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Searching for ## Decimals and Operations with Decimals

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Math Foundations

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

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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.

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.

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 |