请运用简便方法计算.(1)5.7×1.4+1.4×4.3 (2)9.05-3.86-3.14 (3)6.84×10.1 (4)87×2.5+8
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解决时间 2021-11-28 22:22
- 提问者网友:留有余香
- 2021-11-28 11:29
请运用简便方法计算.(1)5.7×1.4+1.4×4.3 (2)9.05-3.86-3.14 (3)6.84×10.1 (4)87×2.5+8
最佳答案
- 五星知识达人网友:痴妹与他
- 2021-11-28 12:52
(1)5.7×1.4+1.4×4.3,
=(5.7+4.3)×1.4,
=10×1.4,
=14;
(2)9.05-3.86-3.14,
=9.05-(3.86+3.14),
=9.05-7,
=2.05;
(3)6.84×10.1,
=6.84×(10+0.1),
=6.84×10+6.84×0.1,
=68.4+0.684,
=69.084;
(4)87×2.5+8.7×75,
=87×2.5+87×7.5,
=87×(2.5+7.5),
=87×10,
=870;
(5)1+2+3+4+5+6+…+97+98+99,
=(1+99)+(2+98)+(3+97)+…+(49+51)+50,
=100+100+…+100+50,
=49×100+50,
=4900+50,
=4950;
(6)0.7777×0.7+0.1111×5.1,
=0.1111×4.9+0.1111×5.1,
=0.1111×(4.9+5.1),
=0.1111×10,
=1.111.
=(5.7+4.3)×1.4,
=10×1.4,
=14;
(2)9.05-3.86-3.14,
=9.05-(3.86+3.14),
=9.05-7,
=2.05;
(3)6.84×10.1,
=6.84×(10+0.1),
=6.84×10+6.84×0.1,
=68.4+0.684,
=69.084;
(4)87×2.5+8.7×75,
=87×2.5+87×7.5,
=87×(2.5+7.5),
=87×10,
=870;
(5)1+2+3+4+5+6+…+97+98+99,
=(1+99)+(2+98)+(3+97)+…+(49+51)+50,
=100+100+…+100+50,
=49×100+50,
=4900+50,
=4950;
(6)0.7777×0.7+0.1111×5.1,
=0.1111×4.9+0.1111×5.1,
=0.1111×(4.9+5.1),
=0.1111×10,
=1.111.
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