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a) 41. 36+ 59. 90 + 41. 84 + 59. 30
= 41 . (36 + 84) + 59 . (90 + 30)
= 41 . 120 + 59 . 120
= 120 . ( 41 + 59 )
= 120 . 100
= 12000
b) 4. 51 . 7 + 2 . 86 .7 + 6 . 4 . 7
= 28 . 51 + 2 . 43 . 2 . 7 + 6 . 4 . 7
= 28 . 51 + 28 . 43 + 28 . 6
= 28 . ( 51 + 43 + 6 )
= 28 . 100
= 2800
c) ( 4.7 ) . 5 + ( 4.7 ) . 43 + ( 4.7) - 6
= 28 . 5 + 28 .43 + 28 - 6
= 28 . (5 + 43 + 1) - 6
= 28 . 49 - 6
= 1372 - 6
= 1366.
d) 53 . 39 + 47 . 39 - 53 . 21 - 47 . 21
= 53 . (39 - 21) + 47. (39 - 21)
= (39 - 21) . ( 53 + 47 )
= 18 . 100
= 1800.
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đặt \(A=2^{100}-2^{99}-2^{98}-....-2-1\)
\(=2^{100}-\left(2^{99}+2^{98}+....+2+1\right)\)
Đặt \(B=2^{99}+2^{98}+.....+2+1\)
\(2B=2^{100}+2^{99}+...+2^2+2\)
\(B=2B-B=2^{100}-1\)
\(A-B=2^{100}-\left(2^{100}-1\right)=2^{100}-2^{100}+1=1\)
Vậy A = 1
\(2^{100}-2^{99}-2^{98}-....-2-1\)
đặt \(A=2^{100}-2^{99}-2^{98}-....-2-1\)
\(A=2^{100}-\left(2^{99}+2^{98}+.....+2+1\right)\)
đặt \(B=2^{99}+2^{98}+...+2+1\)
\(B=1+2+....+2^{98}+2^{99}\)
\(2B=2+2^2+.....+2^{99}+2^{100}\)
\(2B-B=2+2^2+....+2^{99}+2^{100}-\left(1+2+....+2^{98}+2^{99}\right)\)
\(B=2+2^2+....+2^{99}+2^{100}-1-2-....-2^{98}-2^{99}\)
\(B=2^{100}-1\)
ta có \(A=2^{100}-\left(2^{100}-1\right)\)
\(\Rightarrow A=2^{100}-2^{100}+1\)
\(\Rightarrow A=0+1\)
\(\Rightarrow A=1\)
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Bài làm
12 . 59 + 59 . 137 - 59 . 49
= 59 . ( 12 + 137 - 49 )
= 59 . 100
= 5900
~ Dấu " . " là dấu nhân nha. ~
# Học tốt #
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13 - 12 + 11 + 10 - 9 + 8 - 7 + 5 -4 + 3 + 2 - 1
=13
k nha
nan ni do
13 - 12 + 11 - 10 - 9 + 8 - 7 - 6 + 5 - 4 + 3 + 2 - 1
= ( 13 - 12 + 11 - 10 + 8 ) - ( 9 + 1 ) - ( 6 + 4) + ( 3 + 2 + 5 ) - 7
= 10 - 10 - 10 + 10 - 7
= ( 10 - 10 ) - ( 10 - 10 ) - 7
= 0 - 0 - 7
= - 7
294.13