l) 48 - 2[125 : 5 - (8 - 36 : 6)] . 2 =
m) 100 - {2[25 - (27 : 9 + 24 - 7)]} : 2 =
n) 648 : [6 . 6 - (16 : 4 + 8)] [5] =

Question

Accepted Answer

Let's solve the expressions step by step.

### Expression l:
$$ 48 - 2[125 \div 5 - (8 - 36 \div 6)] \cdot 2 $$

1. Calculate inside the innermost parentheses: $ 36 \div 6 = 6 $.
2. Now, $ 8 - 6 = 2 $.
3. Calculate $ 125 \div 5 = 25 $.
4. Substitute back: $ 48 - 2[25 - 2] \cdot 2 $.
5. Simplify inside the brackets: $ 25 - 2 = 23 $.
6. Multiply: $ 2 \times 23 = 46 $.
7. Finally: $ 48 - 46 \cdot 2 $.
8. Multiply: $ 46 \times 2 = 92 $.
9. Subtract: $ 48 - 92 = -44 $.

**Answer for l:** $-44$

### Expression m:
$$ 100 - \{2[25 - (27 \div 9 + 24 - 7)]\} \div 2 $$

1. Calculate inside the innermost parentheses: $ 27 \div 9 = 3 $.
2. Add and subtract: $ 3 + 24 - 7 = 20 $.
3. Substitute back: $ 100 - \{2[25 - 20]\} \div 2 $.
4. Simplify inside the brackets: $ 25 - 20 = 5 $.
5. Multiply: $ 2 \times 5 = 10 $.
6. Divide: $ 10 \div 2 = 5 $.
7. Finally: $ 100 - 5 = 95 $.

**Answer for m:** $95$

### Expression n:
$$ 6\{48 \div [6 \cdot 6 - (16 \div 4 + 8)]\} \div 5 $$

1. Calculate inside the innermost parentheses: $ 16 \div 4 = 4 $.
2. Add: $ 4 + 8 = 12 $.
3. Substitute back: $ 6\{48 \div [6 \cdot 6 - 12]\} \div 5 $.
4. Multiply: $ 6 \times 6 = 36 $.
5. Subtract: $ 36 - 12 = 24 $.
6. Divide: $ 48 \div 24 = 2 $.
7. Multiply: $ 6 \times 2 = 12 $.
8. Finally: $ 12 \div 5 = 2.4 $.

**Answer for n:** $2.4$

l) 48 - 2[125 : 5 - (8 - 36 : 6)] . 2 = m) 100 - {2[25 - (27 : 9 + 24 - 7)]} : 2 = n) 648 : [6 . 6 - (16 : 4 + 8)] [5] =

Perguntas relacionadas