a )( x + 24 ) . 32 = 36
b) ( 3x + 24) . 4 = 148
c ) ( x - 23) . 32 = 72
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a) 23 + 25 + 27 + 29 + 31 + 33 + 35
= 23 + ( 25 + 35 ) + ( 27 + 33 ) + ( 29 + 31 )
= 23 + 60 + 60 + 60
= 23 + 60 x 3
= 23 + 180
= 203
b) 4 . 36 . 25 . 50
= 4 . 4 .9 . 25 . 25 . 2
= 4 . 25 . 4 . 25 . 9 . 2
= 100 . 100 . 9 . 2
= 10 000 . 18
= 180 000
c) 32 . 125 . 3
= 4 . 8 . 5 . 25 . 3
= 4 . 25 . 8 . 5 . 3
= 100 . 8 . 5 . 3
= 800 . 5 . 3
= 4000 . 3
= 12000
d, 36 . 19 + 36 . 81
= 36 . ( 19 + 81 )
= 36 . 100
= 3600
e, 78 . 31 + 78 . 24 + 78 . 17 + 22 x 72
= 78 . ( 31 + 24 + 17 ) + 22 x 72
= 78 . 72 + 22 . 72
= 72 . ( 78 + 22 )
= 72 . 100
= 7200
A)23+25+27+29+31+33+35
= (33+27)+(25+35)+(29+31)+23
=60+60+60+23
=60x3+23
=180+23
=203
B)4.36.25.50=(36.25).(4.50)
=(4.9.25).(2.2.50)
=(4.25).9 .(2.50).2
=100.9.100.2
=100.(9+2)
=100 .11
=1100
C)32.125.3=(4.8).125.3
=(125.8).(4.3)
=1000.12
=12000
D)36.19.36.81=36.(19+81)
= 36.100
=3600
E)78.31.+78.24+78.17+22x72=78.31+78.24+78.17+ (16+6).72
=78.31+78.24+78.17+78.16
=78.(31+24+17+16)
=78.88
=6864
C1:
a. 786 x ( 32 +68)
= 786 x 100
= 78600
b. 2904 x 15 + 2904 x 35
= 43560 + 101640
= 145200
c.436 x 72 - 436 x 42
= 31392 - 18312
= 13080
d.194 x (87-7)
= 194 x 80
=15520
e.3332 : (4x49)
= 3332 : 196
= 17
f. 72 : 9 : 8
= (72 : 9) :8
= 1
g. (15 x 24) : 6
= 360 :6
= 60
m. 25 x(36 :9)
= 25 x 4
= 100
Cách 2:
a.786 x 32 + 786 x 68
= 25152 + 53448
= 78600
b. 2904 x ( 15 + 35)
= 2904 x 50
= 145200
c.436 x (72 -42)
= 436 x 30
= 13080
d.194 x 87 - 194 x7
= 16878 - 1358
= 15520
e. 3332 : (4 x 49)
= 3332 : 4 : 49
= 833 : 49 = 17
f. 72 : 9 :8
= 72 : (9 x8)
= 72 : 72
=1
g. (15 x 24) :6
= 15 x (24 :6)
= 15 x 4
= 60
m. 25 x (36 :9)
= ( 25 x36 ):9
= 900 : 9
=100
2.
a, x-13=-46
=>x=(-46)+13
=>x=33
b, 4x-6=22
=>4x=22+6
=>4x=28
=>x=28:4
=>x=7
3.
a, 32=25
48=24.3
=>ƯCLN(32,48)=24=16
16=24
72=23.32
=>ƯCLN(16,72)=23=8
b,
24=23.3
60=22.3.5
=>BCNN(24,60)=23.3.5=120
72=23.32
180=22.32.5
=>BCNN(72,180)=23.32.5=360
bài 2 tìm x
a,106- ( x+ 7) =9
x+7 = 106 - 9
x+7 = 107
x= 107 - 7
x=100
b, 2 x ( x+ 4) + 5 =65
2 x (x+4) = 65 - 5
2 x (x+4) = 60
x+4 = 60:2
x+4= 30
x= 30 - 4
x=26
c, (16x x -32) x 45=0
16 x X - 32 = 0: 45
16 x X - 32 =0
16 x X = 0 + 32
16 x X = 32
X= 32:16
X=2
d, x+4 x x = 100 : 5
X + 4 x X = 20
(1+4) x X = 20
5 x X = 20
X= 20:5
X=4
18 - 4\(x\) = -20 - 6\(x\)
-4\(x\) + 6\(x\) = - 20 - 18
2\(x\) = - 38
\(x\) = - 19
h, -15 \(\times\) 24 = -7\(x\) + 32
7\(x\) = 360 + 32
7\(x\) = 392
\(x\) = 392:7
\(x\) = 56
i, 15\(x\) -3.(4\(x\) - 6) = -12 + 36
15\(x\) - 12\(x\) + 18 = 24
3\(x\) = 24 - 18
3\(x\) = 6
\(x\) = 2
k, -10\(x\) - 27 = -7\(x\) + 33
-27 - 33 = -7\(x\) + 10\(x\)
3\(x\) = -60
\(x\) = -20
tìm số tự nhiên x lớn nhất biết
a, 24 : x , 36 : x
b , 32 : x , 48 : x
c , 24 : x , 84 : x , 180 : x
a) 24 = 23 . 3
36 = 22 . 33
ƯCLN(24,36) = 22 . 3 = 4 . 3 = 12
b) 32 = 25
48 = 24 . 3
ƯCLN(32,48) = 24 = 16
c) 24 = 23 . 3
84 = 22 . 3 . 7
180 = 22 . 32 . 5
ƯCLN(24,84,180) = 22 . 3 = 4 . 3 = 12
1)
a) 2x + 5 = 3⁴ : 3²
2x + 5 = 3²
2x + 5 = 9
2x = 9 - 5
2x = 4
x = 4 : 2
x = 2
b) (3x - 24).73 = 2.74
(3x - 24).73 = 148
3x - 24 = 148/73
3x = 148/73 + 24
3x = 1900/73
x = 1900/73 : 3
x = 1900/219
c) [3.(42 - x)] + 15 = 23.3
126 - 3x + 15 = 69
141 - 3x = 69
3x = 141 - 69
3x = 72
x = 72 : 3
x = 24
d) 126 + (132 - x) = 300
132 - x = 300 - 126
132 - x = 174
x = 132 - 174
x = -42
2)
a) 120 - (x + 55) = 60
x + 55 = 120 - 60
x + 155 = 60
x = 60 - 55
x = 5
b) (7x - 11).3 = 25.52 + 200
(7x - 11).3 = 1500
7x - 11 = 1500 : 3
7x - 11 = 500
7x = 500 + 11
7x = 511
x = 511 : 7
x = 73
c) 2x + 2x + 4 = 544
4x = 544 - 4
4x = 540
x = 540 : 4
x = 135
(3x+24).4=148
3x+24=148:4=37
3x=37-24=13
x=13/3
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