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Câu hỏi:

12/03/2026 576 Lưu

(1,5 điểm) Thực hiện phép tính: a) 5 6 + 2 3 − 0 , 5. b) ( 2 3 : 1 2 ) . 1 8 + 1 9 . ( − 3 ) 2 − 1 . c) ( 2 3 − 1 6 ) 2 + 1 2 3 . | − 0 , 25 | − 3. √ 1 16 .

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Trả lời:

verified Giải bởi Vietjack

Hướng dẫn giải

a) \(\frac{5}{6} + \frac{2}{3} - 0,5\)

\( = \frac{5}{6} + \frac{2}{3} - \frac{1}{2}\)

\( = \frac{5}{6} + \frac{4}{6} - \frac{3}{6}\)

\( = \frac{6}{6}\)

\( = 1\).

b) \(\left( {{2^3}:\frac{1}{2}} \right).\frac{1}{8} + \frac{1}{9}.{\left( { - 3} \right)^2} - 1\)

\( = \left( {8 \cdot 2} \right) \cdot \frac{1}{8} + \frac{1}{9} \cdot 9 - 1\)

\( = 2 + 1 - 1\)

\( = 2.\)

c) \({\left( {\frac{2}{3} - \frac{1}{6}} \right)^2} + 1\frac{2}{3}.\left| { - 0,25} \right| - 3.\sqrt {\frac{1}{{16}}} \)

\( = {\left( {\frac{4}{6} - \frac{1}{6}} \right)^2} + \frac{5}{3} \cdot 0,25 - 3 \cdot \sqrt {{{\left( {\frac{1}{4}} \right)}^2}} \)

\( = {\left( {\frac{3}{6}} \right)^2} + \frac{5}{3} \cdot \frac{1}{4} - 3 \cdot \frac{1}{4}\)

\( = \frac{1}{4} + \frac{5}{3}.\frac{1}{4} - 3.\frac{1}{4}\)

\( = \frac{1}{4} \cdot \left( {1 + \frac{5}{3} - 3} \right)\)\( = \frac{1}{4}.\left( {\frac{5}{3} - 2} \right)\)

\( = \frac{1}{4}.\left( { - \frac{1}{3}} \right)\)\( = - \frac{1}{{12}}.\)