IXL | Lattice multiplication

Use the lattice method to find

Calculate the sum of each diagonal. Your answers for the sums will fill in the answer for the product.

ref_doc_title.

Learn with an example

question

Use the lattice method to find

Calculate the sum of each diagonal. Your answers for the sums will fill in the answer for the product.

key idea

Lattice method of multiplication:

Step 1: Make a table with the digits of the first factor along the top and the digits of the second factor down the right. Draw diagonal lines from the top right to bottom left of each box in the table.

Step 2: Multiply the digits and enter their products in the table. The diagonal in each box separates the digits in each product. For 1-digit products, put a 0 to the left of the diagonal.

Step 3: Sum each diagonal starting from the bottom right. For sums greater than 10, carry into the diagonal up and to the left.

Step 4: Rewrite these sums as a string of digits in order from top to bottom, then left to right. This is the product of the original factors.

solution

Step 1

To multiply two numbers using the lattice method, make a table with the digits of the first factor along the top and the digits of the second factor down the right. Draw diagonal lines from the top right to bottom left of each box in the table.

Step 2

Multiply the digits and enter their products in the table. The diagonal in each box separates the digits in each product. For 1-digit products, put a 0 to the left of the diagonal.

Step 3

Sum each diagonal starting from the bottom right. Make sure to carry for sums greater than 10. Here are the first two diagonals shown:

Notice the carried digit, 1. Find the sums for the rest of the diagonals.

Step 4

Rewrite these sums as a string of digits in order from top to bottom, then left to right. This is the product of the original factors.

1,012

So,

1,012

Looking for more? Try these:

Lesson: Lattice multiplication

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

F.1Multiplication facts to 10

G.9Add three one-digit numbers

Lesson: Lattice multiplication

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!