1. 576 348 1 6 3 2 2 7 - 413 - 121 We will subtract multi-digit numbers.
Learning Objective
We will subtract multi-digit numbers.
What are we going to do?
CFU
Activate Prior Knowledge
Subtraction (-) means to take away.
The difference is the answer to a subtraction problem. 1.
576
- 413 2.
348
- 121 1 6 3 2 2 7
Students, you already know how to subtract three-digit numbers. Now, we will subtract multi-digit numbers.
Make Connection

2. Concept Development
Subtraction (-) means to take away.
The difference is the answer to a subtraction problem.
To subtract, numbers are lined up by the place value of their digits.
Decomposing a number means moving a group of numbers to the next lower place value.
Decomposing is needed when the bottom digit is greater than the top digit in a place-value column1.
Subtracting Multi-Digit Numbers
Which choice shows 13, ,398 lined up correctly?
How do you know? A B
Which subtraction problem needs decomposing?
CFU
Monique had $36,785 saved for her college fund. Yesterday, she withdrew $9,317 for tuition. How much money does Monique have left? 7 8 5 3 1 - 4 6 6, 9, 7, 2
1 lined up and down (gesture)
Vocabulary
Monique has $27,468 left.

3. Skill Development/Guided Practice
Subtraction (-) means to take away.
Decomposing a number means moving a group of numbers to the next lower place value.
Decomposing is needed when the bottom digit is greater than the top digit in a place-value column.
Read the problem and identify2 what is being subtracted, if necessary.
Line up the numbers by the place value of their digits, if necessary.
Subtract the digit in each place value. Hint: Start from the ones place.
Decompose a number, if needed.
Hint: Move a group of numbers to the next lower place value.
Interpret3 the difference. “The difference of _______ and _______ is _______.”
Subtract multi-digit numbers. 1 2 3 a 4
How did I/you identify what is being subtracted?
How did I/you line up the digits by place value?
How did I/you subtract each digit?
How did I/you decompose a number?
CFU 2 3a 3 1
1. 71, ,325 =
2. 64, ,368 =
3. 54, ,462 =
4. 48, ,594 =
58,131
42,129 - 3 2 5 4 1 7 6 6 - 2 3 6 9 4 7 8 8 1 1 5 8 1 3 1 4 2 1 2 9
47,411
45,082 - 4 - 5 5 1 4 8 7 3 4 8 6 1 7 6 7 4 6 2 3 5 9 4
2 find
3 explain
Vocabulary 4 7 4 1 1 4 5 8 2

4. Skill Development/Guided Practice (continued)
Subtraction (-) means to take away.
Decomposing a number means moving a group of numbers to the next lower place value.
Decomposing is needed when the bottom digit is greater than the top digit in a place-value column.
Read the problem and identify what is being subtracted, if necessary.
Line up the numbers by the place value of their digits, if necessary.
Subtract the digit in each place value. Hint: Start from the ones place.
Decompose a number, if needed.
Hint: Move a group of numbers to the next lower place value.
Interpret the difference. Hint: Answer the question.
Subtract multi-digit numbers. 1 2 3 a 4
How did I/you identify what is being subtracted?
How did I/you line up the digits by place value?
How did I/you subtract each digit?
How did I/you decompose a number?
CFU 2 3a 3 1
5. The population of Turlock, CA , is 80,549 people. If 5,413 people were to move away, how many people would be left in Turlock?
____________________ would be left in Turlock.
6. The circumference4 of Earth is 40,075 kilometers. The circumference of the Moon is 10,921 kilometers. How many more kilometers is the circumference of the Earth than the Moon?
The circumference of the Earth is ______________________
more than the circumference of the Moon. 7
8 0, 5 4 9 1 -
5, 4 1 3 7 5, 1 3 6
75,136 people 3 9
4 0, 0 7 5 1 1 -
1 0, 9 2 1
29,154 kilometers 2 9, 1 5 4
4 distance around
Vocabulary

5. Skill Development/Guided Practice (continued)
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?
CFU 2 1 3 4 5
Marcella solved the following addition problems. Flavia thinks that she made some mistakes. Identify any mistakes that Marcella made and correct them.
Marcella did not decompose this number.
Marcella did not decompose these numbers.

6. Relevance
Subtraction (-) means to take away.
Decomposing a number means moving a group of numbers to the next lower place value.
Decomposing is needed when the bottom digit is greater than the top digit in a place-value column. 1
Subtracting multi-digit numbers will help you describe amounts.
35,479
35,329
Alex has 35,479 baseball cards. He gave away a box of 150 of his cards. How many baseball cards does he have now?
Nelson Caraveo
Bakersfield Bears 3B 2
Subtracting multi-digit numbers will help you do well on tests.
Sample Test Question:
72. Jen has 23,182 stamps. If she gives away 1,438, how many stamps will she have left?
A 24,510
B 21,744
C 22,744
D 24,620
Does anyone else have another reason why it is relevant to subtract multi-digit numbers? (Pair-Share) Why is it relevant to subtract multi-digit numbers? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?
CFU

