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`
