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a: \(\left(2345+45\right)-2345\)
\(=2345+45-2345\)
\(=45+\left(2345-2345\right)\)
=45+0
=45
b: \(\left(-2010\right)-\left(119-2010\right)\)
\(=-2010-119+2010\)
\(=\left(-2010+2010\right)-119\)
=0-119
=-119
c: \(\left(18+29\right)+\left(158-18-29\right)\)
\(=18+29+158-18-29\)
\(=158+\left(18-18\right)+\left(29-29\right)\)
=158+0+0
=158
d: \(126+\left(-20\right)+2004+\left(-106\right)\)
\(=126-20+2004-106\)
\(=\left(126-20-106\right)+2004\)
=0+2004
=2004
e: \(\left(-199\right)+\left(-200\right)+\left(201\right)\)
\(=-199-200+201\)
\(=-199+\left(201-200\right)\)
=-199+1
=-198
f: \(99+\left(-100\right)+101\)
\(=\left(99+101\right)-100\)
=200-100
=100
g: \(217+\left[43+\left(-217\right)+\left(-23\right)\right]\)
\(=217+43-217-23\)
\(=\left(217-217\right)+\left(43-23\right)\)
=0+20
=20
a) (2345-45)+2345
= 2300 + 2345
= 4645
b) (-2010)-(119-2010)
= -2010-119+2010
= (2010-2010)-199
= -199
c) (18+29)+(158-18-29)
= 18+29+158-18-29
= (18-18)+(29-29)+158
= 158
d) 126+(-20)+2004+(-106)
= 126 -20 + 2004 - 106
= (126-20-106) +2004
= 2004
e) (-199)+(-200)+(-201)
= -(199+200+201)
= -600
g) 217+ [43+(-217)+(-23)]
= 217+ 43 - 217 + 23
= (217-217)+(43-23)
= 20
-Học tốt-
b: \(\left(-99\right)+\left(-23\right)+\left(-201\right)+\left(-17\right)\)
\(=\left(-99-201\right)+\left(-23-17\right)\)
\(=-300-40=-340\)
c: \(\left(-105\right)-79-\left(-105\right)\)
\(=-105-79+105\)
\(=\left(105-105\right)-79\)
=0-79
=-79
d: \(\left(-230\right)-\left(-156\right)-\left(-230\right)\)
\(=-230+156+230\)
\(=\left(-230+230\right)+156\)
=0+156
=156
e: \(\left(-2021\right)+\left(-87\right)+2021+12\)
\(=\left(-2021+2021\right)+\left(-87+12\right)\)
=0+(-75)
=-75
a)\(\frac{7}{13}.\frac{7}{15}-\frac{5}{12}.\frac{21}{39}+\frac{49}{21}.\frac{8}{15}\)
=\(\frac{7}{13}.\frac{7}{15}-\frac{5}{12}.\frac{7}{13}+\frac{7}{13}.\frac{8}{15}\)
=\(\frac{7}{13}.\left(\frac{7}{15}-\frac{5}{12}-\frac{8}{15}\right)\)
=\(\frac{7}{13}.\frac{7}{12}\)
=\(\frac{49}{156}\)
b)\(\left(\frac{12}{199}+\frac{23}{200}-\frac{34}{201}\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
=\(a.\left(\frac{3}{6}-\frac{2}{6}-\frac{1}{6}\right)\)
=a . 0
=0
Bài 2
a)Có
\(3^{200}=3^{2.100}=\left(3^2\right)^{100}=9^{100}\)
\(2^{300}=2^{3.100}=\left(2^3\right)^{100}=8^{100}\)
Vì 8<9 =>\(8^{100}< 9^{100}\) =>\(3^{200}>2^{300}\)
b: \(\left(-44\right)+25+\left(-15\right)+44\)
\(=\left(-44+44\right)+\left(25-15\right)\)
=0+10
=10
c: \(201+\left(-197\right)+\left(-201\right)\)
\(=\left(201-201\right)+\left(-197\right)\)
=0-197
=-197
d: \(191+\left(-200\right)+91\)
\(=191+91-200\)
\(=91-9\)
=82
d: \(\left(-158\right)+\left[\left(-23\right)+158\right]\)
\(=-158-23+158\)
\(=\left(-158+158\right)-23\)
=0-23
=-23
e: \(\left(-2021\right)-\left[\left(-2021\right)+25\right]\)
\(=-2021+2021-25\)
=0-25
=-25