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a) \(56+\left(-29\right)+\left(-7\right)+28+13+\left(-35\right)\)
\(=27+\left(-7\right)+28+13+\left(-35\right)\)
\(=20+28+13+\left(-35\right)\)
\(=48+13+\left(-35\right)\)
\(=61+\left(-35\right)\)
\(=26\)
b) \(\left(-213\right)+186+\left(-14\right)+217+54+\left(-49\right)\)
\(=\left(-27\right)+\left(-14\right)+217+54+\left(-49\right)\)
\(=\left(-41\right)+217+54+\left(-49\right)\)
\(=176+54+\left(-49\right)\)
\(=230+\left(-49\right)\)
\(=181\)
c) \(435+\left(-43\right)+\left(-483\right)+\left(-57\right)+383+\left(-415\right)\)
\(=392+\left(-483\right)+\left(-57\right)+383+\left(-415\right)\)
\(=\left(-91\right)+\left(-57\right)+383+\left(-415\right)\)
\(=\left(-148\right)+383+\left(-415\right)\)
\(=235+\left(-415\right)\)
\(=-180\)
a)
Cách 1.
\(\begin{array}{l}\left( {4 + 32 + 6} \right) + \left( {10 - 36 - 6} \right)\\ = 4 + 32 + 6 + 10 - 36 - 6\\ = 52 + \left( { - 36} \right) + \left( { - 6} \right)\\ = 52 + \left( { - 42} \right) = 52 - 42 = 10\end{array}\)
Cách 2.
\(\begin{array}{l}\left( {4 + 32 + 6} \right) + \left( {10 - 36 - 6} \right)\\ = 4 + 32 + 6 + 10 - 36 - 6\\ = 36 + 6 + 10 + \left( { - 36} \right) + \left( { - 6} \right)\\ = 36 + \left( { - 36} \right) + 6 + \left( { - 6} \right) + 10\\ = 0 + 0 + 10 = 10\end{array}\)
b) \(\left( {77 + 22 - 65} \right) - \left( {67 + 12 - 75} \right)\)
\(\begin{array}{l} = 77 + 22 - 65 - 67 - 12 + 75\\ = 77 - 67 + 22 - 12 + 75 - 65\\ = 10 + 10 + 10 = 30\end{array}\)
c) \( - \left( { - 21 + 43 + 7} \right) - \left( {11 - 53 - 17} \right)\)
\(\begin{array}{l} = 21 - 43 - 7 - 11 + 53 + 17\\ = 21 - 11 + 53 - 43 + 17 - 7\\ = 10 + 10 + 10 = 30\end{array}\)
\(7-\left\{12-\left[-\left(-3\right)+\left(-10\right)-\left(-11\right)\right]-\left[-\left(-9\right)+\left(-8\right)-12\right]\right\}\)\(-\left(-4\right)\)
= \(7-\left\{12-\left[3+\left(-10\right)+11\right]-\left[9+\left(-8\right)-12\right]\right\}\) \(+4\)
= \(7-\left\{12-\left[7+11\right]-\left[1-12\right]\right\}+4\)
= \(7-\left\{12-18-\left(-11\right)\right\}+4\)
= \(7-\left\{-6+11\right\}+4\)
= \(7-5+4\)
= 6
7 - { 12 - [ - (- 3) + (- 10) - (- 11) ] - [ - (- 9) + (- 8) - (+ 12) ] } - (- 4)
= 7 - [ 12 - ( 3 - 10 + 11 ) - ( 9 - 8 - 12 ) ] + 4
= 7 - ( 12 - 4 + 11 ) + 4
=7 - 19 + 4
= - 8
a)
\(5+\left(-7\right)+9+\left(-11\right)+13+\left(-15\right)\)
\(=\left[5+\left(-7\right)\right]+\left[9+\left(-11\right)\right]+\left[13+\left(-15\right)\right]\)
\(=\left(-2\right)+\left(-2\right)+\left(-2\right)=-6\)
b)
\(\left(-6\right)+8+\left(-10\right)+12+\left(-14\right)+16\)
\(=\left[\left(-6\right)+8\right]+\left[\left(-10\right)+12\right]+\left[\left(-14\right)+16\right]\)
\(=2+2+2=6\)
Tìm x, biết:
3(x+2)(x+5) +5(x+5)(x+10) +7(x+10)(x+17) =x(x+2)(x+17) (x∉−2;−5;−10;−17)
2(x−1)(x−3) +5(x−3)(x−8) +12(x−8)(x−20) −1x−20 =−34 (x∉1;3;8;20)
x+110 +2+111 x+112 =x+113 +x+114
x−1030 +x−1443 +x−595 +x−1488 =0
3 phần hay 1 phần đấy
435 + ( - 43 ) + ( - 487 ) + ( - 57 ) + 383 + ( - 415 )
= 435 + ( - 415 ) + ( - 43 ) + 383 + ( - 487 ) + ( - 57 )
= [ 435 + ( - 415 ) ] + [ ( - 43 ) + 383 ] + [ ( - 487 ) + ( - 57 ) ]
= 20 + 340 + ( - 544 )
= 360 + ( - 544 )
= - 184
1316 + 317 + ( - 1213 ) + ( - 314 + ( - 85 ) )
= [ 1316 + ( - 1213 ) ] + [ 317 + ( - 314 + ( - 85 ) ) ]
= 103 + ( - 82 )
= 21
1 + ( - 4 ) + 7 + ( - 10 ) + 13 + ( - 16 )
= [ 1 + ( - 10 ) ] + [ ( - 4 ) + ( - 16 ) ] + [ 7 + 13 ]
= ( - 9 ) + ( - 20 ) + 20
= ( - 9 ) + [ ( - 20 ) + 20 ]
= ( - 9 ) + 0
= - 9