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a) \(\left(55-27\right)+\left(27+30-55\right)\)
\(=55-27+27+30-55\)
\(=\left(55-55\right)+\left(-27+27\right)+30\)
\(=30\)
b) \(\left(75+35+15\right)-\left(15-75+35\right)\)
\(=75+35+15-15+75-35\)
\(=\left(75+75\right)+\left(35-35\right)+\left(15-15\right)\)
\(=75+75\)
\(=150\)
2 . 53 . 27 + 6 . 9 . 87 - 3 . 18 . 40
= 2. 53 . 9 . 3 + 2. 3 .9 .87 - 3 .2 .9 .40
= 54.53+54.87-54.40
=54(53+87-40)
=54. 100=5400
12 . 25 + 29 . 25 + 59 . 25
= 25 . ( 12+29+59)
=25 . 90
=2250
43 . 37 + 93 . 43 + 57 . 61 + 69 . 57
= 43.(37+93)+57(61+69)
=43.130+57.130
=130.(43+57)
=130.100
=13 000
12 . 53 + 53 . 172 - 53
=53(12+172-1)
=53.184
=9752
35 . 54 + 35 . 58 + 65 . 75 + 65 . 45
=35(54+58)+65(75+45)
=35.112+65.120
=3920+7800
=11720
39 . 8 + 70 . 3 + 31 . 8
=8(39+31)+70.3
=8.70+70.3
=70.(8+3)
=70.11
=770
a ) 25 - ( - 75 ) + 32 - ( 32 + 75
= 25 + 75 + 32 - 32 - 75
= 100 + 0 - 75
= 25
b ) 24 . ( 16 - 5 ) - 16 . ( 24 - 15 )
= 24 . 11 - 16 . 9
= 264 - 144
= 120
c ) 29 . ( 19 - 13 ) - 19 - ( 29 - 13 )
29 . 6 - 19 - 29 + 13
= 174 - 19 - 29 + 13
= 126 + 13
= 139
d ) ( 55 + 45 15 ) - ( 15 - 55 + 45 )
= 4570 - 15 + 10
= 4555 + 10
= 4565
31.(-18) + 31.(-81) - 31
= 31.(-18 - 81 - 1)
= 31.(-100) = -3100
-48 + 48.(-78) + 48.(-21) = 48.(-1 - 78 - 21) = 48. (-100) = -4800
-75.(8 - 65) - 65.(75 - 18) = -75.18 + 75.65 - 65.75 + 65.18 = 0
29.(19 - 13) - 19.(29 - 13) = 29.19 - 29.13 - 19.29 + 19.13 = 0
13.(23 + 22) - 3(17 + 28) = 13.25 - 3.45 = (10 + 3).25 - 3.45
= 10 . 25 + 3.25 - 3.45 = 10.25 - 3.(45 - 25)
= 250 - 3.20 = 250 - 60 = 190
(-25).21 . (-2)2.(|3|). (-1)2n + 2 (n \(\in\)N*)
= (-25. 4) . (21.3).1
= -100. 63 = -6300
a) (-30) + 17 + (-70) + 33
=[-30+(-70)]+(17+33)
=-100+50
=-50
b) 56 - 15 - 6 + (-75)
=(56-6)-[15+(-75)]
=50-(-60)
=110
c) (157 - 56) - (44 + 57)
=157-56-44+57
=(-157-57)-(56+44)
=-100-100
=-200
d) (-24 + 174) - (174 - 24)
=-24+174-174+24
=(-24+24)+(174-174)
=0+0
=0
e) (35 - 47) - (-123 + 35) + [20 - (123 - 57)]
=35-47+123-35+[20-123+57]
=35-47+123-35+20-123+57
=(35-35)+(123-123)+(-47+57)
=0+0+(-10)
=-10
a/ =15+37+52-37-17
=(15+52)-17+(37-37)
=67-17+0
=50
b/=38-42+14-25+27+15
=-4+14+27-25+15
=10+27-40
=37-40
=-3
c/=-21+32+12-32
=-21+12+32-32
=11+0
=11
d/=-12-21+23-23+21-10
=-33+0+11
=-22
e/=57-725-605+53
=-668-605+53
=-1273+53
=-1220
f/=55+45+15-15+55-45
=55+55+45-45+15-15
=110+0+0
=110
a, -(-15+125-81)-(-85+75-19+100)
=-15-125+81-(-85)-75+19-100
=-140+81-(-85)-75+19-100
=-59-(-85)-75+19-100
=-16-75+19-100
=-91+19-100
=-72-100
=-172