Respuesta:
1. 5+{( - 3 + 4 ) +2 [ 3 -2 (5-2) ] }
=5 { (1)+2 [3-2 (3)] }
= 5{ 1 +2[3-2+3] }
= 5{ 1 +2 [4 ] }
= 5{3 +4}
= 5 {7}
= 5 + 7
= 10
2. -10 – {-5 - 2[ -3 (2+2)] -2 – 9}
= -10 – {-5 -2 [ -3 (4)] -2 -9}
= -10 – {-5 -2 [ -3+4] -2 -9 }
= -10 – { -5 -2 [1] -2 -9}
= -10 – { -5 -2 +1 -2 -9}
= -10 – { -18 +1}
= -10 – { -17}
= -10 + 17
= 7
3. -8-2{ -4( 13- 4 ) +2 [ 3 -2 (-8+ 5-2) -11+23 ] } + 12
= -8-2{ -4( 9) +2 [ 3 -2 (-10 +5) -11+23] } +12
= -8 -2 { -4+9+2 [ 3-2 -5 -11+23] } +12
= -8-2 { 7 [ 26- 18] } +12
= -8-2 {7 +8} +12
= -8-2 + 15 +12
= -10 + 27
= 17
4. -12+3{ ( 3- 14 ) +2 [ 13 -2 (15-2) -8 ] +9}
= -12+3 { ( -11 ) +2 [ 13 -2 (13) -8 ] +9}
= -12+3 { -11 +2 [13 -2+13 -8] +9}
= -12+3 { -11 +2 [ 26 - 10]+9}
= -12+3 { -11 +2 +16 +9}
= -12+3 { -11 +27}
= -12+3 +16
= -12 +19
5. -7 –3 {-5 - 5[ -2 (2+2)] -2 – 9}-7
= -7 –3 {-5 - 5[ -2 (4)] -2 – 9}-7
= -7 –3 {-5-5[ -2+4 ] -2 –9} -7
= -7 –3 {-5-5 +2 -2–9} -7
= -7 –3 {-21+2} -7
= -7 –3 -19 -7
= -36
[tex]=5+1+2\left[3-2\left(5-2\right)\right]\\\\=5+1+2\left(-3\right)\\\\=5+1-6\\\\=0[/tex]
2. -10 – {-5 - 2[ -3 (2+2)] -2 – 9}.
[tex]=-10-\left(-5\right)-2\left(-12\right)-2-9\\\\=-10-\left(-5\right)-\left(-24\right)-2-9\\\\=8[/tex]
[tex]=-8-2-4\cdot \:9+2\left[3-2\left(-8+5-2\right)-11+23\right]+12\\\\=-8-2-4\cdot \:9+2\cdot \:25+12\\\\=-8-2-36+50+12\\\\=16[/tex]
[tex]=-12+3\left(-11\right)+2\left[13-2\left(15-2\right)-8\right]+9\\\\=-12+3\left(-11\right)+2\left(-21\right)+9\\\\-12-33+2\left(-21\right)+9\\\\=-12-33-42+9\\\\=-78}\\[/tex]
5. -7 –3 {-5 - 5[ -2 (2+2)] -2 – 9}-7
[tex]=-7-3-5-5\left(-8\right)-2-9-7\\\\=-7-3-5-\left(-40\right)-2-9-7\\\\=7[/tex]
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Verified answer
Respuesta:
1. 5+{( - 3 + 4 ) +2 [ 3 -2 (5-2) ] }
=5 { (1)+2 [3-2 (3)] }
= 5{ 1 +2[3-2+3] }
= 5{ 1 +2 [4 ] }
= 5{3 +4}
= 5 {7}
= 5 + 7
= 10
2. -10 – {-5 - 2[ -3 (2+2)] -2 – 9}
= -10 – {-5 -2 [ -3 (4)] -2 -9}
= -10 – {-5 -2 [ -3+4] -2 -9 }
= -10 – { -5 -2 [1] -2 -9}
= -10 – { -5 -2 +1 -2 -9}
= -10 – { -18 +1}
= -10 – { -17}
= -10 + 17
= 7
3. -8-2{ -4( 13- 4 ) +2 [ 3 -2 (-8+ 5-2) -11+23 ] } + 12
= -8-2{ -4( 9) +2 [ 3 -2 (-10 +5) -11+23] } +12
= -8 -2 { -4+9+2 [ 3-2 -5 -11+23] } +12
= -8-2 { 7 [ 26- 18] } +12
= -8-2 {7 +8} +12
= -8-2 + 15 +12
= -10 + 27
= 17
4. -12+3{ ( 3- 14 ) +2 [ 13 -2 (15-2) -8 ] +9}
= -12+3 { ( -11 ) +2 [ 13 -2 (13) -8 ] +9}
= -12+3 { -11 +2 [13 -2+13 -8] +9}
= -12+3 { -11 +2 [ 26 - 10]+9}
= -12+3 { -11 +2 +16 +9}
= -12+3 { -11 +27}
= -12+3 +16
= -12 +19
= 7
5. -7 –3 {-5 - 5[ -2 (2+2)] -2 – 9}-7
= -7 –3 {-5 - 5[ -2 (4)] -2 – 9}-7
= -7 –3 {-5-5[ -2+4 ] -2 –9} -7
= -7 –3 {-5-5 +2 -2–9} -7
= -7 –3 {-21+2} -7
= -7 –3 -19 -7
= -36
Respuesta:
1. 5+{( - 3 + 4 ) +2 [ 3 -2 (5-2) ] }
[tex]=5+1+2\left[3-2\left(5-2\right)\right]\\\\=5+1+2\left(-3\right)\\\\=5+1-6\\\\=0[/tex]
2. -10 – {-5 - 2[ -3 (2+2)] -2 – 9}.
[tex]=-10-\left(-5\right)-2\left(-12\right)-2-9\\\\=-10-\left(-5\right)-\left(-24\right)-2-9\\\\=8[/tex]
3. -8-2{ -4( 13- 4 ) +2 [ 3 -2 (-8+ 5-2) -11+23 ] } + 12
[tex]=-8-2-4\cdot \:9+2\left[3-2\left(-8+5-2\right)-11+23\right]+12\\\\=-8-2-4\cdot \:9+2\cdot \:25+12\\\\=-8-2-36+50+12\\\\=16[/tex]
4. -12+3{ ( 3- 14 ) +2 [ 13 -2 (15-2) -8 ] +9}
[tex]=-12+3\left(-11\right)+2\left[13-2\left(15-2\right)-8\right]+9\\\\=-12+3\left(-11\right)+2\left(-21\right)+9\\\\-12-33+2\left(-21\right)+9\\\\=-12-33-42+9\\\\=-78}\\[/tex]
5. -7 –3 {-5 - 5[ -2 (2+2)] -2 – 9}-7
[tex]=-7-3-5-5\left(-8\right)-2-9-7\\\\=-7-3-5-\left(-40\right)-2-9-7\\\\=7[/tex]