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\(a,\dfrac{2}{7}+\dfrac{5}{7}.\dfrac{7}{10}-\dfrac{1}{14}\)
\(=\dfrac{1}{7}.2+\dfrac{1}{7}.5.\dfrac{7}{10}-\dfrac{1}{7}.\dfrac{1}{2}\)
\(=\dfrac{1}{7}.\left(2+\dfrac{35}{10}-\dfrac{1}{2}\right)\)
\(=\dfrac{1}{7}.\left(\dfrac{4}{2}+\dfrac{7}{2}-\dfrac{1}{2}\right)\)
\(=\dfrac{1}{7}.5=\dfrac{5}{7}\)
\(b,\left(3\dfrac{1}{2}-\dfrac{2}{3}\right).\dfrac{7}{34}-\dfrac{5}{34}\)
\(=\left(\dfrac{7}{2}-\dfrac{2}{3}\right).\dfrac{7}{34}-\dfrac{7}{34}.\dfrac{5}{7}\)
\(=\dfrac{7}{34}.\left(\dfrac{17}{6}-\dfrac{5}{7}\right)\)
\(=\dfrac{7}{34}.\dfrac{89}{42}=\dfrac{89}{204}\)
a: =2/7-1/14+5/10
=2/7-1/14+1/2
=4/14-1/14+7/14
=10/14=5/7
b: =(7/2-2/3)*7/34-5/34
\(=\dfrac{21-4}{6}\cdot\dfrac{7}{34}-\dfrac{5}{34}\)
\(=\dfrac{7}{6}\cdot\dfrac{1}{2}-\dfrac{5}{34}=\dfrac{7}{12}-\dfrac{5}{34}=\dfrac{89}{204}\)
a) $18\cdot7-8\cdot7$
$=7\cdot(18-8)$
$=7\cdot10$
$=70$
b) $(-15)-14+(-85)$
$=[(-15)+(-85)]-14$
$=(-100)-14$
$=-114$
c) $(39-19):(-2)+(34-22)\cdot5$
$=20:(-2)+12\cdot5$
$=(-10)+60$
$=50$
d) $75-(3\cdot5^2-25\cdot5^2)$
$=75-(3\cdot25-25\cdot25)$
$=75-(75-625)$
$=75-75+625$
$=625$
d) $75-(3\cdot5)=75-15=60$
bài 1 tính
`a, 45 + 128 + 55 - 28 `
`=(45 +55)+(128-28)`
`=100+ 100`
`=200`
`b, 2022.194 - 2022.94 - 2200`
`=2022.(194-94)-2200`
`=2022.100-2200`
`=202200-2200`
`=200000`
`c, 2^3 .2 -3^4 :3^2`
`=2^(3+1) - 3^(4:2)`
`=2^4 - 3^2`
`=16-9`
`=7`
`d, 560 : { 130 - [( 5 . 14 - 65 ) . 3 + 3 ]}`
`= 560 : { 130 - [(70-65) . 3 + 3 ]}`
`= 560 : [ 130 - (5 . 3 + 3 )]`
`= 560 : [ 130 - (15+3) ]`
`= 560 :(130-18)`
`=560: 112`
`=5`
a, (43 - 13).(-3) + 27.(-14 - 16)
= 30.(-3) + 27.(-30)
= - 30.(3 + 27)
= -30.30
= -900
b, (-72).(34 -12) - 34.(12 - 72)
= -72.34 + 72.12 - 34.12 + 34.72
= (-72.34 + 34.72) + 12.(72 - 34)
= 12.38
= 456
1: \(=\dfrac{-5}{8}\cdot\dfrac{15}{4}=-\dfrac{75}{32}\)
2: \(=\dfrac{15}{17}\cdot\dfrac{25}{34}=\dfrac{375}{578}\)
3: \(=-12\cdot\dfrac{8}{3}=-4\cdot8=-32\)
4: \(=\dfrac{15}{14}\cdot\dfrac{20}{21}=\dfrac{50}{49}\)
5: \(=48\cdot\dfrac{24}{5}=230.4\)
a. - (- 94) + (67 - x) : 2 = (- 34 - 14)
b. 73 - (- 20 + 37) = x - (57 - 39)
c. - (- 34 - 23) = x + 37
\(a,-\left(-94\right)+\left(67-x\right):2=\left(-34-14\right)\)
\(94+67-x:2=-48\)
\(161-x:2=-48\)
\(x:2=209\)
\(x=\frac{209}{2}\)
(-34)+(-14)+34
=(-48)+34
=(-14)
= -20 + 34
= 14