Writing Numbers in Expanded Form: From Words to Digits!

Mathematics Grades 4th Grade 1:26 Video

Lesson Description

Learn how to take numbers written in word form and break them down into their expanded form. Understand the value of each digit based on its place value and represent numbers as a sum of their parts!

Video Resource

Going from word form to expanded form

You tube

Duration: 1:26
Watch on YouTube

Key Concepts

  • Place Value (hundreds, tens, ones)
  • Word Form of Numbers
  • Expanded Form of Numbers

Learning Objectives

  • Students will be able to identify the place value of each digit in a number.
  • Students will be able to convert numbers written in word form to expanded form.
  • Students will be able to express a number as the sum of its hundreds, tens, and ones.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing place value (hundreds, tens, and ones) using base-ten blocks or drawings. Ask students to represent numbers like 325 using these manipulatives. Then, introduce the concept of representing these numbers in word form ('three hundred twenty-five').
  • Video Viewing (5 mins)
    Show the YouTube video 'Going from word form to expanded form'. Ask students to pay attention to how the instructor breaks down the numbers from word form to expanded form.
  • Guided Practice (10 mins)
    Work through several examples together as a class. For example, write 'two hundred sixty-three' on the board. Guide students to identify that there are 2 hundreds, 6 tens, and 3 ones. Then, write the expanded form: 200 + 60 + 3. Do several examples of this together.
  • Independent Practice (10 mins)
    Provide students with a worksheet or a set of problems where they convert numbers from word form to expanded form independently. Examples: 'five hundred seventy-two', 'nine hundred four', 'one hundred eleven'.
  • Review and Assessment (5 mins)
    Review the answers to the independent practice problems as a class. Address any misconceptions or areas of difficulty. Briefly introduce the multiple-choice and fill-in-the-blank quizzes they will take next class to reinforce learning.

Interactive Exercises

  • Place Value Chart Activity
    Provide students with a place value chart (hundreds, tens, ones). Give them numbers in word form and ask them to write the number in the chart and then in expanded form. For instance, if the number is 'six hundred thirty-eight', they would write 6 in the hundreds column, 3 in the tens column, and 8 in the ones column. Then, they write the expanded form: 600 + 30 + 8.
  • Number Building Game
    Divide students into small groups. Give each group a set of cards with numbers written in word form. Have them race to build the expanded form of each number using base-ten blocks or drawings. The first group to correctly build the expanded form wins.

Discussion Questions

  • What does 'expanded form' mean?
  • How does understanding place value help us write numbers in expanded form?
  • Can you think of a time when you might use expanded form in everyday life?

Skills Developed

  • Place Value Understanding
  • Number Sense
  • Problem-Solving

Multiple Choice Questions

Question 1:

What is the expanded form of 'three hundred fifty-six'?

Correct Answer: 300 + 50 + 6

Question 2:

Which number is equal to 200 + 40 + 7?

Correct Answer: Two hundred forty-seven

Question 3:

What is the value of the '4' in the number 'four hundred twenty-one'?

Correct Answer: 400

Question 4:

Which of these is the correct expanded form for 'one hundred ninety'?

Correct Answer: 100 + 90

Question 5:

What does 'expanded form' help us understand about numbers?

Correct Answer: Their place value

Question 6:

Which number has 8 in the hundreds place?

Correct Answer: 851

Question 7:

What is the correct expanded form of 'seven hundred three'?

Correct Answer: 700 + 3

Question 8:

How many tens are there in 'sixty-five'?

Correct Answer: 6

Question 9:

Which expanded form represents the number 'five hundred eleven'?

Correct Answer: 500 + 10 + 1

Question 10:

What is the number 900 + 20 + 5 written in word form?

Correct Answer: Nine hundred twenty-five

Fill in the Blank Questions

Question 1:

The expanded form of 428 is 400 + 20 + ____.

Correct Answer: 8

Question 2:

600 + 50 + 2 is the expanded form of _________ hundred fifty-two.

Correct Answer: six

Question 3:

In the number 719, the 1 is in the _____ place.

Correct Answer: tens

Question 4:

The expanded form of two hundred forty is 200 + _____ + 0.

Correct Answer: 40

Question 5:

800 + 7 is the same as _____ hundred seven.

Correct Answer: eight

Question 6:

In the number 361, the 3 means 3 ________.

Correct Answer: hundreds

Question 7:

500 + 90 + 4 is the expanded form of five hundred ________-four.

Correct Answer: ninety

Question 8:

The number 100 + 8 is one hundred _______.

Correct Answer: eight

Question 9:

The expanded form of nine hundred eleven is 900 + 10 + ______.

Correct Answer: 1

Question 10:

700 + 30 is _______ hundred thirty.

Correct Answer: seven