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\(\text{a) }\left(27+514\right)-\left(486-73\right)\)
\(=27+514-486+73\)
\(=\left(27+73\right)+\left(514-486\right)\)
\(=100+1000\)
\(=1100\)
\(\text{b) }\left(38-29+43\right)-\left(43+28\right)\)
\(=38-29+43-43-28\)
\(=\left(38-28\right)+\left(43-43\right)-29\)
\(=10+0-29\)
\(=10-29\)
\(=-19\)
\(\text{c) }\left(-245-12\right)-\left(18-245\right)\)
\(=-245-12-18+245\)
\(=\left(245-245\right)-\left(12+18\right)\)
\(=0-30\)
\(=-30\)
\(\text{d) }\left(327+414\right)-\left(-586-73\right)\)
\(=327+414+586+73\)
\(=\left(327+73\right)+\left(414+586\right)\)
\(=400+1000\)
\(=1400\)
\(A=1+2^1+2^2+2^3+2^4+...+2^{101}\)
\(=\left(1+2^1+2^2\right)+\left(2^3+2^4+2^5\right)+...+\left(2^{99}+2^{100}+2^{101}\right)\)
\(=\left(1+2^1+2^2\right)+2^3\left(1+2^1+2^2\right)+...+2^{99}\left(1+2^1+2^2\right)\)
\(=7\left(1+2^3+...+2^{99}\right)⋮7\)
Có \(2^1,2^2,...,2^{101}\)đều chia hết cho \(2\)mà \(1\)không chia hết cho \(2\)nên \(A⋮̸2\).
30 giây trước (16:23)
1 + 1 = 2
9 - 6 = 3
15 + 38 = 53
9 : 3 = 3
9 - 125 = -116
(-125) + 65 = 60
95 - (-37) = 95+37=132
\(14x-2x=120\)
\(\Rightarrow12x=120\)
\(\Rightarrow x=120:12\)
\(\Rightarrow x=10\)
3x25x8+4x6x37+2x38x12=600+888+912
=600+(888+912)
=600+1800
=2400
\(\left(-38\right)\cdot63+\left(-37\right)\cdot38\)
\(=38\left(-63\right)+38\left(-37\right)\)
\(=38\left(-63-37\right)\)
\(=-100\cdot38=-3800\)
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