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\(a.=24+42+120-24-42\)
\(=\left(24-24\right)+\left(42-42\right)+120\)
\(=0+0+120\)
\(=120\)
\(b.=13-145+49-13-49\)
\(=\left(13-13\right)+\left(49-49\right)-145\)
\(=0+0-145\)
\(=-145\)
a)58(-45+-24)+-69.42
=58.(-69)+(-69).42
=-69.(58+42)
=-69.100
=-6900
a;
A= 58.(-45) + (-58).24 + (-69).42
A = -58.(45 + 24) - 69.42
A =-58.69 - 69.42
A = -69.(58 + 42)
A = -69.100
A = -6900
b; 139 - (-65 + 239) - (85 + 120)
B = 139 + 65 - 239 - 85 - 120
B = -(239 - 139) - (85 - 65) - 120
B = - 100 - 20 - 120
B = - 120 - 120
B = - 240
g) (15 + 37) + (52 – 37 – 17) = 15 + 37 + 52 – 37 – 17 = 15 + 52 – 17 = 50 h) (38 – 42 +14) - (38 – 42 - 15) = 38 – 42 +14 - 38 + 42 + 15 = 14 + 15 = 29 i) (27 + 65 ) + (346 - 27- 65) = 27 + 65 + 346 - 27- 65 = 346 k) - (27 + 65) - (346 – 27 - 65) = -27 - 65 - 346 + 27 + 65 = -346 l) (42 – 69 + 17) - (42 + 17) = 42 – 69 + 17 - 42 - 17 = – 69 m) 24. (16 - 5) – 16. (24 – 5 ) = 24. 16 - 24 . 5 - 16 . 24 + 16. 5 = - 24 . 5 + 16. 5 = -8 . 5 = -40 n) (-12). 47 – 12 . 52 + (-12) = -12 (47 - 52 + 1) = -12 . (-4) = 48 p) 51 . (69 - 25) – 69. (51 - 25) = 51 . 69 - 51 . 25 – 69. 51 + 69. 25 = - 51 . 25 + 69. 25 = (- 51+ 69).25 = 450 |
5. ( - 199 ) + ( - 200 ) + ( - 201 )
= [ ( - 199 ) + ( - 20 ) ] + ( - 200 )
= ( - 400 ) + ( - 200 )
= - 600
\(a,\Rightarrow2^{x-1}=24-\left(16-3\right)-3\\ \Rightarrow2^{x-1}=24-13-3\\ \Rightarrow2^{x-1}=8=2^3\\ \Rightarrow x-1=3\Rightarrow x=4\\ b,\Rightarrow\left(19x+50\right):14=25-16=9\\ \Rightarrow19x+50=126\\ \Rightarrow x=4\)
a, 24/-42 = -24/42= -4x6/7x6 =-4/7
b,-24/36 = -2x12/3x12 =-2/3
c,-8/56= -1x8/7x8 =-1/7
d,29/-87= -29/87 =-1x29/3x29 =-1/3
e, -3x35/42x9 =-1x3x5x7/6x7x3x3 =-1x5/3x6 =-5/18
f,-45045 / 6006000=-45x1001 /6000x1001=45/6000=3x15/15x400=3/400
\(a.\frac{-4}{7},b.\frac{-2}{3},c.\frac{-1}{7},d.\frac{-1}{3},e.\frac{-5}{18},f.\frac{-3}{400}\)