Tính nhanh nếu có thể
c)1407-{[(285-185):2^2.3]+7}
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a) \(64\left(10-2^3\right)=64.\left(10-8\right)=64.2=128\)
b)\(3^2.\left(56+44\right)=9.100=900\)
=>3C=1.2.3+2.3.3+...+99.100.3
= 1.2.(3 - 0) + 2.3.(4 - 1) +...+ 99.100.(101 - 98)
= 1.2.3 - 0.1.2 + 2.3.4 - 1.2.3 +...+ 99.100.101 - 98.99.100
= 99.100.101
=>\(C=\frac{99.100.101}{3}=333300\)
\(C = 1.2+2.3+3.4+...+99.100\)
\(\Rightarrow3C=1.2.3+2.3.3+3.4.3+...+99.100.3\)
\(3C=1.2.\left(3-0\right)+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+99.100.\)\(\left(101-98\right)\)
\(3C=\left(1.2.3+2.3.4+3.4.5+...+99.100.101\right)\)\(-\left(0.1.2+1.2.3+2.3.4+...+98.99.100\right)\)
\(3C=99.100.101-0.1.2\)
\(3C=999900-0=999900\)
\(C=999900:3\)
\(\Rightarrow C=333300\)
a) 2345 − 1000 : [19-2(21-18) 2 ]=2345-1000:1=1345
b) 205 − [ 1200 − ( 4 2 − 2.3 ) 3 ]=205-( 1200 − 1000 ) = 5
a)16x185+925x185=(10+925)x185+6x185=935x185+6x185=172975+1110=174085
b)285x197-57x285-285x40=285x(197-57-40)=285x100=28500
a) 463+318+137+22
= (463+137)+(318+22)
= 600+340
= 940
b) 185.32-32.85
= 32.(185-85)
= 32 . 100
= 3200
c) \(15:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\)
\(\text{= }15:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(\text{= }15:\left\{390:\left[500-370\right]\right\}\)
\(=15:\left(390:130\right)\)
\(\text{= }15:3\)
\(\text{= }5\)
a)\(463+318+137+22\)
\(=\left(463+137\right)+\left(318+22\right)\)
\(=600+340=940\)
b)\(185.3^2-3^2.85\)
\(=3^2.\left(185-85\right)\)
\(=9.100=900\)
c)\(15:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\)
\(=15:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(=15:\left\{390:\left[500-370\right]\right\}\)
\(=15:\left\{390:130\right\}\)
\(=15:3=5\)
a)29 . (19 – 13) – 19 . (29 – 13)
= 29 . 6 – 19 . 16
= 174 – 304
= –130.
b)31.(-18)+31.(-81)-31
= 31. [-18 + (-81) - 1 ]
= 31. (-100)
= -3100
c)(7.3-3):(-6)
(7.3-3):(-6)
= (21-3):(-6)
= 18 : (-6)
= 3
d)72:[(-6).2+4)]
= 72 : ( -12 + 4 )
= 72 : -8
= -9
c)1407-{[(285-185):22.3]+7}
= 1407-{[100:4.3]+7}
= 1407-(25.3+7)
= 1407-(75+7)
= 1407-82
= 1325