Arithmetic Evaluation
1. Evaluate $24 - (7 + 4)$:
Calculate inside parentheses first: $7 + 4 = 11$
Then subtract: $24 - 11 = 13$
2. Evaluate $3 \times (2^3 - 1) - 17$:
Calculate power: $2^3 = 8$
Subtract inside parentheses: $8 - 1 = 7$
Multiply: $3 \times 7 = 21$
Subtract: $21 - 17 = 4$
3. Evaluate $81 \div (5 + 4)$:
Calculate inside parentheses: $5 + 4 = 9$
Divide: $81 \div 9 = 9$
4. Evaluate $48 - (4 \times 3^2) - 4$:
Calculate power: $3^2 = 9$
Multiply: $4 \times 9 = 36$
Subtract stepwise: $48 - 36 = 12$, then $12 - 4 = 8$
5. Evaluate $7^2 \div 7 + 0 \div 13$:
Calculate power: $7^2 = 49$
Divide first term: $49 \div 7 = 7$
Divide second term: $0 \div 13 = 0$
Add: $7 + 0 = 7$
6. Evaluate $2 \times (2 + 5 + 8) - 24$:
Sum inside parentheses: $2 + 5 + 8 = 15$
Multiply: $2 \times 15 = 30$
Subtract: $30 - 24 = 6$
7. Evaluate $\frac{10^2 - 10}{9} - 9$:
Calculate power: $10^2 = 100$
Subtract numerator: $100 - 10 = 90$
Divide: $90 \div 9 = 10$
Subtract: $10 - 9 = 1$
8. Evaluate $\frac{8 + 2}{10} + 2$:
Sum numerator: $8 + 2 = 10$
Divide: $10 \div 10 = 1$
Add: $1 + 2 = 3$
9. Evaluate $\frac{17 - 5}{22 - 10} + 1$:
Subtract numerator: $17 - 5 = 12$
Subtract denominator: $22 - 10 = 12$
Divide: $12 \div 12 = 1$
Add: $1 + 1 = 2$