Millions, Place Value & Expanded Form!

Mathematics Grades 4th Grade 4:19 Video
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Lesson Description

In this lesson, students will explore place value up to the millions place and learn how to represent numbers in expanded form. We'll use the Numberock's fun song to help us understand these big numbers!

Video Resource

Place Value and Expanded Form to the Millions Song

Math Songs by NUMBEROCK

Duration: 4:19
Watch on YouTube

Key Concepts

  • Place Value
  • Expanded Form
  • Word Form
  • Periods (Ones, Thousands, Millions)

Learning Objectives

  • Students will be able to identify the place value of digits in numbers up to the millions place.
  • Students will be able to represent numbers in expanded form.
  • Students will be able to write numbers in word form.
  • Students will be able to understand how each place value is ten times greater than the place value to its right.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students what the largest number they know is. Then, introduce the concept of place value and how it extends to millions. Explain that they will be watching a fun song to help them learn more.
  • Video Viewing (5 mins)
    Play the Numberock's 'Place Value and Expanded Form to the Millions Song' video. Encourage students to sing along and pay attention to the place values and expanded form examples.
  • Discussion (10 mins)
    After the video, review the key concepts. Ask students to share what they learned about place value, expanded form, and word form.
  • Practice Activity 1: Place Value Chart (15 mins)
    Provide students with a place value chart (up to millions). Give them various numbers and have them write the numbers in the chart, identifying the value of each digit. For example: 3,456,789. What is the value of the 4? (400,000)
  • Practice Activity 2: Expanded Form (15 mins)
    Give students numbers in standard form and have them write the numbers in expanded form. Then, give them numbers in expanded form and have them write them in standard form. For example: 5,000,000 + 200,000 + 30,000 + 4,000 + 100 + 50 + 6 = ? or 7,890,123 = ?
  • Practice Activity 3: Word Form (10 mins)
    Give students numbers in standard form and have them write the numbers in word form. Then, give them numbers in word form and have them write them in standard form. For example: 1,234,567 = ? or One million, two hundred thirty-four thousand, five hundred sixty-seven = ?
  • Wrap Up (5 mins)
    Review key concepts and answer any remaining questions. Let students know they can watch the video again at home for extra practice.

Interactive Exercises

  • Place Value Game
    Use online interactive place value games to reinforce learning. Many free options are available, such as those on Education.com or SplashLearn.
  • Group Number Building
    Divide students into groups. Call out numbers and have them work together to build the number using place value blocks or by writing it on a large sheet of paper.

Discussion Questions

  • What are the different place values we learned about in the song?
  • How do you write a number in expanded form?
  • How do you write a number in word form?
  • Why is place value important?
  • What is a period and how do we use commas to separate them?

Skills Developed

  • Number Sense
  • Place Value Identification
  • Expanded Form Representation
  • Word Form Representation
  • Critical Thinking

Multiple Choice Questions

Question 1:

What is the place value of the digit 5 in the number 1,567,890?

Correct Answer: Hundred Thousands

Question 2:

Which of these is the expanded form of 2,345?

Correct Answer: 2000 + 300 + 40 + 5

Question 3:

How would you write the number 7,000,000 in word form?

Correct Answer: Seven Million

Question 4:

In the number 9,876,543, which digit is in the ten thousands place?

Correct Answer: 7

Question 5:

Which number is equal to 1,000,000 + 200,000 + 30,000 + 4,000 + 500 + 60 + 7?

Correct Answer: 1,234,567

Question 6:

What is the value of the 3 in the number 3,456,789?

Correct Answer: 3,000,000

Question 7:

Which of the following shows how to write 56,789 in expanded form?

Correct Answer: 50,000 + 6,000 + 700 + 80 + 9

Question 8:

What is the standard form of 'one million, five hundred thousand'?

Correct Answer: 1,500,000

Question 9:

In the number 4,567,891 what place is the 8 in?

Correct Answer: Hundreds

Question 10:

In the number 2,345,678, which period is the 2 in?

Correct Answer: Millions

Fill in the Blank Questions

Question 1:

The value of a digit based on its position in a number is called its ________ ________.

Correct Answer: place value

Question 2:

Writing a number as the sum of the values of its digits is called ________ ________.

Correct Answer: expanded form

Question 3:

The number 6,000,000 is written in ________ ________.

Correct Answer: standard form

Question 4:

The groups of three digits in a number are called ________.

Correct Answer: periods

Question 5:

In the number 1,234,567, the 1 is in the ________ place.

Correct Answer: millions

Question 6:

30,000 + 4,000 + 500 + 60 + 7 is the ________ ________ of 34,567.

Correct Answer: expanded form

Question 7:

A way to write numbers that uses words is called ________ ________.

Correct Answer: word form

Question 8:

In the number 7,890,123, the digit 9 is in the ________ place.

Correct Answer: ten thousands

Question 9:

Every place value is _______ times greater than the place value to its right.

Correct Answer: ten

Question 10:

Commas are used to separate numbers into ________.

Correct Answer: periods

Educational Standards

4.N.1.1:Read, write, discuss, and represent whole numbers up to 1,000,000. Representations may include numerals, words, pictures, number lines, and manipulatives. 4.N.1.2:Use place value to describe whole numbers between 1,000 and 1,000,000 in terms of millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones with written, standard, and expanded forms.

Teaching Materials

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