Math Unit 4, Lesson 12

Expressions and Equations
4

Unit 4

Lesson 12

From Hundredths to Hundred-thousands

Compare Multi-digit Numbers

Learning

Goal

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Let’s compare large
numbers.

Unit 4 ● Lesson 12

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Which One Doesn’t Belong?

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Unit 4 ● Lesson 12 ● Warm-up

Friendly Numbers

Which one doesn’t belong?

1. 1,395

2. 3,095

3. 9,530

4. 30,195

●These numbers have mostly the same digits—0, 1, 3, 5, and 9. Are they
all the same size?

●Which of these is the greatest? How do you know?

●The other numbers are all four-digit numbers. How might we compare
them?

Multiple Select

Which one doesn't belong?

• 1,395

• 3,095

• 9,530

• 30,195

Poll

1,395 3,095 9,530 30,195

These numbers have mostly the same digits-0,1,3,5,9. Are the all the same size?

• Yes

• No

Multiple Choice

1,395 3,095 9,530 30,195

Which of these is the greatest? How do you know?

• 30,195

• 3,095

• 1,395

• 9,530

Open Ended

1,395 9,530 3,095

These numbers all have four digits. How might we compare them?

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Launch

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Which is Greater?

Unit 4 ● Lesson 12 ● Activity 1

What three-digit numbers can we make with 5, 7, and 3?

Open Ended

What are all the three-digit numbers that we can make with 5,7, and 3?

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Which is Greater?

Unit 4 ● Lesson 12 ● Activity 1

Your teacher will give you a set of cards, each with a single digit, 0–9.

1. Use the cards for 2, 7, and 8 to make two different three-digit numbers.

Use < or > to compare them.

1. Now include the digit 1 to make two different four-digit numbers.

Compare the numbers.

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Which is Greater?

Unit 4 ● Lesson 12 ● Activity 1

3. Shuffle the cards. Repeat what you did earlier with new cards.

a. Four-digit numbers

a. Five-digit numbers

a. Six-digit numbers

4. For each pair you compared, how did you decide which number is

greater?

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Activity Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Which is Greater?

Unit 4 ● Lesson 12 ● Activity 1

Let’s share our number statements and read each one.

How did you decide which number is greater? Did you compare every digit?

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Incomplete Numbers

Unit 4 ● Lesson 12 ● Activity 2

1. Here are two numbers. In both, the missing digit is the same number.

●Han says the numbers can’t be compared because they are
incomplete.

●Clare says the second number is greater, no matter what the
missing digit is.

Do you agree with either one of them? Explain your reasoning.

Poll

Here are two numbers. In both, the missing ? is the same number.

?17 and ?62

Han says the numbers can't be compared because they are incomplete. Do you agree with him, Yes or No?

• Yes

• No

Poll

Here are two numbers. In both, the missing? is the same number.

?17 and ?62

Clare says the second number (?62) is greater, no matter what the missing digit is. Do you agree with Clare?

• Yes

• No

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

2. Here are some pairs of numbers. The numbers in each pair are missing

the same digit. Can you tell which number is greater? Be prepared to
explain your reasoning.

Incomplete Numbers

Unit 4 ● Lesson 12 ● Activity 2

Multiple Choice

Here is a pair of numbers. The numbers in each pair are missing the same digit. Can you tell which number is greater? Be prepared to explain your reasoning.

49_ or 3_9

• Yes

• No

Multiple Choice

Here is a pair of numbers. The numbers in each pair are missing the same digit. Can you tell which number is greater? Be prepared to explain your reasoning.

1,_72 or 1,_85

• Yes

• No

Multiple Choice

Here is a pair of numbers. The numbers in each pair are missing the same digit. Can you tell which number is greater? Be prepared to explain your reasoning.

8,_16 or 5,8_2

• Yes

• No

Multiple Choice

Here is a pair of numbers. The numbers in each pair are missing the same digit. Can you tell which number is greater? Be prepared to explain your reasoning.

27,_95 or 2_,745

• Yes

• No

Multiple Choice

Here is a pair of numbers. The numbers in each pair are missing the same digit. Can you tell which number is greater? Be prepared to explain your reasoning.

?90,165 or 9_0,064

• Yes

• No

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Activity Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Incomplete Numbers

Unit 4 ● Lesson 12 ● Activity 2

How can you tell which number is greater?

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Is It Possible?

Unit 4 ● Lesson 12 ● Activity 3

1. Each of the following pairs of numbers is missing the same digit but in

different places.

Your teacher will assign a digit to you. Use it as the missing digit and
decide if each comparison statement is true.

Multiple Choice

Each of the following pairs of numbers is missing the same digit but in different places.

Use the missing digit and decide if each comparison is true or false.

?,999 is greater than ?,500

The missing number is 7

• True

• False

Multiple Choice

Each of the following pairs of numbers is missing the same digit but in different places.

Use the missing digit and decide if each comparison is true or false.

12,2_0 is greater than 15,_02

The missing number is 5

• True

• False

Multiple Choice

Each of the following pairs of numbers is missing the same digit but in different places.

Use the missing digit and decide if each comparison is true or false.

4_,700 is less than 7_,400

The missing number is 2

• True

• False

Multiple Choice

Each of the following pairs of numbers is missing the same digit but in different places.

Use the missing digit and decide if each comparison is true or false.

1_5,000 is greater than 5_1,000

The missing number is 6

• True

• False

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Is It Possible?

Unit 4 ● Lesson 12 ● Activity 3

2. Here are two numbers, each with the same missing digit.

Choose a digit to complete the numbers and show where they would
be on the number line

2. Is it possible to fill in the two blanks with the same digit to make each

statement true? If you think so, give at least one example of what the
digits could be. If not, explain why it is not possible..

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Activity Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Is It Possible?

Unit 14● Lesson 12 ● Activity 3

Let’s look at those last two problems.

●What do you know about the value of the digits?

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Lesson Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Compare Multi-digit Numbers

Unit 4 ● Lesson 12

Today we compared many large numbers. At first, all the digits of the
numbers being compared were known. Later in the lesson, one digit of
each number was missing, but in many cases we were still able to compare
the size of the numbers.

●Suppose a classmate says that we can’t compare 380,__51 and
384,__89 because a digit is missing from each. How might you convince
them that it can be done? Write down what you might say to that
classmate.

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Cool-down

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Two Numbers To Compare

Unit 4 ● Lesson 12

Here are two numbers, each with the same digit missing in different places.

1. If the missing digit in both numbers is 1, which number will be greater:

the first or the second?

2. Name all the digits from 0 to 9 that will make the second number

greater. Explain how you know.

4

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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