Evaluate each expression. Name the property used in each step. 10. 3(22-3cdot 7) 11 [3div (2cdot 1)](2)/(3) 12. 2(3cdot 2-5)+3cdot (1)/(3) 13. 2[5-(15div 3)] 14. 6+9[10-2(2+3)] (15.) 2(6div 3-1)cdot (1)/(2)

1. Simplify inside the parentheses ### For expression 10, calculate 22 - 3 \cdot 7 = 22 - 21 = 1. ## Step2: Apply multiplication ### Multiply 3 \cdot 1 = 3. **Property used: Distributive Property** # Answer: ### 3 # Explanation: ## Step1: Simplify inside the parentheses ### For expression 11, calculate 2 \cdot 1 = 2. ## Step2: Division ### Divide 3 \div 2 = 1.5. ## Step3: Multiplication ### Multiply 1.5 \cdot \frac{2}{3} = 1. **Property used: Associative Property of Multiplication** # Answer: ### 1 # Explanation: ## Step1: Simplify inside the parentheses ### For expression 12, calculate 3 \cdot 2 - 5 = 6 - 5 = 1. ## Step2: Apply multiplication ### Multiply 2 \cdot 1 = 2. ## Step3: Simplify fraction multiplication ### Calculate 3 \cdot \frac{1}{3} = 1. ## Step4: Addition ### Add 2 + 1 = 3. **Property used: Commutative Property of Addition** # Answer: ### 3 # Explanation: ## Step1: Simplify inside the parentheses ### For expression 13, calculate 15 \div 3 = 5. ## Step2: Subtraction ### Calculate 5 - 5 = 0. ## Step3: Apply multiplication ### Multiply 2 \cdot 0 = 0. **Property used: Zero Property of Multiplication** # Answer: ### 0 # Explanation: ## Step1: Simplify inside the innermost parentheses ### For expression 14, calculate 2 + 3 = 5. ## Step2: Apply multiplication ### Multiply 2 \cdot 5 = 10. ## Step3: Subtraction ### Calculate 10 - 10 = 0. ## Step4: Apply multiplication ### Multiply 9 \cdot 0 = 0. ## Step5: Addition ### Add 6 + 0 = 6. **Property used: Identity Property of Addition** # Answer: ### 6 # Explanation: ## Step1: Simplify inside the parentheses ### For expression 15, calculate 6 \div 3 = 2. ## Step2: Subtraction ### Calculate 2 - 1 = 1. ## Step3: Apply multiplication ### Multiply 2 \cdot 1 \cdot \frac{1}{2} = 1. **Property used: Associative Property of Multiplication** # Answer: ### 1