Question

(1 điểm) Thực hiện các phép tính:

a) $0,75+\dfrac{9}{5}\left(1,5-\dfrac{2}{3}\right)^2$

b) $\dfrac{-22}{25}+\left(\dfrac{22}{7}-0,12\right)$

Answer 1

   0,75 + \(\dfrac{9}{5}\) ( 1,5 - \(\dfrac{2}{3}\) )²

= 0,75 + \(\dfrac{9}{5}\) ( \(\dfrac{3}{2}\) - \(\dfrac{2}{3}\))²

= 0,75 + \(\dfrac{9}{5}\) (\(\dfrac{5}{6}\))²

= 0,75 + \(\dfrac{5}{4}\)

= 0,75 + 1,25

= 2 

\(\dfrac{-22}{25}\) + ( \(\dfrac{22}{7}\) - 0,12)

= \(\dfrac{-22}{25}\) + ( \(\dfrac{22}{7}\) - \(\dfrac{3}{25}\))

= \(\dfrac{-22}{25}\) + \(\dfrac{22}{7}\) - \(\dfrac{3}{25}\)

= - ( \(\dfrac{22}{25}\) + \(\dfrac{3}{25}\)) + \(\dfrac{22}{7}\)

= -1 + \(\dfrac{22}{7}\)

= \(\dfrac{-7}{7}\) + \(\dfrac{22}{7}\)

= \(\dfrac{15}{7}\)

Answer 2

a; 0,75 +9/5(1,5 - 2,3) = 

Answer 3

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Answer 4

a) 3/4 + 9/5(3/2-2/3)^2

=3/4 +9/5.5/6^2

=3/4+9/5.25/36

=3/4+5/4

=2

b) -22/25+(22/7-0,12)

=-22/25+(22/7-3/25)

-22/25+529/175

=15/7

Answer 5

a,0,75+9/5(1,5-2/3)^2=                                                     b,-22/25+(22/7-0,12)=

=0,75+1,8(3/2-2/3)^2                                                         =-22/25+529/175

=0,75+1,8(5/6)^2                                                               =15/7

=3/4+9/5.25/36

=3/4+5/4=2

Answer 6

a) 0,75+9/5.(1,5- 2/3)² 

= 0,75 + 9/5. 0,8(3)²

^{=0,75 + 9/5 . 0,69(4)}

^{=0,75 + 6,597(2)}

^=7,347(2)

Answer 7

a,0,75+9/5 (1,5-2/3)= 0,75 + 1,8 (3/2 - 2/3)= 0,75 + 1,8 x 5/6= 0,75 + 9/5 x 5/6= 0,75 + 4/3=3/4 + 4/3=9/12+16/12= 25/12

b, -22/25 + (22/7 - 0,12) = 0,88 + (3,14-0,12) = 0,88 + 3,02 = 3,9

Answer 8

a=2       b=15/7

Answer 9

a) \dfrac{3}{4}+\dfrac{9}{5}\left(\dfrac{3}{2}-\dfrac{2}{3}\right)^2=\dfrac{3}{4}+\dfrac{9}{5}\left(\dfrac{5}{6}\right)^2=\dfrac{3}{4}+\dfrac{9}{5} \cdot \dfrac{25}{36}=\dfrac{3}{4}+\dfrac{5}{4}=243​+59​(23​−32​)2=43​+59​(65​)2=43​+59​⋅3625​=43​+45​=2

b) \dfrac{-22}{25}+\left(\dfrac{22}{7}-0,12\right)  =\dfrac{-22}{25}+\left(\dfrac{22}{7}-\dfrac{12}{100}\right)=\dfrac{-88}{100}+\dfrac{22}{7}+\dfrac{-12}{100}  =\left(\dfrac{-88}{100}+\dfrac{-12}{100}\right)+\dfrac{22}{7}=-1+\dfrac{22}{7}=\dfrac{15}{7}25−22​+(722​−0,12) =25−22​+(722​−10012​)=100−88​+722​+100−12​  =(100−88​+100−12​)+722​=−1+722​=715​
 

 

Answer 10

\(\dfrac{ }{ }\)a) 0,75 +\(\dfrac{ }{ }\)

Answer 11

a) 2​

b) 15/7

 

Answer 12

a)2; b)15/7

 

 

Answer 13

a) 0,75 + 9/5(1,5 - 2/3)² = 3/4 + 9/5.(5/6)² = 2

Answer 14

1

 

