1. Simplify the expression $(8 - 4) \times 5 \div 2$ using the order of operations (GEMDAS). 2. Simplify the expression $(10 - 5)^2 \div 5 + 2$ using GEMDAS. 3. Simplify the expression $5 \times 2^2 + (3 - 1) \div 2$ using GEMDAS. 4. Simplify the expression $(8 + 2) \times 3 - 4 \div 2$ using GEMDAS. 5. Simplify the expression $15 \div 3 \times (2^3 + 1) - 5$ using GEMDAS. --- ### Step 1: Simplify $(8 - 4) \times 5 \div 2$ 1. Calculate inside parentheses: $8 - 4 = 4$ 2. Expression becomes $4 \times 5 \div 2$ 3. Multiply and divide from left to right: $$4 \times 5 = 20$$ 4. Then divide: $$20 \div 2 = 10$$ **Answer:** $10$ --- ### Step 2: Simplify $(10 - 5)^2 \div 5 + 2$ 1. Calculate inside parentheses: $10 - 5 = 5$ 2. Expression becomes $5^2 \div 5 + 2$ 3. Calculate exponent: $$5^2 = 25$$ 4. Expression becomes $25 \div 5 + 2$ 5. Divide: $$25 \div 5 = 5$$ 6. Add: $$5 + 2 = 7$$ **Answer:** $7$ --- ### Step 3: Simplify $5 \times 2^2 + (3 - 1) \div 2$ 1. Calculate exponent: $$2^2 = 4$$ 2. Calculate inside parentheses: $$3 - 1 = 2$$ 3. Expression becomes $5 \times 4 + 2 \div 2$ 4. Multiply: $$5 \times 4 = 20$$ 5. Divide: $$2 \div 2 = 1$$ 6. Add: $$20 + 1 = 21$$ **Answer:** $21$ --- ### Step 4: Simplify $(8 + 2) \times 3 - 4 \div 2$ 1. Calculate inside parentheses: $$8 + 2 = 10$$ 2. Expression becomes $10 \times 3 - 4 \div 2$ 3. Multiply: $$10 \times 3 = 30$$ 4. Divide: $$4 \div 2 = 2$$ 5. Subtract: $$30 - 2 = 28$$ **Answer:** $28$ --- ### Step 5: Simplify $15 \div 3 \times (2^3 + 1) - 5$ 1. Calculate exponent: $$2^3 = 8$$ 2. Calculate inside parentheses: $$8 + 1 = 9$$ 3. Expression becomes $15 \div 3 \times 9 - 5$ 4. Divide: $$15 \div 3 = 5$$ 5. Multiply: $$5 \times 9 = 45$$ 6. Subtract: $$45 - 5 = 40$$ **Answer:** $40$