7. Subtraction (-) means to take away.
Decomposing a number means moving a group of numbers to the next lower place value.
Decomposing is needed when the bottom digit is greater than the top digit in a place-value column.
Word Bank
subtract
difference
place value
decompose
Skill Closure
Read the problem and identify what is being subtracted, if necessary.
Line up the numbers by the place value of their digits, if necessary.
Subtract the digit in each place value. Hint: Start from the ones place.
Decompose a number, if needed.
Hint: Move a group of numbers to the next lower place value.
Interpret the difference. Hint: “The difference of ___ and ___ is ___.” or Answer the question.
Subtract multi-digit numbers. 1 2 3 a 4
1. 41, ,238 =
2. The population of Tehachapi, CA, is 14,414 people. If 5,305 people moved away, how many people would be left in Tehachapi?
________________ would be left in Tehachapi.
20,218 - 1 2 3 5 4 6 8 4
1 4, 4 1 4 1 1 1 -
5, 3 0 5 9, 1 9 2 2 1 8
9,109 people
Access Common Core
Which subtraction problems below require decomposing? Explain your answer.
A and B have digits in the bottom number that are larger than those in the top number. A
60,169
- 36,420 B
44,056
- 16,479 C
79,853
- 50,531 D
99,995
- 18,121
Summary Closure
What did you learn today about subtracting multi-digit numbers? (Pair-Share) Use words from the word bank.

8. Independent Practice
Addition (+) means to put together.
Composing a number means moving a group of numbers to the next higher place value.
Composing is needed when the sum is 10 or more in a place-value column.
Read the problem and identify what is being subtracted, if necessary.
Line up the numbers by the place value of their digits, if necessary.
Subtract the digit in each place value. Hint: Start from the ones place.
Decompose a number, if needed.
Hint: Move a group of numbers to the next lower place value.
Interpret the difference. Hint: “The difference of ___ and ___ is ___.” or Answer the question.
Subtract multi-digit numbers. 1 2 3 a 4
1. 21, ,116 =
2. 75, ,262 =
3. James has $35,646 saved. This week he spent $4,758. How much money does James have left?
James has ____________________ left.
10,321
72,386 - 1 3 4 2 7 6 - 5 7 5 6 1 4 8 3 2 6 2 1 3 2 1 7 2 3 8 6 4 15 13
3 5, 6 4 6 1 1 1 -
4, 7 5 8 3 0, 8 8 8
$30,888

9. Explain how you know a subtraction problem will need decomposing.
Access Common Core
Before completing the problems below, identify the subtraction problems that will need decomposing. In which place value is decomposing needed?
Explain how you know a subtraction problem will need decomposing.
Periodic Review 1 8
1c.
1b.
1a. - 7 9 5 6 3 8 2 4 1 5 1 1 3 1 2 6 3 4 9 7 4 3 3 8
2c.
2b.
2a. - 9 2 6 5 4 7 8 1 3 4 4 1 1 2 1 4 6 4 9 2 2 1 5 8 1 3 1
3c.
3b.
3a. - 5 9 1 3 7 2 6 4 8 4 2 8 1 1 1 5 7 6 7 2 3 8 8 5 7 1 2 2

10. Periodic Review 2
1. A humpback whale weighs 41,738 kilograms. A great white shark weighs 1,954 kilograms. How much more does a humpback whale weigh than a great white shark?
The whale weighs ________________________ more.
2. A male hippopotamus weighs 3,874 kilograms. A female hippopotamus weighs 2,153 kilograms. How much more does a male hippopotamus weigh?
The male hippopotamus weighs ________________________ more.
4 1, 7 3 8 -
1, 9 5 4 3 9, 7 8 4
39,784 kilograms
3, 8 7 4
2, 1 5 3 - 1, 7 2 1
1,721 kilograms
Access Common Core
Lilia spilled White-Out on her math homework.
Help Lilia fix her homework by filling in the missing numbers.
Explain how you knew which numbers were missing. 1 2 6 8 8 5 7 1. 2. 3. 4 2 5 5 6 2 5 1 7 3 1 2 3 5 9 6 1 5 7 1 3 9 - 4 2 7 1 8 - 2 2 1 3 7 - 2 8 2 5 1 1 3 5 3 9 5 3 4 2 9 7 4 8 8

11. Whoever solved the problems never decomposed numbers.
Periodic Review 3
1. Neil has a collection of 87,519 stamps. He gives 6,584 of his stamps to his friend Jamie. How many stamps does Neil have left?
Neil has ________________________ left.
8 7, 5 1 9 -
6, 5 8 4 8 0, 9 3 5 - 5 4 8 2 3 1 6 7
80,935 stamps
Access Common Core
1. Describe and correct the error made in each of the subtraction problems.
1a.
1b.
1c.
Whoever solved the problems never decomposed numbers.

12. Access Common Core
2. Describe and correct the error made in each of the subtraction problems.
2a.
2b.
2c.
Whoever solved the problems subtracted the smaller digit from the larger digit. - 5 9 7 1 6 8 2 4 3 1

13. EDI – Cognitive, Teaching, and English Learner Strategies
Learning Objective:
We will subtract multi-digit numbers.
Cognitive Strategies
Teaching Strategies
Elaboration
Demonstration
Language Strategies
Targeted Vocabulary
Academic
column, identify, interpret
Content
subtraction, difference, decomposing, circumference
Support
Vocabulary
Strategy
Multiple-Meaning
Synonym
identify, interpret
Definition
column, subtraction, difference, decomposing, circumference
Homophone
Internal Context Clue
Listen, Speak
Similar Sounds
Read
Tracked Reading
Write
Writing
Content Access Strategies
Comprehensible Input
Cognates
Contextual Clues
Graphic Organizer
Contextualized Definitions
Pictures