10÷2,
=420÷2,
=210.

解析分析:(1)按照从左到右的顺序计算;
(2)运用乘法分配律简算;
(3)先算小括号里面的乘法,再算小括号里面的减法,最后算括号外的除法;
(4)先算小括号里面的减法,再算中括号里面的除法,,最后算括号外的乘法;
(5)运用乘法分配律简算;
(6)运用平方差公式对算式进行化简,然后再根据高斯求和的原理求解.

点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.
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