Bài 171 trang 67 SGK Toán 6 tập 2

Tính giá trị các biểu thức sau:

\(A = 27 + 46 + 79 + 34 + 53;\)

\(B = - 377 - (98 - 277)\)

\(C = - 1,7× 2,3 + 1,7× (- 3,7) - 1,7×3 - 0,17:0,1\)

\(\displaystyle D = 2{3 \over 4}.\left( { - 0,4} \right) - 1{3 \over 5}.2,75 + \left( { - 1,2} \right):{4 \over {11}}\)

\(E = \displaystyle {{\left( {{2^3}.5.7} \right)\left( {{5^2}{{.7}^3}} \right)} \over {{{\left( {{{2.5.7}^2}} \right)}^2}}}\)

Lời giải

\( \displaystyle A = 27 + 46 + 79 + 34 + 53 \)\( \displaystyle = (27 + 53)  +  (46 + 34) + 79 \)\( \displaystyle = 80 + 80 + 79 = 239\)

\( \displaystyle B = - 377 - (98 - 277)\)

   \( \displaystyle = - 377 - 98 + 277\)

   \( \displaystyle =  - 475 + 277\)

   \( \displaystyle = - (475 - 277)\) 

   \( \displaystyle =           -198\)

\( \displaystyle C = - 1,7× 2,3 + 1,7.× (- 3,7)\)\( \displaystyle - 1,7×3 - 0,17:0,1\)

  \( \displaystyle = - 1,7× 2,3 + 1,7.× (- 3,7) \)\( \displaystyle - 1,7×3 - 0,17.10\)

 \( \displaystyle = - 1,7× 2,3 + 1,7.× (- 3,7)\)\( \displaystyle - 1,7×3 - 1,7\)

  \( \displaystyle = 1,7. (-2,3 – 3,7 – 3 – 1)\)

  \( \displaystyle = 1,7 . (-10)  \)

  \( \displaystyle =  -17.\)

\( \displaystyle D=2{3 \over 4}.\left( { - 0,4} \right) - 1{3 \over 5}.2,75 \)\(\displaystyle + \left( { - 1,2} \right):{4 \over {11}}\)

   \( \displaystyle ={{11} \over 4}.{{ - 4} \over {10}} - {8 \over 5}.{{11} \over 4} + {{ - 6} \over 5}.{{11} \over 4}\)

   \( \displaystyle ={{11} \over 4}.\left( {{{ - 4} \over {10}} - {8 \over 5} + {{ - 6} \over 5}} \right)\)

   \( \displaystyle  = {{11} \over 4}.{{ - 2 - 8 - 6} \over 5}\)

   \( \displaystyle  = {{11} \over 4}.{{ - 16} \over 5}\)

   \( \displaystyle  = {{ - 44} \over 5}\) 

\( \displaystyle E = {{\left( {{2^3}.5.7} \right)\left( {{5^2}{{.7}^3}} \right)} \over {{{\left( {{{2.5.7}^2}} \right)}^2}}}\)

   \( \displaystyle = {{{2^3}{{.5}^3}{{.7}^4}} \over {{2^2}{{.5}^2}{{.7}^4}}}\)

     \( \displaystyle = 2.5\)

     \( \displaystyle = 10\)


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