Question 1: Calculate 123 × 45 using the grid method.

Answer: 5535

Question 2: Compute 256 × 38 and explain each step in your grid.

Answer: 9728

Question 3: A store orders 147 boxes of pencils, each containing 56 pencils. How many pencils are ordered in total? Use the grid to find your answer.

Answer: 8232

Question 4: Construct a grid to multiply 342 by 29 and verify your product.

Answer: 9918

Question 5: Identify and correct the mistake in this partial grid multiplication: 234 × 56 = 13104 (incorrect). Show the correct grid calculation.

Answer: Correct product is 13104; the mistake was in partial products or alignment. Correct grid calculation yields 13104.

Question 6: Estimate the product of 438 and 67 by rounding and then find the exact value using the grid method.

Answer: 29346

Question 7: A factory produces 125 machines each day. If each machine costs $473, what is the total cost? Use the grid method to compute.

Answer: 59125

Question 8: Multiply 398 by 64 using the grid method and justify each step.

Answer: 25472

Question 9: Challenge: Find the product of 567 and 89. Use the grid to verify your answer. Explain why initial estimates are important.

Answer: 50463

Question 10: Use the grid method to compute 312 × 47 and compare your method with standard algorithm. Which do you prefer and why?

Answer: Answer involves detailed grid calculation; preference varies.