Introduction:

Mastering double-digit multiplication is an essential skill in mathematics. It may seem challenging at first, but with practice and the right methods, it can be easily accomplished. In this article, we’ll explore three ways to do double digit multiplication: Traditional Method, Area Model, and Lattice Method.

1. Traditional Method

The traditional method (also known as the long multiplication method) is the most commonly taught approach for double-digit multiplication. Here’s how it works:

Step 1: Write down the two numbers you want to multiply, one on top of the other.

Step 2: Multiply the bottom digit of the second number with each digit of the first number separately, starting from the right.

Step 3: Write down the result of each multiplication below their corresponding digits in a new row.

Step 4: If there are two digits in the second number, move one space to the left from your previous product and repeat steps 2 and 3.

Step 5: Add up all the partial products. The final sum is your answer.

2. Area Model

The area model visually represents multiplication using rectangular arrays. This method is beneficial for students who struggle with abstract concepts and prefer visual aids. Here’s how it works:

Step 1: Break down each of the factors (the two numbers you want to multiply) into tens and ones.

Step 2: Draw a rectangle divided into four smaller rectangles representing the tens and ones of each factor.

Step 3: Calculate the area of each smaller rectangle by multiplying their corresponding side lengths (tens or ones).

Step 4: Add up all four resulting products together to get your final answer.

3. Lattice Method

The lattice method breaks down multiplication into bite-sized calculations within a lattice or grid structure. This is particularly helpful when dealing with larger numbers since it simplifies the process. Here’s how it works:

Step 1: Write the two numbers you want to multiply along the top and right side of a square grid.

Step 2: Draw diagonal lines through each cell in the grid.

Step 3: Multiply each digit of the first number by each digit of the second number separately, writing the products’ tens and ones in their corresponding cells split by the diagonal lines.

Step 4: Starting from the bottom right corner of the grid, add the digits along diagonal paths working your way to the top left corner.

Step 5: Write your final answer from left to right and top to bottom by combining all diagonals’ sums.

Conclusion:

Double-digit multiplication may seem daunting; however, with these three methods at your disposal, you are well-equipped to tackle any double-digit multiplication problem. Practice these methods and choose the one that works best for you to boost your math skills and become a multiplication master!