You currently have JavaScript disabled on this browser/device. JavaScript must be enabled in order for this website to function properly.

ZingPath: Decimals and Operations with Decimals

Factorization of Decimals Using a Model

Searching for

Decimals and Operations with Decimals

Learn in a way your textbook can't show you.
Explore the full path to learning Decimals and Operations with Decimals

Lesson Focus

Factorization of Decimals Using a Model

Math Foundations

Learning Made Easy

You will determine the factorization of decimals by arranging base-10 blocks that represent the product into a rectangle.

Over 1,200 Lessons: Get a Free Trial | Enroll Today

Now You Know

After completing this tutorial, you will be able to complete the following:

  • Represent multiplication of decimals using base-10 blocks.
  • Determine the factorization of decimals by arranging base-10 blocks that represent the product into a rectangle.

Everything You'll Have Covered

Decimals are numbers having one or more digits to the right of a decimal point.

Example: 1.23 is a decimal and is read as follows: one and twenty-three hundredths.

A digit in a decimal number has a value based on its place value. The places to the left of the decimal point are whole numbers and can be ones, tens, hundreds, etc. The places to the right of the decimal represent rational numbers, or fractional parts of a whole number. This table shows the decimal place value for various positions

Place (underlined)

Note: adding extra zeros to the right of the last decimal digit does not change the value of the decimal number.

Remember, the whole number portion of a decimal number is represented by the digits to the left of the decimal place. As we move further left, every number place gets 10 times bigger. As we move further right, every number place gets 10 times smaller (one-tenth as large).

Base-10 blocks can be used to represent decimal numbers.

The word "decimal" means "based on ten". So, the use of base-10 blocks to represent decimal numbers is very logical.

The charts below illustrate how decimal numbers are represented using base-10 blocks.

Tutorial Details

Approximate Time 15 Minutes
Pre-requisite Concepts Students should be familiar with base-10 blocks, concept of decimals, and multiplication of decimals.
Course Math Foundations
Type of Tutorial Concept Development
Key Vocabulary base-10 block, factorization of decimals, decimals