Back To Course

Math for Kids23 chapters | 326 lessons

Watch short & fun videos
**
Start Your Free Trial Today
**

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 70,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Sarah Palacios*

Sarah has completed her masterâ€™s degree in Education from the University of Texas and has received her bachelors in Interdisciplinary Studies specializing in Mathematics. She graduated with honors, Magna cum Laude, from Texas A&M University. She currently holds a principal certificate, a teaching certificate for Mathematics grades 4-8, a teaching certificate for EC â€“ 6 as a generalist, as well as an ESL certificate. She has been an elementary school teacher for the past 4 years and is passionate about educating students to the highest degree.

Decimals can be pretty confusing. In this lesson, you will learn the value of decimal places to the thousandths and how to write them in expanded form using decimals as well as fractions.

A **decimal** is a number that means part of a whole. For example, the digit, or number, in front of a decimal represents a whole number. Let's say you have one apple; we would write that as 1.0. No one has eaten any part of that apple, yet. However, if you only have half of the apple, you no longer have the whole apple, or 1 apple, you have half of the apple. And we can write that in decimal form by saying 0.5, and we can also use words by saying five tenths of the apple, and fractions by writing 5/10. There are many other fractions that work as well. They all mean the same: you only have half of the apple left.

Here is a chart showing all the decimal places to the thousandths:

Writing decimals in **expanded form** simply means writing each number according to its place value. This is done by multiplying each digit by its place value and adding them together. Let's look at an example: 2.435. In words, we would say this as two and four hundred thirty-five thousandths. The whole number 2 is said as two, the decimal is said as 'and,' and the decimal part, which is 435, is said as a regular number: four hundred thirty-five. But since it is a decimal, we would say the last number as its place value. The last number 5 is in the thousandths place, so we must say four hundred thirty-five thousandths.

Now, how do we write that in expanded form? Remember, expanded simply means to write each digit in its given place value and add them all together. So, let's look at that same number we talked about and write it in expanded form. We do that by multiplying each number by its place value. Let's look at that chart again:

The whole number 2 has a place value of 1, so we multiply 2 by 1 and put parentheses around it to separate it from the other numbers we have: (2 x 1)

Next, we have the digit 4 in the tenths place so we multiply that by 0.1: (4 x 0.1)

Next, we have the digit 3 in the hundredths place, we multiply that by 0.01: (3 x 0.01)

Finally, we have the digit 5 in the thousandths place, we multiply that by 0.001: (5 x 0.001)

The last step is finding the sum: (2 x 1) + (4 x 0.1) + (3 x 0.01) + (5 x 0.001)

We can also write decimals in expanded form using their fraction form. Let's look at the decimal chart again but written as fractions:

The whole number will stay the same: (2 x 1)

Next, we'll have the digit 4 written as (4 x 1/10)

Next, we have the digit 3 written as (3 x 1/100)

Next, we have the digit 5 written as (5 x 1/1000)

Finally, we add them together just as we did before:

(2 x 1) + (4 x 1/10) + (3 x 1/100) + (5 x 1/1000)

When writing decimals in **expanded form**, we must always remember to multiply all numbers by their place value and separate them using parentheses. Remember also that the digit in front (to the left) of the decimal is a whole number and the numbers after the decimal must by written in their correct place value. All numbers are then added together to show them as a sum.

To unlock this lesson you must be a Study.com Member.

Create
your account

Already a member? Log In

BackDid you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
37 in chapter 4 of the course:

