1. Simplify: 25 + 15 × 3 - 10 ÷ 2
We must follow BODMAS or PEMDAS rule which stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction. This gives the correct order of operations. Step 1: Multiplication: 15 times 3 equals 45. Step 2: Division: 10 divided by 2 equals 5. Step 3: Addition and Subtraction from left to right: 25 plus 45 minus 5 equals 70 minus 5 equals 65. Common mistake is solving left to right without BODMAS, which would give wrong answer.
// BODMAS Order: B O D M A S // Brackets, Orders, Division, Multiplication, // Addition, Subtraction // Expression: 25 + 15 × 3 - 10 ÷ 2 // Step 1: Multiplication // 15 × 3 = 45 // Expression: 25 + 45 - 10 ÷ 2 // Step 2: Division // 10 ÷ 2 = 5 // Expression: 25 + 45 - 5 // Step 3: Addition & Subtraction (Left to Right) // 25 + 45 = 70 // 70 - 5 = 65 // Answer: 65