2x2 Multiplication using the grid method
Practise below
Solve the following multiplication problems using the grid method. Fill in the grid and then provide the final answer.
Topic guide
What this worksheet practises
This worksheet practises multiplying a two-digit number by another two-digit number using the grid method. This method helps to organise the calculation visually, ensuring you don't miss any parts of the multiplication before adding them all together.
Key method
Follow these steps to complete a 2 by 2 grid method calculation:
- Partition both two-digit numbers into tens and units.
- Draw a grid with 2 rows and 2 columns. Write one partitioned number across the top and the other down the side.
- Multiply the row and column headings to fill in the four inner boxes of the grid.
- Carefully add the values from all four boxes together to find the final total.
Worked example
Calculate 23 × 45
Step 1: Partition the numbers. 23 becomes 20 and 3. 45 becomes 40 and 5.
Step 2: Fill in the 2x2 grid.
- 20 × 40 = 800
- 3 × 40 = 120
- 20 × 5 = 100
- 3 × 5 = 15
Step 3: Add the four results together using column addition.
800 + 120 + 100 + 15 = 1035
The final answer is 1035.
Things to remember
Take extra care when multiplying tens by tens. For example, 20 × 40 is 800, not 80. Remember to count the total number of zeros in the question to help place the zeros in your answer.
How to check your answer
Use rounding to estimate. For 23 × 45, you could round to 20 × 50. 20 × 50 = 1000. Because 1035 is very close to 1000, you can be confident your calculation is correct.