Question 1: Calculate 7 × 6 using the grid method. Fill in your grid and find the final product.

Answer: 42

Question 2: Multiply 9 × 8 with the grid method. Show all steps.

Answer: 72

Question 3: Use the grid method to multiply 5 × 9. Complete the grid and find the answer.

Answer: 45

Question 1: Emma multiplies two numbers using the grid method. She calculates 4 × 7 correctly but makes a mistake in combining the partial products. Identify the mistake and correct it.

Answer: The mistake is adding partial products incorrectly; the correct sum is 28. The mistake was adding 20 and 7 instead of 20 and 8, which gave 35 instead of 28.

Question 2: A student multiplies 6 × 5 using the grid method but omits a step. Describe the step missed and rewrite the correct process.

Answer: They forgot to multiply each digit place separately and combine correctly. Correct process: draw the grid, partition 6 and 5 into tens and units, multiply each pair, then add the partial products.

Question 1: A small factory produces 8 boxes of items each day. Each box contains 9 items. Use the grid method to find the total number of items produced in a day.

Answer: 72

Question 2: A bookstore orders 7 boxes of books, each with 6 books. Calculate the total books ordered using the grid method.

Answer: 42

Question 1: Multiply 9 × 9 using the grid method. Show your detailed steps and identify any common errors to avoid.

Answer: 81

Question 2: Create a multiplication problem with two two-digit numbers that, when multiplied using the grid method, results in a product greater than 100. Explain your choice.

Answer: Possible problem: 12 × 9 = 108. Using the grid method, partition 12 into 10 and 2, multiply each by 9, then sum: (10×9)=90, (2×9)=18, total 108.

Question 1: A student calculates 8 × 7 and writes the partial products as 50 and 21, then adds to get 71. Explain the mistake and provide the correct partial products and total.

Answer: Mistake: incorrect partition of 8 into 5 and 3. Correct partial products: 8×7=56; no need to split further, but if using grid, 8=8 and 7=7, so partial products are 8×7=56.

Question 2: Identify and correct the mistake in multiplying 6 × 4 where a student writes 20 and 24 as partial products and sums to 44.

Answer: Mistake: mispartitioning 6 into 20 (incorrect). Proper partial products: 6×4=24. Using grid, split 6 into 4 and 2; multiply each by 4: 4×4=16, 2×4=8; total 24.