How Do You Multiply a Two-Digit Number by a Two-Digit Number Using Partial Products?

How Do You Multiply a Two-Digit Number by a Two-Digit Number Using Partial Products?

Note:

You can use partial products to help you multiply two numbers together! Follow the steps in this tutorial to see how partial products can make a multiplication problem easier!

Keywords:

  • problem
  • multiply
  • two digit
  • partial products
  • geometric model
  • area

Background Tutorials

  • Use place value understanding to round whole numbers to the nearest 10 or 100.

      • What is Place Value for Whole Numbers?What is Place Value for Whole Numbers?

      What is Place Value for Whole Numbers?

      Place value is a building block of numbers. Without place value, we couldn't keep all our numbers straight! This tutorial introduces place value and shows you the parts of a place value chart.

  • Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

      • What is a Rectangle?What is a Rectangle?

      What is a Rectangle?

      A rectangle is one of the many fundamental shapes you'll see in math. Rectangles have special properties that can be very useful in helping you solve a problem. This tutorial introduces you to rectangles and explains their interesting qualities!

  • Fluently add and subtract multi-digit whole numbers using the standard algorithm.

      • How Do You Add Whole Numbers?How Do You Add Whole Numbers?

      How Do You Add Whole Numbers?

      To add numbers, you can line up the numbers vertically and then add the matching places together. This tutorial shows you how to add numbers vertically!

  • Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Further Exploration

  • Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.