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36.33-105.11+22.15
=1188-1155+330
=33+330
=363
\(36\cdot33-105\cdot11+22\cdot15\)
\(=11\cdot\left(36\cdot3-105+2\cdot15\right)\)
\(=11\cdot\left(108-105+30\right)\)
\(=11\cdot33\)
\(=33\cdot\left(10+1\right)\)
\(=330+33\)
\(=363\)
a ) 42.13 + 22.15 - 42.3 - 22.5
= 42 . 13 - 42.3 + ( 22.15 - 22. 5 )
= 42 . ( 13 - 3 ) + 22. ( 15 - 5 )
= 42. 10 + 22 . 10
= 10. ( 42 + 22 )
= 10 . 64
= 6400
b ) 24 . 42 - 35. 24 - 24.7
= 24. ( 42 - 35 - 7 )
= 24 . 0
= 0
`!`
\(a,\left[316-\left(5^2\cdot4+16\right)\right]:\left(-2\right)^3+10\\ =\left[316-\left(25\cdot4+16\right)\right]:\left(-8\right)+10\\ =\left[316-\left(100+16\right)\right]:\left(-8\right)+10\\ =\left(316-116\right):\left(-8\right)+10\\ =200:\left(-8\right)+10\\ =-25+10\\ =-15\)
\(b,-73\cdot21+73\cdot\left(-62\right)-17\cdot73\\ =73\cdot\left(-21\right)+73\cdot\left(-62\right)-17\cdot73\\ =\left[\left(-21\right)+\left(-62\right)-17\right]\cdot73\\ =-100\cdot73\\ =-7300\)
3.52-27:32 +52.4-18:32
=3 . 25 - 27 : 9 + 25. 4 - 18 : 9
=75 - 3 + 100 - 2
=(75 - 3) + (100 - 2)
=72 + 98
=170
\(\dfrac{12}{6.7}+\dfrac{12}{7.22}+\dfrac{12}{22.15}+\dfrac{12}{15.38}+...+\dfrac{12}{97.202}\)
\(=12.\left(\dfrac{1}{6.7}+\dfrac{1}{7.22}+\dfrac{1}{22.15}+\dfrac{1}{15.38}...+\dfrac{1}{97.202}\right)\)
\(=12.\left(\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{22}+\dfrac{1}{22}-\dfrac{1}{15}+...+\dfrac{1}{97}-\dfrac{1}{202}\right)\)
\(=12.\left(\dfrac{1}{6}-\dfrac{1}{202}\right)\)
\(=\dfrac{196}{101}\)
692 + 152 - 92
= (692 - 92) + 152
= 600 + 152
752
Tính nhanh 692+152−92
692+152−92=(692−92)+152=600+152=752 ( Đúng )
\(692+152-92=692-92-152=600-152=752\)( Sai )
Bổ sung đề : Tính
\(\left(-152\right)-108.\left(-152\right)+7.\left(-152\right)\)
\(=\left(-152\right).\left(1-108+7\right)\)
\(=\left(-152\right).\left(-100\right)=15200\)
(-152) - 108. (-152) + 7. (-152)
= (-152) . (1 - 108 + 7)
= (-152) . (-100)
= 15200.
Chúc bạn học tốt !!!
\(D=12\cdot\left(\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{22}+...+\frac{1}{97}-\frac{1}{202}\right)\)
\(D=12\cdot\left(\frac{1}{6}-\frac{1}{202}\right)\)
\(D=12\cdot\frac{49}{303}\)
\(D=\frac{588}{303}\)