Bài 1:Thực hiện phép tính a) -18/27 – 235/971 + 16/24 – 736/971 + 1^2022 c) 24/-36 . 12/19 - 4/6 . 7/19 + 2022^0 Bài 2: Tìm x, biết a) ( x + 3/4 ) . 50% = (-1)^2022 b) x : -22/-33 - 1/2 = 5/6 Mong được giúp ạ!

2 câu trả lời

Đáp án:

$\begin{array}{l}
1)a)\dfrac{{ - 18}}{{27}} - \dfrac{{235}}{{971}} + \dfrac{{16}}{{24}} - \dfrac{{736}}{{971}} + {1^{2022}}\\
 = \dfrac{{ - 2}}{3} - \left( {\dfrac{{235}}{{971}} + \dfrac{{736}}{{971}}} \right) + \dfrac{2}{3} + 1\\
 = \left( { - \dfrac{2}{3} + \dfrac{2}{3}} \right) - \dfrac{{971}}{{971}} + 1\\
 = 0 - 1 + 1\\
 = 0\\
c)\dfrac{{24}}{{ - 36}}.\dfrac{{12}}{{19}} - \dfrac{4}{6}.\dfrac{7}{{19}} + {2022^0}\\
 =  - \dfrac{2}{3}.\dfrac{{12}}{{19}} - \dfrac{2}{3}.\dfrac{7}{{19}} + 1\\
 =  - \dfrac{2}{3}.\left( {\dfrac{{12}}{{19}} + \dfrac{7}{{19}}} \right) + 1\\
 =  - \dfrac{2}{3}.1 + 1\\
 = 1 - \dfrac{2}{3}\\
 = \dfrac{1}{3}\\
B2)\\
a)\left( {x + \dfrac{3}{4}} \right).50\%  = {\left( { - 1} \right)^{2022}}\\
 \Leftrightarrow \left( {x + \dfrac{3}{4}} \right).\dfrac{1}{2} = 1\\
 \Leftrightarrow x + \dfrac{3}{4} = 2\\
 \Leftrightarrow x = 2 - \dfrac{3}{4}\\
 \Leftrightarrow x = \dfrac{5}{4}\\
Vậy\,x = \dfrac{5}{4}\\
b)x:\dfrac{{ - 22}}{{ - 33}} - \dfrac{1}{2} = \dfrac{5}{6}\\
 \Leftrightarrow x:\dfrac{2}{3} = \dfrac{5}{6} + \dfrac{1}{2}\\
 \Leftrightarrow x:\dfrac{2}{3} = \dfrac{4}{3}\\
 \Leftrightarrow x = \dfrac{4}{3}.\dfrac{2}{3}\\
 \Leftrightarrow x = \dfrac{8}{9}\\
Vậy\,x = \dfrac{8}{9}
\end{array}$

Đáp án + Giải thích các bước giải:

 `Bài 1:` Thực hiện phép tính

`a)    -18/27 – 235/971 + 16/24 – 736/971 + 1^2022`

`=    -2/3 – 235/971 + 2/3 – 736/971 + 1`

`=    (-2/3 + 2/3)-( 235/971  + 736/971) + 1`

`=    -971/971 + 1`

`=    -1 + 1=0`

`c)  24/-36 . 12/19 - 4/6 . 7/19 + 2022^0`

`=  -2/3 . 12/19 - 2/3 . 7/19 + 1`

`=  -2/3 . (12/19 + 7/19) + 1`

`=  -2/3 . 1 + 1= -2/3 +1 = 1/3`

`Bài 2:`  Tìm `x`, biết
`a) ( x + 3/4 ) . 50% = (-1)^2022`
` <=>  ( x + 3/4 ) . 50/100 = 1`
` <=>  ( x + 3/4 ) . 1/2 = 1`
` <=>  x + 3/4  = 1 : 1/2 = 1×2=2`
` <=>  x  = 2 - 3/4 = 5/4`

`b) x : -22/-33 - 1/2 = 5/6`
`<=> x : 2/3 - 1/2 = 5/6`
`<=> x : 2/3  = 5/6 + 1/2`
`<=> x : 2/3  = 4/3`
`<=> x   = 4/3× 2/3 = 8/9`

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