CCSS 4th Grade Numbers and Operations in Base Ten 2.2Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare
two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the
results of comparisons.Lesson to be used by EDI-trained teachers only.
We will write multi-digit numbers using expanded form.
What are we going to do?What are we going to do?
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Students, you already know how to identify the place value of digits in a number. Now, we will use place value to write multi-digit numbers in expanded form.
Students, you already know how to identify the place value of digits in a number. Now, we will use place value to write multi-digit numbers in expanded form.
Make ConnectionMake Connection
NameLearning Objective
Learning Objective
Activate Prior Knowledge
Activate Prior KnowledgePlace value: The place is the position of a digit in a number. The value is the worth of the digit due to its position.•A digit in any place represents 10 times as much as it does in the place to its right.
Find the place value for the following digits of 321,658.
1. 3 is in the ___________________ place.
The value of the 3 in 321,658 is _________.
2. 2 is in the ____________________ place.
The value of the 2 in 321,658 is _________.
CCSS 4th Grade Numbers and Operations in Base Ten 2.2Write multi-digit numbers in expanded form.
Which number is equal to 500,000 + 30,000 + 3,000 + 700 + 60 + 4? How do you know?A 533,764 B 353,064 C 764,533Why is 5 + 3 + 3 + 7 + 6 + 4 not the expanded form of 3,764?In your own words, what does it mean to have a number in expanded form? A number in expanded form _____________________.
Which number is equal to 500,000 + 30,000 + 3,000 + 700 + 60 + 4? How do you know?A 533,764 B 353,064 C 764,533Why is 5 + 3 + 3 + 7 + 6 + 4 not the expanded form of 3,764?In your own words, what does it mean to have a number in expanded form? A number in expanded form _____________________.
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1 make longer (gesture)2 first
1 make longer (gesture)2 first
VocabularyVocabulary
Concept DevelopmentConcept Development
Expanded1 form represents a number as the addition of the value of each digit. • The expanded form of a number is equal to the original2 number.
How did I/you identify the value of the digits in each place?How did I/you write the expanded form of the number?
How did I/you identify the value of the digits in each place?How did I/you write the expanded form of the number?
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33 find
3 find
VocabularyVocabulary
Write multi-digit numbers in expanded form. 1 Read the number aloud.
Identify3 the value of the digits in each place.Write the expanded form of the number.
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Skill Development/Guided Practice
Skill Development/Guided PracticeExpanded form represents a number as the addition of the value of each digit. • The expanded form of a number is equal to the original number.
1. 2.
3. 4.
5. 6. 6 3 0, 0 4 06 3 0, 0 4 0
The expanded form of 630,040 is
_____________________________
_____________________________.
1 3 5, 3 7 61 3 5, 3 7 6
The expanded form of 135,376 is
_____________________________
_____________________________.
2 5 7, 5 1 42 5 7, 5 1 4
The expanded form of 257,514 is
_____________________________
_____________________________.
3 8 0, 2 0 63 8 0, 2 0 6
The expanded form of 380,206 is
_____________________________
_____________________________.
4 9 0, 5 0 84 9 0, 5 0 8
The expanded form of 490,508 is
_____________________________
_____________________________.
5 0 0, 6 3 05 0 0, 6 3 0
The expanded form of 500,630 is
_____________________________
_____________________________.
CCSS 4th Grade Numbers and Operations in Base Ten 2.2Write multi-digit numbers in expanded form.
How did I/you determine what the question is asking?How did I/you determine the math concept required?How did I/you determine the relevant information?How did I/you solve and interpret the problem?How did I/you check the reasonableness of the answer?
How did I/you determine what the question is asking?How did I/you determine the math concept required?How did I/you determine the relevant information?How did I/you solve and interpret the problem?How did I/you check the reasonableness of the answer?
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1
32
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Skill Development/Guided Practice (continued)
Skill Development/Guided Practice (continued)
Elise wrote the expanded form of 709,765 below. Do you agree with her answer? Why or why not?
Doris wrote the expanded form of 646,074 below. Do you agree with her answer? Why or why not?
CCSS 4th Grade Numbers and Operations in Base Ten 2.2Write multi-digit numbers in expanded form.
Does anyone else have another reason why it is relevant to write multi-digit numbers in expanded form? (Pair-Share) Why is it relevant to write multi-digit numbers in expanded form? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?
Does anyone else have another reason why it is relevant to write multi-digit numbers in expanded form? (Pair-Share) Why is it relevant to write multi-digit numbers in expanded form? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?
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RelevanceRelevance
Sample Test Question:
32. Alicia’s father has 630,235 stamps in his stamp collection. Which of the following equals 630,235?
A 6 + 3 + 2 + 3 + 5 B 600,000 + 3,000 + 200 + 30 + 5 C 600,000 + 30,000 + 200 + 30 + 5 D 6,000 + 3,000 + 200 + 300 + 500
Writing multi-digit numbers in expanded form will help you better understand what numbers mean.
Writing multi-digit numbers in expanded form will help you do well on tests.
My uncle George won the lottery. He won one hundred sixty-five thousand, nine hundred twenty-seven dollars.
Agnes did her work correctly; her partner Nolan did not.What should Agnes tell Nolan to help him? Explain your answer. ___________________________________________________
