2.5 Numbers to 1,000
Unit Goals
 Students extend place value understanding to threedigit numbers.
Section A Goals
 Read, write, and represent threedigit numbers using baseten numerals and expanded form.
 Use place value understanding to compose and decompose threedigit numbers.
Section B Goals
 Compare and order threedigit numbers using place value understanding and the relative position of numbers on a number line.
 Represent whole numbers up to 1,000 as lengths from 0 on a number line.
Section A: The Value of Three Digits
Problem 1
Preunit
Practicing Standards: 1.NBT.B.2
 35 has \(\underline{\hspace{0.9cm}}\) tens and \(\underline{\hspace{0.9cm}}\) ones.
 52 has \(\underline{\hspace{0.9cm}}\) tens and \(\underline{\hspace{0.9cm}}\) ones.
Solution
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Problem 2
Preunit
Practicing Standards: 1.NBT.B.3, 2.NBT.A.4
Write \(<\), \(=\), or \(>\) in each box to make the statement true.

\(90 + 5\) \(\,\boxed{\phantom{\frac{aaai}{aaai}}}\,\) \(70 + 10 + 10 + 10 + 5\)

\(116\) \(\,\boxed{\phantom{\frac{aaai}{aaai}}}\,\) \(100 + 10 + 6\)

\(10 + 10 + 20 + 3\) \(\,\boxed{\phantom{\frac{aaai}{aaai}}}\,\) \(38\)
Solution
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Problem 3
Preunit
Practicing Standards: 1.NBT.A.1, 1.NBT.C.5
Select all pictures that show 100.
Solution
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Problem 4
Explain how you see each of these in the picture.
 100 ones
 10 tens
 1 hundred
Solution
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Problem 5
 How many hundreds are the same as 50 tens? Explain your reasoning.
 How many tens are the same as 6 hundreds? Explain your reasoning.
Solution
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Problem 6
Here is a baseten diagram.
 Draw another baseten diagram to represent the same total value with the fewest number of each unit.
 Write the number represented by the diagram as a threedigit number. __________
 Can you make the same number with more baseten blocks? Show your thinking using drawings, numbers or words.
Solution
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Problem 7
 What threedigit number has 5 hundreds, 1 ten, and 6 ones?
 What threedigit number has 6 tens, 1 hundred, and 5 ones?
 What threedigit number has 1 one, 5 tens, and 6 hundreds?
Solution
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Problem 8

Represent each sum as a threedigit number.
\(300 + 80 + 6\)
\(40 + 7 + 600\)

Represent each number as the sum of hundreds, tens, and ones.
823
407
Solution
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Problem 9
Represent the number 235 in these ways.
 a baseten diagram
 expanded form
 words
Solution
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Problem 10
Exploration
 Can you represent the number 218 without using any hundreds? Explain your reasoning.
 Can you represent the number 218 without using any tens? Explain your reasoning.
 Can you represent the number 218 without using any ones? Explain your reasoning.
Solution
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Problem 11
Exploration
Here are baseten diagrams for two numbers.
 Which diagram represents a greater number? Explain how you know.
 For which diagram is it easier to figure out the number it represents? Why?
Solution
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Section B: Compare and Order Numbers within 1,000
Problem 1

What number is represented by the point on the number line? 
Locate and label 738 on the number line.
Solution
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Problem 2

Estimate the location of 247 and 274 on the number line. Mark each number with a point. Label the point with the number it represents.
 Use \(<\), \(>\), or \(=\) to compare 247 and 274. Explain your reasoning.
Solution
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Problem 3
Here are diagrams for two numbers.
 Which two numbers are pictured in the diagrams.
 Which number is larger? How do you know?
 Use \(<\) or \(>\) to compare the numbers.
Solution
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Problem 4

Find one number that goes in the blanks to make both equations true.
\(\underline{\hspace{1.5cm}} < 513\)
\(\underline{\hspace{1.5cm}} > 479\)

Can you find one number that goes in the blanks to make both equations true? Explain or show your reasoning.
\(\underline{\hspace{1.5cm}} > 718\)
\(\underline{\hspace{1.5cm}} < 709\)
Solution
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Problem 5

Locate 441, 418, 481, 487, and 429 on a number line. Mark each number with a point. Label each point with the number it represents.
 Order the numbers from greatest to least.
Solution
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Problem 6
Exploration
Mile markers are markers on the road with numbers listed in order. During a trip, Mai first saw this mile marker. The last mile marker she saw was Mile 173.

Show on the number line the first and last mileage markers Mai went by on the road.
 Which mile markers with 0 in the ones place did Mai pass? Explain your reasoning and label these on the number line.
Solution
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Problem 7
Exploration
 What is the largest threedigit number you can make with the numbers 2, 3, 6, 7, and 9 ? (You can use each number at most once.) Explain your reasoning.
 What is the smallest threedigit number you can make with the numbers 6, 3, 9, 7, and 2? (You can use each number at most once.) Explain your reasoning.
Solution
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