tính nhanh
a; -2001 + (1999+2001)
b; (43-863) - (137-57)
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a) \(\left(-48\right)+10+\left(-22\right)+\left(-10\right)\)
\(=\left[\left(-48\right)+\left(-22\right)\right]+\left(-10+10\right)\)
\(=-70+0=-70\)
\(a.75^2-50.75+25^2\\ =75^2-2.25.75+25^2\\ =\left(75-25\right)^2=50^2=2500\)
\(b.103.97\\ =\left(100+3\right)\left(100-3\right)\\ =100^2-3^2\\ =9991\)
\(a,75^2-50.75+25^2\\ =75^2-2.75.25+25^2\\ =\left(75+25\right)^2=100^2=10000\\ b,103.97\\ =\left(100+3\right).\left(100-3\right)\\ =100^2-3^2=10000-9=9991\)
4996 + 2314 + 1003
= ( 4996 + 2314 ) + 1003
= 7310 + 1003
= 8313
a. Ta có: \(17^2-14.17+49=17^2-2.7.17+7^2=\left(17-7\right)^2=10^2=100\)
b. \(2021^2-2020^2=\left(2021-2020\right)\left(2021+2020\right)=4041\)
a) \(52^2\)
\(=\left(50+2\right)^2\)
\(=50^2+2\cdot2\cdot50+2^2\)
\(=2500+200+4\)
\(=2704\)
b) \(98^2\)
\(=\left(100-2\right)^2\)
\(=100^2-2\cdot100\cdot2+2^2\)
\(=10000-400+4\)
\(=9604\)
`a, 52^2 = (50+2)^2 = 2500 + 200 + 4 = 2704`
`b, 98^2 = (100-2)^2 = 100^2 - 2 . 100 . 2 + 4 = 10000 - 400 + 4`
`= 9604`
\(a,9\times435\times4+12\times565\times3\)
\(=36\times435+36\times565\)
\(=36\times\left(435+565\right)\)
\(=36\times1000\)
\(=36000\)
\(b,4\times1368\times21-7\times368\times12\)
\(=84\times1368-84\times368\)
\(=84\times\left(1368-368\right)\)
\(=84\times1000\)
\(=84000\)
TL
a)9×435×4+12×565×3
=36×435+36×565=36×435+36×565
=36×(435+565)=36×(435+565)
=36×1000=36×1000
=36000=36000
�,4×1368×21−7×368×12b)4×1368×21−7×368×12
=84×1368−84×368=84×1368−84×368
=84×(1368−368)=84×(1368−368)
=84×1000=84×1000
=84000=84000
HT
\(101^2=\left(100+1\right)^2=10000+200+1=10201\\ 9999^2=\left(10000-1\right)^2=100000000-20000+1=99980001\\ 47\cdot53=\left(50-3\right)\left(50+3\right)=2500-9=2491\\ 991\cdot1009=\left(1000-9\right)\left(1000+9\right)=1000000-81=999919\)
a: \(101^2=10201\)
b: \(9999^2=99980001\)
c: \(47\cdot53=2491\)
d: \(991\cdot1009=999919\)
a; -2001+(1999+2001)=-2001+1999+2001=1999
b;(43-863)-(137-57)=43-863-137+57=(43+57)-(863+137)=100-1000=-900
hok tốt
Bài làm
a) -2001 + ( 1999 + 2001 ) b) ( 43 - 863 ) - ( 137 - 57 )
= -2001 + 1999 + 2001 = -820 - 80
= [( -2001 + 2001 )] + 1999 = -820 + ( -80 )
= 0 + 1999 = -900
= 1999
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