question_answer

Simplify: \[118-\left[ 121\div \left( 11\times 11 \right)-\left( -4 \right)-\left\{ 3-\overline{9-2} \right\} \right]\]

Answer:

We have \[118-\left[ 121-\left( 11\times 11 \right)-\left( -4 \right)-\{3-\overline{9-2}\text{ }\} \right]\] \[=118\div \left[ 121-\left( 11\times 11 \right)-\left( -4 \right)-\{3-7\} \right]\] \[=118\div \left[ 121-121-\left( -4 \right)-\{3-7\} \right]\]                                                                               \[=118-\left[ 1-\left( -4 \right)-\{-4\} \right]\] \[=118-\left[ 1+4+4 \right]\] \[=118-9\] = 109