Use lattice multiplication to find the product.
52 × 67
If you have not done lattice multiplications before, check the following link which explains very clearly how it can be done:
http://mathforum.org/library/drmath/view/52468.html
Otherwise, give it a try and post your results for verification.
To use lattice multiplication to find the product of 52 × 67:
Step 1: Set up a grid or lattice with four sections, two for each of the digits in the numbers being multiplied. In this case, draw a 2x2 grid.
| 5 | 2 |
|---------|---------|
| 6 | 7 |
Step 2: Multiply each digit in the top row with each digit in the bottom row, in a diagonal pattern, and write the products in the corresponding squares.
| 5 | 2 |
|---------|---------|
| 30 | 14 |
Step 3: Sum up the values in each diagonal to get the partial products.
5
+--------------
3 0 5
Step 4: Add up the partial products to get the final product.
3 1 3 4
So, 52 × 67 equals 3,134.
Using lattice multiplication can help organize the multiplication process by breaking it down into smaller steps and making it easier to keep track of the calculations.