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1, Tính :
a, \(8.4^5-3.9.12+28\div4.2^0\)
\(=8192-27.12+7.1\)
\(=8192-324+7\)
\(=7868+7\)
\(=7875\)
b, \(210+86.2^3\div2-19.2^3\)
\(=210+86.8\div2-19.8\)
\(=210+688\div2-19.8\)
\(=210+344-152\)
\(=554-152=402\)
c, \(54.23+11^2-152\)
\(=54.23+121-152\)
\(=1242+121-152\)
\(=1363-152=1211\)
2, Tính giá trị của biểu thức :
a, \(311\div\left\{210+\left[53+\left(37-25\right).2^2\right]\right\}\)
\(=311\div\left\{210+\left[53+12.4\right]\right\}\)
\(=311\div\left\{210+\left[53+48\right]\right\}\)
\(=311\div\left\{210+101\right\}\)
\(=311\div311=1\)
Vậy giá trị biểu thức trên bằng 1
b, \(\left\{\left[200+\left(50-30\right)^2\right]-456\right\}\div12\)
\(=\left\{\left[200+20^2\right]-456\right\}\div12\)
\(=\left\{\left[200+400\right]-456\right\}\div12\)
\(=\left\{600-456\right\}\div12\)
\(=144\div12=12\)
Vậy giá trị biểu thức trên bằng 12
\(a,2^2=4,2^3=8,2^4=16,2^5=32,2^6=64,2^7=128,2^8=256,2^9=512,2^{10}=1024\)
\(b,3^2=9,3^3=27,3^4=81,3^5=243\)
\(c,4^2=16,4^3=64,4^4=256\)
\(d,5^2=25,5^3=125,5^4=625\)
Bài 2: Tính nhanh
a) 29 + 132 + 237 + 868 + 3
= 29+(132+858)+(237+3)
=29+990+240
=1259
A = \(\dfrac{18}{26}\) + (-\(\dfrac{5}{27}\)) + (-\(\dfrac{22}{86}\)) + \(\dfrac{12}{39}\) - \(\dfrac{32}{43}\)
A = \(\dfrac{9}{13}\) - \(\dfrac{5}{27}\) - \(\dfrac{11}{43}\) + \(\dfrac{4}{13}\) - \(\dfrac{32}{43}\)
A = (\(\dfrac{9}{13}\) + \(\dfrac{4}{13}\)) - (\(\dfrac{11}{43}\) + \(\dfrac{32}{43}\)) - \(\dfrac{5}{27}\)
A = \(\dfrac{13}{13}\) - \(\dfrac{43}{43}\) - \(\dfrac{5}{27}\)
A = 1 - 1 - \(\dfrac{5}{27}\)
A = 0 - \(\dfrac{5}{27}\)
A = - \(\dfrac{5}{27}\)
a) 8 . 4^5 - 3 . 9 . 12 + 28 : 4 . 2^0 = 7875
b) 210 + 86 . 2^3 : 2 - 19 . 23 = 117
c) 144 .12 + 83 . 11 - 17 . 3 = 2590
d) 54 . 23 + 11^2 - 152 = 1211
a) 8 . 45 - 3 . 9 . 12 + 28 : 4 . 20 = 7875
b) 210 + 86 . 23 : 2 - 19 . 23 = 117
c) 144 . 12 + 83 . 11 - 17 . 3 = 2590
d) 54 . 23 + 112 - 152 = 1211
45-58+(-45)+(+58)-3=45-58-45+58-3=(45-45)+(58-58)-3=-3
(-57)-(-12)+3-(-57)=-57+12+3+57=(-57+57)+12+3=15
-(-24)-(-30)+(-24)-30+8=24+30-24-30+8=(24-24)+(30-30)+8=8
-(-12)+(+19)-(+12)+8-19=12+19-12+8-19=(12-12)+(19-19)+8=8
47-(-53)+(-47)-(+53)=47+53-47-53=(47-47)+(53-53)=0
-(+28)+32-(-28)+(-34)=-28+32+28-34=(-28+28)-(34-32)=-2
15-(+72)+(-15)+(+72)=15-72-15+72=(15-15)+(72-72)=0
20-(+46)+(-25)-(-46)=20-46-25+46=(20-25)+(46-46)=-5
28-(-32)+(-28)-32+5=28+32-28-32+5=(28-28)+(32-32)+5=5
-75+(-49)+(+75)+49-12=-75-49+75+49-12=(-75+75)+(49-49)-12=-12
\(...=45-58-45+58-3=-3\)
\(...=-57+12+3+57=15\)
\(...=24+30-24-30+8=8\)
\(...=12+19-12+8-19=8\)
\(...=47+53-47-53=0\)
\(...=-28+32+28-34=-2\)
\(...=15-72-15+72=0\)
\(...=20-46-25+46=-5\)
\(=...28+32-28-32+5=5\)
\(...=-75-49+75+49-12=-12\)