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a) \(3.5^2+15.2^2-26\div2\)
= 3.25 + 15.4 - 13
= 75 + 60 - 13
= 135 - 13
= 122
b) \(5^3.2-100\div4+2^3.5\)
= 125.2 - 25 + 8.5
= 250 - 25 + 40
= 225 + 40
= 265
c)\(6^2\div9+50.2-3^3.33\)
= 36 : 9 + 100 - 9.33
= 4 + 100 - 297
= 104 - 297
= -193
d)\(3^2.5+2^3.10-81\div3\)
= 9.5 + 8.10 - 27
= 45 + 80 - 27
= 125 - 27
= 98
e) \(5^{13}\div5^{10}-25.2^2\)
= 53 - 25.4
= 125 - 100
= 25
f) \(20\div2^2+5^9\div5^8\)
= 20 : 4 + 5
= 5 + 5
= 10
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)\(15:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\)
\(=15:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(=15:\left\{390:\left[500-370\right]\right\}\)
\(=15:\left\{390:130\right\}\)
\(=15:3=5\)
\(\left(32^8.11-32^3.32^5\right):32^7\)
\(=\left(32^8.11-32^8\right):32^7\)
\(=\left[32^8.\left(11-1\right)\right]:32^7\)
\(=\left[32^8.10\right]:32^7\)
\(=\frac{32^8}{32^7}.\frac{10}{32^7}\)
\(=\frac{32.10}{32^7}\)
\(=\frac{10}{32^6}\)
Bài 2: Tính nhanh
a) 29 + 132 + 237 + 868 + 3
= 29+(132+858)+(237+3)
=29+990+240
=1259
\(=\dfrac{9}{23}\left(\dfrac{5}{17}-\dfrac{22}{17}\right)+11+\dfrac{9}{23}=11\)
a)
\( 49.(51 - 4) - 51.(49 + 4)\)
\(=49.51-49.4-51.49-51.4\)
\(=49.(51-4-51)-51.4\)
\(=49.(-4)-51.4\)
\(=4.(-49-51)\)
\(=4.(-100)\)
\(=-400\)
b)
\( 71.64 + 32.(-7) - 13.32\)
\(=71.32.2+32.(-7)-13.32\)
\(=142.32+32.(-7)-13.32\)
\(=32.(142-7-13)\)
\(=32.122\)
\(=3904\)
c)
\( 11 + (-13) + 15 + (-17) + ... + 59 + (-61)\)
\(=(-2)+(-2)+...+(-2)\)
\(=(-2).13\)
\(=-26\)
\(2\cdot\left[\left(7-3^3:3^2\right):2^2+99\right]-100\)
\(=2\cdot\left[\left(7-3\right):4+99\right]-100\)
\(=2\left(1+99\right)-100=200-100=100\)
2.[(7-33:32):22+99]-100
= 2.[(7-3):4+99]-100
= 2.(4:4+99)-100
= 2.(1+99)-100
= 2.100-100
= 200-100
= 100