Back To Course

Math for Kids23 chapters | 326 lessons

- Subtraction: Lesson for Kids
- Expanded Form: Lesson for Kids
- Logic Problems: Lesson for Kids
- How to Do Long Multiplication: Lesson for Kids
- What is Multiplication? - Lesson for Kids
- Addition: Lesson for Kids
- Multiplication Properties Lesson for Kids
- Math Card Games for Kids
- Telling Time: Activities & Games for Kids
- Telling Time: Lesson for Kids
- Counting Money Lesson Plan
- Counting Money: Lesson for Kids
- Telling Time to the Minute: Lesson for Kids
- Divisibility Rules for 10: Lesson for Kids
- Divisibility Rules for 2: Lesson for Kids
- Divisibility Rules for 5: Lesson for Kids
- Division Lesson for Kids: Definition & Method
- Long Division Steps: Lesson for Kids
- Estimation: Lesson for Kids
- Lattice Method of Multiplication
- What Are Different Ways to Multiply? 3:52
- Different Ways to Divide
- What is a Theorem? - Definition & Examples 3:11
- What is Subtraction with Regrouping?
- How to Divide a Whole Number by a Decimal
- What is Addition With Regrouping?
- Finding the Missing Addend
- Metric System vs. Imperial System
- History of the Metric System: Lesson for Kids
- How Money is Made: Lesson for Kids
- What is the Chinese Multiplication Method?
- The Column Addition Method
- 4 Digit Subtraction with Regrouping
- How to Multiply Using Expanded Form 3:52
- How to Write Numbers in Expanded Form
- Famous Mathematicians: Lesson for Kids
- How to Write Decimals in Expanded Form 3:30
- 4 Digit Addition with Regrouping
- Expanded Notation Method for Division
- Expanded Notation Method for Multiplication 3:23
- Multiplication & Division Fact Families
- Addition & Subtraction Fact Families
- 4 Digit by 1 Digit Multiplication
- Metric Conversions: Lesson for Kids
- How to Divide by Double Digit Numbers
- Two-Step Math Word Problems 4:03
- How to Borrow in Math
- Math Word Problems: Lesson for Kids
- How to Learn Times Tables
- The Box Method for Multiplication 2:29
- 4 Digit by 2 Digit Multiplication
- What Does Equivalent Mean in Math?
- 1st Grade Math Vocabulary: Lesson for Kids
- Go to Math Basics for Elementary School

- Finding & Retaining Talent in an Agile Organization
- Cultural Agility for Organizations
- Psychology 306: Advanced Abnormal Psychology
- Computer Science 108: Introduction to Networking
- Psychology 316: Advanced Social Psychology
- Agile Talent Retention Strategies
- Understanding Cultural Agility in Organizations
- Intro to Agile Organizations
- Barriers to Cultural Agility in the Workplace
- Finding Agile Workers
- Study.com CLEP Scholarship for Military Members
- Study.com Scholarship for Texas Students & Prospective Teachers
- Study.com Scholarship for Florida Students & Prospective Teachers
- What are TExMaT Exams?
- What is the Florida Teacher Certification Examination (FTCE)?
- Study.com TExES Scholarship: Application Form & Information
- Study.com FTCE Scholarship: Application Form & Information

- Challenges in Communicating With Customers Over the Phone
- Teaching Kids How to Count
- Managing Discounts & Plops in Team Meetings
- Forensic Serology: Definitions & Examples
- How to Manage Program-Level Issues
- Surah 55 in the Qur'an: Analysis & Symbolism
- Ethnic Groups in Africa
- What is the Negotiator's Dilemma?
- Quiz & Worksheet - Criminal Insanity Law
- Quiz & Worksheet - Vehicular Homicide & Law
- Quiz & Worksheet - Passive-Aggressiveness on the Job
- Quiz & Assessment - Tolstoy's God Sees the Truth But Waits
- Quiz & Worksheet - Preventing Burnout on Work Teams
- International Law & Global Issues Flashcards
- Foreign Policy, Defense Policy & Government Flashcards

- Number Properties: Help & Review
- Praxis Physical Education: Practice and Study Guide
- PLACE Basic Skills: Practice & Study Guide
- AEPA Political Science/American Government: Practice & Study Guide
- TOEFL iBT: Test Prep and Practice
- Teacher Resources for 9th Grade English
- Sectional Crisis (1850-1861)
- Quiz & Worksheet - Types of Infectious Agents
- Quiz & Worksheet - Metalloid Elements on the Periodic Table
- Quiz & Worksheet - Power of a Power Rule
- Quiz & Worksheet - Sources of Stress in the Workplace
- Quiz & Worksheet - Client-Server Network Pros & Cons

- Minerals in Our Food: Functions in the Body & Food Sources
- Anticlimax in Literature: Definition & Examples
- How to Write a Personal Statement for Law School
- What Is Continuing Education?
- How to Learn Accounting
- How to Pass the CPA Exam
- What to Do When You're Rejected from All Colleges
- How to Pass LPN School
- How to Earn a Digital Badge
- Fun Math Games for 1st Grade
- Best Study Abroad Programs
- What Is Science? - Lesson Plan

Browse by subject