Gemdas Operations
1. Calculate $90 \div (3 \times 3) - 3^2$.
First, inside the parentheses: $3 \times 3 = 9$.
Then division: $90 \div 9 = 10$.
Find the square: $3^2 = 9$.
Now subtract: $10 - 9 = 1$.
Answer: $1$.
2. Calculate $8 \times 4 \div 2 + (15 \div 5) - 4^2$.
Calculate multiplication and division from left to right: $8 \times 4 = 32$, then $32 \div 2 = 16$.
Calculate inside parentheses: $15 \div 5 = 3$.
Calculate the square: $4^2 = 16$.
Add and subtract: $16 + 3 - 16 = 3$.
Answer: $3$.
3. Calculate $\{(15 - 3 \times 3) - (18 \div 9)\} + 10^2$.
Calculate inside first parentheses: $3 \times 3 = 9$, then $15 - 9 = 6$.
Calculate inside second parentheses: $18 \div 9 = 2$.
Subtract the two: $6 - 2 = 4$.
Calculate the square: $10^2 = 100$.
Add: $4 + 100 = 104$.
Answer: $104$.
4. Calculate $100 - 45 \div 3 \times 3^2 + 56$.
Calculate the square: $3^2 = 9$.
Calculate division: $45 \div 3 = 15$.
Multiply: $15 \times 9 = 135$.
Subtract and add: $100 - 135 + 56 = 21$.
Answer: $21$.
5. Calculate $6^2 \div 3 \times 4 - 28 + (7 + 3)$.
Calculate the square: $6^2 = 36$.
Divide: $36 \div 3 = 12$.
Multiply: $12 \times 4 = 48$.
Calculate inside parentheses: $7 + 3 = 10$.
Add and subtract: $48 - 28 + 10 = 30$.
Answer: $30$.
6. Calculate $60 \div (5 \times 2) + 4^3$.
Calculate inside parentheses: $5 \times 2 = 10$.
Divide: $60 \div 10 = 6$.
Calculate cube: $4^3 = 64$.
Add: $6 + 64 = 70$.
Answer: $70$.
7. Calculate $120 \div 12 \times 5 \div 2 - 4$.
Calculate division and multiplication from left to right:
$120 \div 12 = 10$, $10 \times 5 = 50$, $50 \div 2 = 25$.
Subtract: $25 - 4 = 21$.
Answer: $21$.
8. Calculate $95 - 24 \div (8 \times 3) + 2^4$.
Calculate inside parentheses: $8 \times 3 = 24$.
Divide: $24 \div 24 = 1$.
Calculate power: $2^4 = 16$.
Add and subtract: $95 - 1 + 16 = 110$.
Answer: $110$.
9. Calculate $9 \times 12 \div 3 + 5 - 15$.
Multiply and divide left to right: $9 \times 12 = 108$, $108 \div 3 = 36$.
Add and subtract: $36 + 5 - 15 = 26$.
Answer: $26$.
10. Calculate $(36 \div 9 + 14) \div 9 + 12 - 10$.
Calculate inside parentheses: $36 \div 9 = 4$, then $4 + 14 = 18$.
Divide: $18 \div 9 = 2$.
Add and subtract: $2 + 12 - 10 = 4$.
Answer: $4$.