tính nhanh biểu thức sau :
24 x 34 + 24 x 34 + 24 x 37
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a)5x5+5x3+5x2-10x5
5x(5+3+2-10)
5x1=5
b)(24+6x5+6)-(12+6x3)
6x(4+5+1)-[6x(2+3)]
60-30=30
c)23+39+37+21+34+26
(23+37)+(39+21)+(34+26)
60+60+60=60x3=180
`a) 48048 - 48048 : 24 - 24 x 58 `
` = 48048 - 2002- 1392`
` = 46046 - 1392`
` = 44654`
b) 10000 - ( 93120 : 24 - 24 x 57 )
` = 10000 - ( 3880 - 1368)`
` = 10000 - 2512`
` = 7488`
c) 100798 - 9894 : 34 x 23 - 23 =
` = 100798 - 6693 -23`
` = 94082`
a/ M = (71+x)-(-24+x)+(-35-x) = 71 + x + 24 - x - 35 - x = (71 + 24 - 35) - x = 95 - 35 - x = 60 - x
b/ N=x-34-[(15+x)-(23-x)] = x - 34 - (15 + x - 23 + x) = x - 34 - (-8 + 2x) = x - 34 + 8 - 2x = -26 - x
\(a,M=\left(71+x\right)-\left(-24+x\right)+\left(-35-x\right)\)
\(=71+x+24-x-35-x\)
\(=60-x\)
\(b,N=x-34-\left[\left(15+x\right)-\left(23-x\right)\right]\)
\(=x-34-\left(15+x-23+x\right)\)
\(=x-34-15-x+23-x\)
\(=-26-x\)
\(A=\frac{34}{7.13}+\frac{51}{13.22}+\frac{85}{22.37}+\frac{68}{37.49}\)
\(=\frac{17.2}{7.13}+\frac{17.3}{13.22}+\frac{17.5}{22.37}+\frac{17.4}{37.49}\)
\(=17\left(\frac{2}{7.13}+\frac{3}{13.22}+\frac{5}{22.37}+\frac{4}{37.49}\right)\)
\(=\frac{17}{3}\left(\frac{6}{7.13}+\frac{9}{13.22}+\frac{15}{22.37}+\frac{12}{37.49}\right)\)
\(=\frac{17}{3}\left(\frac{1}{7}-\frac{1}{13}+\frac{1}{13}-\frac{1}{22}+...+\frac{1}{37}-\frac{1}{49}\right)\)
\(=\frac{17}{3}\left(\frac{1}{7}-\frac{1}{49}\right)\)\(=\frac{17}{3}.\frac{6}{49}=\frac{17.2}{49}=\frac{34}{49}\)
Có : \(\frac{17}{24}=\frac{34}{48}\)
Vì 48 < 49 => \(\frac{34}{48}>\frac{34}{49}\). Hay \(\frac{17}{24}>A\)
1a) -54 . 76 + 12 .(-76) + 76.(-34)
= (-54 - 12 - 34).76
= -100 . 76
= -176
b) 37.(63 - 24) - 63.(24 + 37)
= 37 . 63 - 37 . 24 - 63.24 - 63 . 37
= (37.63 - 63.37) - (37 + 63) . 24
= 0 - 100 . 24
= - 2400
2a) x + (-27) = -23 - x
=> x + x = -23 + 27
=> 2x = 4
=> x = 4 : 2
=> x = 2
b) xy + 2x - y = 15
=> x(y + 2) - y = 15
=> x(y + 2) - (y + 2) = 13
=> (x - 1)(y + 2) = 13 = 1 . 13 = 13 . 1
Lập bảng :
x - 1 | 1 | -1 | 13 | -13 |
y + 2 | 13 | -13 | 1 | -1 |
x | 2 | 0 | 14 | -12 |
y | 11 | -15 | -1 | -3 |
Vậy ...
a) ( 71 + x ) - ( -24 - x ) + ( -35 - x )
= 71 + x + 24 + x - 35 - x
= ( 71 + 24 - 35 ) + ( x + x - x )
= 60 + x
b) x - 34 - [( 15 + x ) - ( 23 - x )]
= x - 34 - ( 15 + x - 23 + x )
= x - 34 - ( 15 - 23 + x2 )
= x - 34 - ( - 8 + 2x )
= x - 34 + 8 - 2x
= x - 2x + 8 - 34
= -x - 26
c) ( -15 + |x| ) + ( -25 - |x| )
= -15 + |x| - 25 + |x|
= -15 - 25 + x + x
= -40 + x2
a)(71+x)-(-24-x)+(-35-x)
=>71+x+24+x-35-x
=>60+x
b)x-34-[(15+x)-(23-x)]
=>x-34-(15+x-23+x)
=>x-34-15-x+23-x
=-x-26
a/ (71+x) - [(-24) - x] + [(-35) - x ]=71+x+24+x-35-x=x+60
b/ x - 34 - [(15 + x) - (23 - x)]=x-34-15-x-23+x=x-72
c/ 26 - [(-x) + 126 - 13) + [(-113) + x]=26+x-126+13-113+x=2x-200=2(x-100)
24 x 34 + 24 x 34 + 24 x 37
=24 x ( 34 + 34 + 37 )
= 24 x 100
= 2400