This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Another day — let's solve it. The method shown in the example 11 × 12 involves breaking down each number into its tens and ones components and then using the distributive property (also known as the FOIL method or partial products). For 11 × 12: 11 = 10 + 1 12 = 10 + 2 So, 11 × 12 = (10+1) × (10+2). This expands to (10 × 10) + (10 × 2) + (1 × 10) + (1 × 2). Calculating each part: 100 + 20 + 10 + 2. Adding these partial products: 100 + 20 + 10 + 2 = 132. We will apply this method to the given problems. Step 1: Solve 12 × 13. We break down the numbers: 12 = 10 + 2 and 13 = 10 + 3. 12 × 13 &= (10+2) × (10+3) \\ &= (10 × 10) + (10 × 3) + (2 × 10) + (2 × 3) \\ &= 100 + 30 + 20 + 6 \\ &= 156 The product is 156. Step 2: Solve 10 × 21. We break down the numbers: 10 = 10 + 0 and 21 = 20 + 1. 10 × 21 &= (10+0) × (20+1) \\ &= (10 × 20) + (10 × 1) + (0 × 20) + (0 × 1) \\ &= 200 + 10 + 0 + 0 \\ &= 210 The product is 210. Step 3: Solve 22 × 14. We break down the numbers: 22 = 20 + 2 and 14 = 10 + 4. 22 × 14 &= (20+2) × (10+4) \\ &= (20 × 10) + (20 × 4) + (2 × 10) + (2 × 4) \\ &= 200 + 80 + 20 + 8 \\ &= 308 The product is 308. Step 4: Solve 23 × 17. We break down the numbers: 23 = 20 + 3 and 17 = 10 + 7. 23 × 17 &= (20+3) × (10+7) \\ &= (20 × 10) + (20 × 7) + (3 × 10) + (3 × 7) \\ &= 200 + 140 + 30 + 21 \\ &= 391 The product is 391. Step 5: Solve 19 × 22. We break down the numbers: 19 = 10 + 9 and 22 = 20 + 2. 19 × 22 &= (10+9) × (20+2) \\ &= (10 × 20) + (10 × 2) + (9 × 20) + (9 × 2) \\ &= 200 + 20 + 180 + 18 \\ &= 418 The product is 418. Send me the next one 📸