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Làm theo cách này nhé :
a = 2 / 60 x 63 + 2 / 63 x 66 + 2 / 66x 69 + ...+ 2 / 117 x 120 + 2 / 2011
= 2/3 x ( 3/60 x 63 + 3 / 63 x 66 + 3 / 66 x 69 + ...+ 3/117 x 120 ) + 2/2011
= 2/3 x ( 1/60 - 1/63 + 1/63 - 1/66 + 1/66 - 1/69 + ... + 1/117 - 1/120 ) + 2/2011
= 2/3 x ( 1/60 - 1/120 ) + 2/2011
= 2/3 x 1/120 + 2/2011
= 1/180 + 2/2011
b = 5/ 40 x 44 + 5 / 44 x 48 + ...+ 5/76 x 80 + 5/ 2011
= 5/4 x ( 4/40 x 44 + 4/44 x 48 + ...+ 4/76 x 80 ) + 5/2011
= 5/4 x ( 1/40 - 1/44 + 1/44 - 1/48 + ...+ 1/76 - 1/80 ) + 5/2011
= 5/4 x ( 1/40 - 1/80 ) + 5/2011
= 5/4 x 1/80 + 5/2011
= 1/64 + 5/2011
Do 1/64 > 1/80 ; 5/2011 > 2/2011
=> 1/64 + 5/2011 > 1/80 + 2/2011
=> b > a
K nha
a) \(48.19+48.15+134.52\)
\(=48\left(19+15\right)+6968\)
\(=48.34+6968\)
\(=1632+6968\)
\(=8600.\)
b) \(27.121-87.27+73.34\)
\(=27\left(121-87\right)+73.34\)
\(=27.34+73.34\)
\(=34\left(27+73\right)\)
\(=34.100\)
\(=3400.\)
c) \(125.98-125.46-52-25\)
\(=125\left(98-46\right)-52-25\)
\(=125.52-52-25\)
\(=52\left(125-1\right)-25\)
\(=52.124-25\)
\(=6448-25\)
\(=6423.\)
d) \(136.23+136.17-40.36\)
\(=136\left(23+17\right)-40.36\)
\(=136.40-40.36\)
\(=40\left(136-36\right)\)
\(=40.100\)
\(=4000.\)
e) \(66.25+5.66+66.14+33.94\)
\(=33\left(2.50+5.2+14.2+94\right)\)
\(=33\left(50+10+28+94\right)\)
\(=33.182\)
\(=6006.\)
a: Số số hạng là:
(40-2):2+1=20(số)
Tổng là:
42x10=420
a) 52 – 42 + 37 – 28 + 38 + 63 = (52 – 42) + (37 + 63) + (38 – 28) = 10 + 100 + 10 = 120
b) 130 + 35.19 – 9.70 – 30
= (35.19 – 9.70) + (130 – 30) = (35.19 – 9.35.2) + 100 = 35.(19 – 18) + 100 = 35 + 100 = 135
c) (11 + 13 + 15 + … + 19).(6.8 – 48) = (11+13+15+…+19).0 = 0
d) (72 – 8.9):(20+22+24 – 19 +21+23) = 0:(20+22+24 – 19 +21+23) = 0
(-52).66+(-52).34
=(-52). (66+34)
= (-52).100
= -5200
\(27.332+93.43+57.61+69.57\\ =27.332+93.43+57.\left(61+69\right)\\ =27.332+93.43+57.130\\ =8964+3999+7410=20373\\ 34.75+75.66-65.100\\ =\left(34+66\right).75-65.100\\ =100.75-65.100\\ =100.\left(75-65\right)\\ =100.10=1000\\ \left(456.11+912\right).37:13:74\\ =5928:13:\left(74:37\right)\\ =456:2=228\\ 6^2:4.3+2.5^2\\ =36:4.3+2.25\\ =9.3+50=27+50=77\\ 5.4^2-18:3^2\\ =5.16-18:9\\ =80-2=78\\\left[\left(315+372\right).3+\left(372+315\right).7\right]:\left(26.13+74.14\right)\\ =687.\left(3+7\right):\left(338+1036\right)\\ 687.10:1374\\ =6870:1374=5\\ 12:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\\ =12:\left[390:\left(500-370\right)\right]\\ =12:\left(390:130\right)=12:3=4\\ 192000-\left(1500.2+1800.3+1800.2:3\right)\\ =192000-\left(3000+5400+1200\right)\\ =192000-9600=182400\)
Ta có :
\(\xrightarrow[34^{18}>32^{18}=\left(2^5\right)^{18}=290]{63^{15}< 64^{15}=\left(2^6\right)^{15}=2^{90}}\Rightarrow63^{15}< 54^{18}\)
a)
Ta có:
\(63^{15}< 64^{15}\Rightarrow63^{15}< \left(2^5\right)^{15}\Rightarrow63^{15}< 2^{90}\)
\(34^{18}>32^{18}\Rightarrow34^{18}>\left(2^5\right)^{18}\Rightarrow34^{18}>2^{90}\)
\(\Leftrightarrow34^{18}>63^{15}\)
b)
\(55^{66}=\left(55^6\right)^{11}=330^{11}\)
\(66^{55}=\left(66^5\right)^{11}=330^{11}\)
\(\Leftrightarrow55^{66}=66^{55}\)
=300
k mk nha
mk k rùi đó
52 + 48 + 63 + 66 +37 + 34 = 300