Question 1: Calculate 124 × 36 using the column method. Show each step of your working.

Answer: 4464

Question 2: A student lines up the digits incorrectly in their column method calculation of 237 × 45. Identify and correct the mistake in their working:

Answer: The student misplaced the tens digit; they should align 237 and 45 properly, placing 5 under the units and 4 under the tens, then multiply each digit correctly.

Question 3: Calculate 351 × 28 using the column method.

Answer: 9828

Question 4: In multiplying 462 × 53, a student forgets to add the partial products correctly. Explain what mistake they made and how to fix it.

Answer: They failed to add the partial products properly, likely combining only some of them or misaligning the sum. The fix is to add all partial sums carefully, ensuring place value alignment.

Question 5: Construct the multiplication 125 × 34 using the column method on the grid. Label the partial products.

Answer: Partial products are 125 × 4 = 500 and 125 × 30 = 3750. Sum: 500 + 3750 = 4250.

Question 6: A student mistakenly places a '0' in the wrong column when multiplying 213 × 42. Identify the mistake and correct it.

Answer: They placed the zero in the wrong position, likely under the wrong digit. The correct placement is after multiplying by the units digit, then shifting left for the tens digit, ensuring proper alignment.

Question 7: Calculate 498 × 27. Explain how errors in carrying over can affect the final answer.

Answer: Carrying errors can lead to incorrect partial sums, resulting in a wrong total. Precise carrying over at each step ensures accuracy.

Question 8: A student multiplies 156 × 39 and gets 6084. Check their work for common mistakes and correct the calculation.

Answer: They likely misaligned partial products or misadded. Correct approach: 156×9=1404, 156×30=4680, sum=6084, which is correct; verify partial products to confirm.

Question 9: Using the grid, demonstrate how to multiply 312 by 45, and show how to avoid common errors.

Answer: Partial products: 312×5=1560, 312×40=12480. Sum: 1560+12480=14040. Proper alignment prevents errors.

Question 10: Challenging: Multiply 479 × 68 on the grid. After completing the multiplication, identify two common mistakes students might make and how to avoid them.

Answer: Common mistakes include misplacing the partial products and misaligning carry-overs. To avoid, carefully write partial products with correct place value and double-check addition.