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2,
a) \(315-\left(135-x\right)=215\)
\(\Rightarrow135-x=315-215\)
\(\Rightarrow135-x=100\)
\(\Rightarrow x=135-100\)
\(\Rightarrow x=35\)
b) \(x-320:32=25\cdot16\)
\(\Rightarrow x-10=5^2\cdot4^2\)
\(\Rightarrow x-10=20^2\)
\(\Rightarrow x-10=400\)
\(\Rightarrow x=410\)
c) \(3\cdot x-2018:2=23\)
\(=3\cdot x-1009=23\)
\(\Rightarrow3\cdot x=1032\)
\(\Rightarrow x=1032:3\)
\(\Rightarrow x=344\)
d) \(280-9\cdot x-x=80\)
\(\Rightarrow280-x\cdot\left(9+1\right)=80\)
\(\Rightarrow280-10\cdot x=80\)
\(\Rightarrow10\cdot x=280-80\)
\(\Rightarrow10\cdot x=200\)
\(\Rightarrow x=20\)
e) \(38\cdot x-12\cdot x-x\cdot16=40\)
\(\Rightarrow x\cdot\left(38-12-16\right)=40\)
\(\Rightarrow x\cdot10=40\)
\(\Rightarrow x=40:10\)
\(\Rightarrow x=4\)
a) (14 × 27) :7 = 378 : 7 = 54
(14 × 27) : 7 = 14 : 7 × 27
= 2 × 27 = 54
b) (25 × 24) :6 = 600: 6 = 100
(25 × 24) :6 = 25 × 24 : 6
= 25 × 4 = 100
a) \(17-\left(-9\right)-27-19\\ =17+9-27-19\\ =\left(17-27\right)+\left(9-19\right)\\ =\left(-10\right)+\left(-10\right)=-20\)
b) \(3\cdot\left(-9\right)+9\\ =\left(-3\right)\cdot9+9\\ =9\left(-3+1\right)\\ =9\cdot\left(-2\right)=-18\)
c) \(-\left(-24\right)+\left(-37\right)-25+14\\ =24-37-25+14\\ =\left(24+14\right)-\left(37+25\right)\\ =38-62=-24\)
d) \(\left(-7\right)\cdot5-9\cdot\left(-4\right)-105\\ =\left(-7\right)\cdot5-9\cdot\left(-4\right)-21\cdot5\\ =5\left(-7-21\right)-\left(-36\right)\\ =5\cdot\left(-28\right)+36\\ =-140+36=-104\)
e) \(\left(-7\right)^2+32\div\left(-8\right)\\ =49+\left(-4\right)\\ =45\)
f) \(\left(-2\right)^2-36\div\left(-6\right)-\left|-7\right|\\ =4-\left(-6\right)-7\\ =4+6-7\\ =10-7=3\)
a) (-37) + 14 + 26 + 37
= [(-37) + 37] + (14 + 26)
= 0 + 40 = 40
b) (-24) + 6 + 10 + 24
= [(-24) + 24] + (10 + 6)
= 0 + 16 = 16
c) 15 + 23 + (-25) + (-23)
= [15 + (-25)] + [23 + (-23)]
= (-10) + 0 = -10
d) 60 + 33 + (-50) + (-33)
= [60 + (-50)] + [33 + (-33)]
= 10 + 0 = 10
e) (-16) + (-209) + (-14) + 209
= [(-16) + (-14)] + [(-209) + 209]
= (-30) + 0 = -30
f) \(-3^2+\left(-54\right)\div\left[\left(-2\right)^8+7\right]\times\left(-2\right)^2\\ =\left(-9\right)+\left(-54\right)\div263\times4\\ =\left(-9\right)+\dfrac{-216}{263}=\dfrac{-2583}{263}\)
a. \(\left[\left(-37\right)+37\right]+\left(14+16\right)\) = 30
B. \(\left[\left(-24\right)+24\right]+\left(10+6\right)\) = 16
C. \(\left[\left(-23\right)+23\right]+\left(15-23\right)\)= -8
d. \(\left[33-33\right]+\left(60-50\right)\) = 10
e. \(\left(209-209\right)+\left(-16-14\right)\)= -30
\(a,C1:\left(75+25\right):5=100:5=20\\ C2:\left(75+25\right):5=75:5+25:5=15+5=20\)
\(b,C1:\left(84-24\right):4=60:4=15\\ C2\left(84-24\right):4=84:4-24:4=21-6=15\)
\(c,C1:\left(123+456\right):3=579:3=193\\ C2:\left(123+456\right):3=123:3+456:3=41+152=193\)
\(d,C1:\left(936-306\right):6=630:6=105\\C2:\left(936-306\right) :6=936:6-306:6=156-51=105\)
a,(75 + 25) : 5
C1: 100 : 5 = 20
C2: 75 : 5 + 25 : 5 = 15 + 5 = 20
b,(84 - 24) : 4
C1: 60 : 4 = 15
C2: 84 : 4 - 24 : 4 = 21 - 6 = 15
c,(123 + 456) : 3
C1: 579 : 3 = 193
C2: 123 : 3 + 456 : 3 = 41 + 152 = 193
d,(936 - 306) : 6
C1: 630 : 6 = 105
C2: 936 : 6 - 306 : 6 = 156 - 51 = 105
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19*0*20*21*22*23*24*25*26*27*28*29*30*31*32=0
A = ((20 + 1) . 20 : 2) . 2 = 420
B = (25 + 20) . 6 : 2 = 135
C = ( 33 + 26) . 8 : 2 = 236
D = (1 + 100) .100 : 2 = 5050
a) ( 14 x 27 ) : 7
C1 = 378 : 7
= 54
C2 ( 14 x 27 ) : 7
= 14 : 7 x 27
= 2 x 27
= 54
b) ( 25 x 24 ) : 6
C1 : = 600 : 6
= 100
C2 : ( 25 x 24 ) : 6
= 24 : 6 x 25
= 4 x 25
= 100
c) ( 32 x 24 ) : 4
C1 : = 768 : 4
= 192
C2 : ( 32 x 24 ) : 4
= 32 : 4 x 24
= 8 x 24
= 192