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a: =(-23+23)+230=230
b: =54(-124+24)=-5400
c: =-927+930=3
d: =(-351+51)+(-74-126)-149=-300-200-149=-649
e: \(=\dfrac{3^3\cdot\left(2^3+2^2+1\right)}{13}=3^3=27\)
\(a,=\left[\left(-23\right)+23\right]+230=0+230=230\\ b,=\left(-124\right).54+24.54\\ =54.\left[\left(-124\right)+24\right]=54.\left(-100\right)=-5400\)
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
a) − 105 + − 25 + ( − 105 ) + 50
= 105 + 25 + ( - 105) + 50
= [105 + ( -105)] + ( 25 + 50 )
= 0 + 75 = 75
b) 465 + − 38 + − 465 − 12 − − 42
= 465 + ( - 38) + ( -465) – 12 – 42
= [ 465 + (- 465) ] – ( 12 + 42 )
= 0 – 54 = 0 + ( -54 ) = -54
c) 65. − 19 + − 19 .24 + − 19 .11
= ( - 19) . ( 65 + 24 + 11 )
= ( -19) . 100 = -1900
d) − 3 2 + 2 3 − − 5 2 + 4 3
= 9 + 8 – 25 + 64 = 56
a: \(61\cdot45+61\cdot23-68\cdot51\)
\(=61\left(45+23\right)-68\cdot51\)
\(=68\cdot61-68\cdot51\)
\(=68\left(61-51\right)=68\cdot10=680\)
b: \(3\cdot5^2-\left(75-4\cdot2^3\right)\)
\(=75-75+4\cdot8\)
\(=4\cdot8=32\)
c: \(36:\left\{2^2\cdot5-\left[30-\left(5-1\right)^2\right]\right\}\)
\(=\dfrac{36}{20-30+4^2}\)
\(=\dfrac{36}{-10+16}=\dfrac{36}{6}=6\)
d: \(\left(12\cdot49-3\cdot2^2\cdot7^2\right):\left(2020\cdot2021\right)\)
\(=\dfrac{\left(12\cdot49-12\cdot49\right)}{2020\cdot2021}=0\)
a. A= -2012+(-596)+(-201)+496+301
= -2012+(496-596)+(301-201)
= -2012+(-100)+100
= -2012
c.
Tổng C có số số hạng là:
(100-1):1+1=100
Có số cặp là:
100:2=50(cặp)
Ta có: C= 1-2+3-4+...+99-100
= (1-2)+(3-4)+...+(99-100)
= (-1)+(-1)+...+(-1)
= (-1).50
=-50
a) 2763 + 152 = 2915
b) ( -7) + ( -14) = -21
c) 23 + ( -13) = 10
d) 78 + ( -123) = -45
e) ( -23) + 105 = 82
f) 6 - ( 8 - 17) =-15
g) | -18|+ ( -12) = 6
h) ( -20) + | 88| = 68
i) | - 37| +|15| = 52
k) 12 - 34 = -22
l) 31 - ( -23) = 8
m) 19+(23-19) = 23
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