How to Multiply 2-Digit by 1-Digit Numbers: Word Problems Explained

Understanding the Problem

• 🎯 The problem involves a bakery making seven trays of cookies on Friday, with each tray holding 36 cookies.
• 💡 The goal is to calculate the total number of cookies baked on Friday.

Method 1: Distributive Property

• 🧠 The problem can be represented as multiplying 7 * 36.
• 🧩 36 can be broken down into 30 + 6.
• ⚡ Using the distributive property, we calculate (7 * 30) + (7 * 6).
• 📊 7 * 30 equals 210, and 7 * 6 equals 42.
• ✅ Adding these together, 210 + 42 results in 252 cookies.

Method 2: Standard Multiplication Algorithm

• 🔑 An alternative method is to multiply 36 by 7 directly.
• ✍️ Place the 7 in the ones place below the 6.
• ➕ First, multiply 7 * 6, which equals 42.
• ➕ Next, consider 7 * 30, which equals 210.
• 🧮 Adding these partial products (42 + 210) also yields 252 cookies.
• ✨ Both methods demonstrate different ways to arrive at the same correct answer.