Video Tutorial: Place Value: Reading and Writing Decimals in Expanded Form

Topic

Place Value

Description

This video explains how to write decimals in expanded form and standard form using decimal place values. Key concepts include expressing decimals as sums of multiples of tenths, hundredths, and smaller powers of ten. Vocabulary includes expanded notation, standard form, and powers of 10. Applications include determining monetary totals, combining decimal tiles, and arranging values using expanded notation to simplify comprehension of decimal quantities. Students transition between expanded and standard forms for both conceptual understanding and practical use.

The relevance of this video to the topic of Place Value is crucial for extending students' understanding of the base-10 system beyond whole numbers. It bridges the gap between whole number place value and fractional representations, introducing the concept of decimal places as negative powers of ten. Mathematically, this video lays the foundation for operations with decimals, percentage calculations, and later work with scientific notation.

Teacher's Script: Today, we're going to explore how the concept of expanded form, which we've used with whole numbers, applies to decimals. I want you to pay close attention to how decimals are broken down into sums of tenths, hundredths, and even smaller parts. We'll see how this relates to the powers of 10 we've studied before, but now we'll be dealing with fractions of 1. Think about how this helps us understand the value of each digit in a decimal number. We'll look at practical examples, like adding up money amounts or using decimal tiles to visualize these numbers. These hands-on applications will help you see how expanded form makes decimal quantities easier to understand and work with.

For a complete collection of videos related to Place Value click on this link: Video Tutorials: Place Value Collection.