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Multiplying Using Partial Products Worksheet

Part 1: Single-digit Multiplication

  1. Multiply the following two numbers: 5 x 3
  2. Multiply the following two numbers: 8 x 2
  3. Multiply the following two numbers: 4 x 9
  4. Multiply the following two numbers: 6 x 1
  5. Multiply the following two numbers: 7 x 0

Part 2: Double-digit Multiplication

Use the partial products method to solve the following problems.

Multiplication Problem Partial Products
12 x 3
15 x 4
25 x 6
36 x 2
47 x 9

Part 3: Triple-digit Multiplication

Use the partial products method to solve the following problems.

Multiplication Problem Partial Products
123 x 4
456 x 7
789 x 2
234 x 5
567 x 8

Part 4: Word Problems

Use the information given to solve the following word problems using the partial products method.

  1. Sarah wants to buy 4 packs of pencils, with each pack containing 8 pencils. How many pencils will she have in total?
  2. There are 5 rows of chairs in a classroom with 6 chairs in each row. How many chairs are there in total?
  3. A farmer has 7 fields, with each field containing 9 cows. How many cows does the farmer have in total?
  4. A grocery store sells 6 packs of apples, with each pack containing 12 apples. How many apples will be sold in total?
  5. In a bookshelf, there are 4 rows of books with 7 books in each row. How many books are there in total?

Part 5: Challenge Problems

Use the partial products method to solve the following challenging multiplication problems.

  1. 234 x 567
  2. 789 x 123
  3. 456 x 852
  4. 753 x 951
  5. 246 x 135

Part 6: Create Your Own Problem

Create your own multiplication problem that involves at least 2 digits. Use the partial products method to solve it.