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( 260 -359 ) - (-350 + 260 ) = (260 - 260 ) +( -359 +350) = 0 +(-9) = -9
sửa lạu đề tí nha 47 x 0.24 + 53 x0.24 = 0,24.(47+53) = 0,24 . 100 =24
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a) \(A=1+2+2^2+...+2^{50}\)
\(\Rightarrow2A=2+2^2+...+2^{51}\)
\(\Rightarrow A=2A-A=2+2^2+...+2^{51}-1-2-2^2-...-2^{50}=2^{51}-1\)
b) \(B=1+3+3^2+...+3^{100}\)
\(\Rightarrow3B=3+3^2+...+3^{101}\)
\(\Rightarrow2B=3B-B=3+3^2+...+3^{101}-1-3-3^2-...-3^{100}=3^{101}-1\)
\(\Rightarrow B=\dfrac{3^{101}-1}{2}\)
c) \(C=5+5^2+...+5^{30}\)
\(\Rightarrow5C=5^2+5^3+...+5^{31}\)
\(\Rightarrow4C=5C-C=5^2+5^3+...+5^{31}-5-5^2-...-5^{30}=5^{31}-5\)
\(\Rightarrow C=\dfrac{5^{31}-5}{4}\)
d) \(D=2^{100}-2^{99}+2^{98}-...+2^2-2\)
\(\Rightarrow2D=2^{101}-2^{100}+2^{99}-...+2^3-2^2\)
\(\Rightarrow3D=2D+D=2^{101}-2^{100}+2^{99}-...+2^3-2^2+2^{100}-2^{99}+...+2^2-2=2^{101}-2\)
\(\Rightarrow D=\dfrac{2^{101}-2}{3}\)
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\(\left(-59\right)\cdot\left(-43\right)-59\cdot53\)
\(=59\cdot43-59\cdot53\)
\(=59\cdot\left(43-53\right)\)
\(=59\cdot-10=-590\)
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59 : 54 = 1,0935
59 : 27 = 2,185
59 : 18 = 3,2777
59 : 9 = 6,5555
59 : 6 = 9,833
bn tính dư cho mik đc ko, tính dư ko phải số thập phân nhé, dù gì cũng cảm ơn bạn ĐÀO TRẦN TUẤN ANH
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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
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\(\left(59-5^{30}\right)-\left(59+3^3-5^{30}\right)\)
\(=59-5^{30}-59-3^3+5^{30}\)
\(=3^3\)
\(=27\)
(59-530)-(59+33-530)
= 59 - 5 30 - 59 - 33+530
= (59-59) + ( 530- 530) - 33
= 0 + 0 -27
= -27