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\(476-\left\{5.\left[409-\left(8.3-21^2\right)\right]-1724\right\}\)
\(=476-\left\{5.\left[409-\left(24-21\right)^2\right]-1724\right\}\)
\(=476-\left\{5.\left[409-3^2\right]-1724\right\}\)
\(=476-\left\{5.\left[409-9\right]-1724\right\}\)
\(=476-\left\{5.400-1724\right\}\)
\(=476-\left\{2000-1724\right\}\)
\(=476-276=200\)
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a) 17.(-25) + 25.21
= (-17).25 + 25.21
= 25.[(-17) + 21]
= 25.4
= 100
b) 24.82 + 24.18 - 100
= 24.(82 + 18) - 100
= 24.100 - 100
= 2400 - 100
= 2300
c) (-26) + 48 + (-34) + 42
= [(-26) + (-34)] + (48 + 42)
= (-60) + 90
= 30
d) 476 - {5.[409 - (8.3 - 21)2] - 1724}
= 476 - {5.[409 - (24 - 21)2] - 1724}
= 476 - {5.[409 - 32] - 1724}
= 476 - {5.[409 - 9] - 1724}
= 476 - {5.400 - 1724}
= 476 - {2000 - 1724}
= 476 - 276
= 200
![](https://rs.olm.vn/images/avt/0.png?1311)
776 - { 5. [ 409 - (8.3 - 212)] - 1724}
= 776 - { 5.[ 409 - (24 - 441)] - 1724}
= 776 - { 5.[ 409 + 417] - 1724}
= 776 - {5. 826 - 1724}
= 776 - 2406
= - 1630
![](https://rs.olm.vn/images/avt/0.png?1311)
cho A=2 mũ 0 + 2 mũ 1 + 2 mũ 2 + ...... +2 mũ 100 tổng A chia cho 7 dư mấy
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1.Tính nhanh nếu có thể:
a) 22 + 23 + 89 + 77
= ( 77 + 23 ) + 22 + 89
= 100 + 22 + 89
= 122 + 89
= 211
b) 35 . 15 + 15 . 65
= 15 . ( 35 + 65 )
= 15 . 100
= 1500
c) 7^2 - 36 : 3^2
= 7^2 - 36 : 9
= 7^2 - 4
= 49 - 4
= 45
d) 476 - {5 . [409 - (8 . 3 - 21)2] - 1724}
= 476 - {5 . [409 - (24 - 21)^2] - 1724}
= 476 - {5 . [409 - (3^2)] - 1724}
= 476 - {5 . [409 - 9 ] - 1724}
= 476 - {5. 400 - 1724}
= 476 - {2000 - 1724}
= 476 - 276
= 200
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ta có :
\(A=\left(3+3^2+3^3\right)+\left(3^4+3^5+3^6\right)+..+\left(3^{58}+3^{59}+3^{60}\right)\)
\(=13.3+13.3^4+13.3^7+..+13.3^{58}\text{ nên A chia hết cho 13}\)
b. ta có :
\(M=\left(2+2^3\right)+\left(2^2+2^4\right)+\left(2^5+2^7\right)+..+\left(2^{18}+2^{20}\right)\)
\(=2.5+2^2.5+2^5.5+2^6.5+..+2^{18}.5\text{ nên B chia hết cho 5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
476 - { 5x [ 409 - ( 8 x 3 - 212 ) ] - 1724
= 476 - { 5x [ 409 - ( 8 x 3 - 441 ) ] - 1724
= 476 - { 5x [ 409 - ( 24 - 441 ) ] - 1724
= 476 - { 5x [ 409 - ( - 417 ) ] - 1724
= 476 - { 5x [ 409 + 417 ) ] - 1724 }
= 476 - { 5x 826 - 1724 }
= 476 - { 4130 - 1724 }
= 476 - 2406
= - 1930