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a) 23,5 x 34 + 45 x 23,5 + 3 x 23,5 x 7
= 23,5 x (34 + 45 + 3 x 7)
= 23,5 x (34 + 45 + 21)
=23,5 x 100
= 235.
b) 126 x 56 + 252 x 0,5 x 35 + 42 x 3 x 9
= 42 x 3 x 56 + 126 x 35 + 42 x 3 x 9
= 42 x 168 + 42 x 3 x 35 + 42 x 3 x 9
= 42 x 168 + 42 x 105 + 42 x 27
= 42 x (168 + 105 + 27)
= 42 x 300
= 12600
a ) \(=\frac{35\cdot42}{5\cdot2}=\frac{7\cdot5\cdot2\cdot21}{5\cdot2}\)
\(=\frac{7\cdot21}{1}=147\)
b) \(=\frac{54\cdot35}{7\cdot9}\)
\(=\frac{6\cdot9\cdot7\cdot5}{7\cdot9}\)
\(=\frac{6\cdot5}{1}=30\)
42 x 3 + 18 x 32 + 18 x 61
= 6 x 7 x 3 + 18 x 32 + 18 x 61
= 18 x 7 + 18 x 32 + 18 x 61
= 18 x (7 + 32 + 61)
= 18 x 100
= 1800
\(42\times3+18\times32+18\times61\)
\(=6\times7\times3+18\times32+18\times61\)
\(=18\times7+18\times32+18\times61\)
\(=18\times\left(7+32+61\right)\)
\(=18\times100\)
\(=1800\)
= ( 1 + 3 + 5 + ... + 2011 ) - ( 2 + 6 + 8 + ... + 2010 )
= [ 1006 x ( 2011 + 1 ) : 2 ] - [ 1005 x ( 2010 + 2 ) : 2 ]
= ( 1006 x 2012 : 2 ) - ( 1005 x 2012 : 2 )
= ( 2024072 : 2 ) - ( 2022060 : 2 )
= 1012036 - 1011030
= 1006
A=\(\frac{2}{1}\cdot3+\frac{2}{3}\cdot5+\frac{2}{5}\cdot7+\frac{2}{7}\cdot9\)
A=\(\frac{3}{1}\cdot2+\frac{5}{3}\cdot2+\frac{7}{5}\cdot2+\frac{9}{7}\cdot2\)
A=\(2\cdot\left(3+\frac{5}{3}+\frac{7}{5}+\frac{9}{7}\right)\)
A=\(2\cdot\frac{772}{105}\)
A=\(\frac{1544}{105}\)
A=\(14\frac{74}{105}\)
`x : 5/2 = 7/3`
`=> x= 7/3 xx 5/2`
`=>x= 35/6`
__
`23,7 xx 49 +23,7 xx 51`
`= 23,7 xx (49+51)`
`= 23,7 xx 100`
`=2370`
Lời giải:
a.
$x=\frac{7}{3}\times \frac{5}{2}=\frac{35}{6}$
b.
$23,7\times 49+23,7\times 51=23,7\times (49+51)=23,7\times 100=2370$
\(a.32,5-3\cdot0,87=32,5-2,61=29,89\)
\(8,5\cdot\left(1\dfrac{1}{2}+\dfrac{4}{4}\right):5=8,5\cdot\left(\dfrac{3}{2}+\dfrac{4}{4}\right):5\\ =8,5\cdot\left(\dfrac{6}{4}+\dfrac{4}{4}\right):5\\ =8,5\cdot\dfrac{10}{4}:5\\ =\dfrac{85}{4}:5\\ =\dfrac{17}{4}\)
\(b.30,96-6,45+14,4:3=30,96-6,45+4,8\\ =29,31\)
\(\dfrac{2}{5}\cdot\left(\dfrac{4}{5}-\dfrac{1}{2}\right)=\dfrac{2}{5}\cdot\left(\dfrac{8}{10}-\dfrac{5}{10}\right)\\ =\dfrac{2}{5}\cdot\dfrac{3}{10}=\dfrac{3}{25}\)
bài 2
\(a.2,5\cdot12,5\cdot8\cdot0,4=\left(2,5\cdot0,4\right)\left(12,5\cdot8\right)\\ =1\cdot100=100\)
b,\(\dfrac{12}{15}\cdot\dfrac{5}{6}\cdot\dfrac{3}{20}\cdot\dfrac{32}{5}=\dfrac{12\cdot5\cdot3\cdot32}{15\cdot6\cdot20\cdot5}\\ =\dfrac{3\cdot4\cdot5\cdot3\cdot4\cdot8}{3\cdot5\cdot2\cdot3\cdot5\cdot4\cdot5}=\dfrac{16}{25}\)
Bài 1:
a) \(32.5-3\cdot0.87=32.5-2.61=29.89\)
\(8.5\cdot\left(1\dfrac{1}{2}+\dfrac{4}{4}\right):5=8.5\cdot\dfrac{5}{2}:5=\dfrac{17}{2}\cdot\dfrac{5}{2}:5=\dfrac{85}{4}\cdot\dfrac{1}{5}=\dfrac{17}{4}\)
1
a.2008+2009+2010+2011+2012
=(2008+2012)+(2009+2011)+2010
=2020+2020+2010
=4040+2010
=6050
b.17,75+4,64+7,63+2,25
=(17,75+2,25)+(4,64+7,63)
=20+12,27
=32,27
c.7/9+2/3+2/9+1
=(7/9+2/9)+1+2/3
=1+1+2/3
=2+2/3
=5/3
2.
a.12,3x2,5+2,5x27,7
=2,5x(12,3+27,7)
=2,5x40
=100
b.42x3+42x12-42x5
=42x(3+12-5)
=42x10
=420
c.13,8-4,24-5,76+2,2
=(13,8-2,2)-(5,76+4,24)
=11,4-10
=1,4
3.
a.Xx3,1+Xx6,9=30,4
X x (3,1+6,9)=30,4
=X x10=30,4
X=30,4:10
X=3,04
b.X:1,5+0,45=7,65
X:1,5=7,65-0,45
X:1,5=7,2
X=7,2x1,5
X=10,8
1 tinh bang cach thuan tien nhat
a ( 2008 +2012 ) + (2009+2011) + 2010
= 2020+ 2020+2010
=2050
b (17,75 +2,25 ) + 7,63+2,25
= 21+7,63+2,25
=30,88
7/9+2/3+2/9 +1
= (2/9 +7/9 ) + 2/3+ 1
= 1+ 2/3 + 1
= 2 và 2/3
2
= 2,5 x ( 12,3 + 27,7 )
= 2,5 x 40
=16
42 x ( 3+12 -5 )
= 42 x 10
= 420
( 13,8 +2,2 ) - 4,24-5,76
= 16 - 4,24-5,76
= 5
3 tim x
X * 3,1 + x * 6,9 = 30,4
x = 30,4 : ( 3,1+6,9 )
x= 30,4 ; 10
x= 3,04
b x: 1,5 + 0,,45 = 7,65
x= 7,65 x ( 1,5 + 1.45 )
x= 7.65 x 2,95
x=22,5675
minh nhanh nhat nha