Answer 15

a) 0,75 + \(\dfrac{9}{5}\) (1,5 - \(\dfrac{2}{3}\))\(^2\) = 0,75 + \(\dfrac{9}{5}\) (\(\dfrac{3}{2}\) - \(\dfrac{2}{3}\))\(^2\) =  0,75 + \(\dfrac{9}{5}\) \(\left(\dfrac{9}{6}-\dfrac{4}{6}\right)^2\)= 0,75 + \(\dfrac{9}{5}\)\(.\dfrac{5}{6}^2\)= 0,75 + \(\dfrac{9}{5}\)\(.\dfrac{25}{36}\)= 0,75 + \(\dfrac{5}{4}\) = \(\dfrac{3}{4}+\dfrac{5}{4}=\dfrac{8}{4}=\dfrac{2}{1}=2\)

b)\(\dfrac{-22}{25}+\left(\dfrac{22}{7}-0,12\right)\)\(=\dfrac{-22}{25}+\left(\dfrac{22}{7}-\dfrac{3}{25}\right)=\dfrac{-22}{25}+\left(\dfrac{550}{175}-\dfrac{21}{175}\right)=\dfrac{-22}{25}+\dfrac{529}{175}=\dfrac{-550}{175}+\dfrac{529}{175}=\dfrac{-21}{175}=\dfrac{-3}{25}\)

 

Answer 16

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Answer 17

a) 3/4 + 9/5 ( 3/2 - 2/3 )² = 3/4 +9/5 (5/6)² = 3/4 +9/5 . 25/36 = 3/4 + 5/4 = 2 

b)  -22/25 + ( 22/7 -0,12) = -22/25 + (22/7 - 12/100) = -88/100 + 22/7 + -12/100 = (-88/100 +-12/100)+22/7 = -1 +22/7 =15/7

 

 

Answer 18

a) 11/5 

b)15/7

 

Answer 19

hsgshsh

Answer 20

a,0,75+9/5(1,5-2/3)2                       =3/4+9/5(3/2-2/3)2                        =3/4+9/5(5/6)2                                 =3/4+9/5.25/36                              =3/4+5/4=8/4=2                                b,-22/25+(22/7-0,12)                        =-22/25+(22/7-12/100)                   =-88/100+22/7+-12/100                      =(-88/100+-12/100)+22/7           =-1+22/7=15/7

Answer 21

a)3/4+9/5(3/2-2/3)^2=3/4 +9/5( 9/6 - 4/6 )^2= 3/4+9/5(5/6)^2=3/4+9/5.25/36=3/4+5/4=8/4.       b)-22/25+(22/7-3/25)=-22/25+529/175=683/175

Answer 22

a)0,75 + 

Answer 23

nam

Answer 24

a) \(\dfrac{3}{4}+\dfrac{9}{5}\left(\dfrac{3}{2}-\dfrac{2}{3}\right)^2\)

\(=\dfrac{3}{4}+\dfrac{9}{5}\cdot\left(\dfrac{5}{6}\right)^2\)

\(=\dfrac{3}{4}+\dfrac{9}{5}\cdot\dfrac{25}{36}\)

\(=\dfrac{3}{4}+\dfrac{5}{4}\)

\(=\dfrac{8}{4}\)

\(=2\)

b) \(\dfrac{-22}{25}+\dfrac{22}{7}-\dfrac{3}{25}\)

\(=\dfrac{-22}{25}-\dfrac{3}{25}+\dfrac{22}{7}\)

\(=\dfrac{-25}{25}+\dfrac{22}{7}\)

\(=-1+\dfrac{22}{7}\)

\(=\dfrac{15}{7}\)

Answer 25

a) \(\dfrac{51}{20}\)*\(\dfrac{25}{36}\)=\(\dfrac{85}{48}\)

b) \(\dfrac{-22}{25}\)+\(\dfrac{520}{175}\)=\(\dfrac{366}{175}\)

Answer 26

a)1,75
b)15/7

Answer 27

a)=2

b)=15/7

Answer 28

a) 34+95(32−23)2=34+95(56)2=34+95⋅2536=34+54=243​+59​(23​−32​)2=43​+59​(65​)2=43​+59​⋅3625​=43​+45​=2

Answer 29

\(\dfrac{3}{4}\)+ \(\dfrac{9}{5}\).(\(\dfrac{3}{5}\)-

Answer 30