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For 3–4, use the table.

U.S. Mountain PeaksName State Height (ft) Name State Height (ft)

Blanca Peak CO 14,345 Mount Whitney CA 14,494

Crestone Peak CO 14,294 University Peak AK 14,470

Humboldt Peak CO 14,064 White Mountain CA 14,246

3. Write the name of each mountain peak in the box that describes its height, in feet.

Between 14,000 feet and 14,300 feet

Crestone Peak, Humboldt Peak, White Mountain

Between 14,301 feet and 14,500 feet

Blanca Peak, University Peak, Mount Whitney

4. Circle the name of the tallest peak. Explain how you know which of the mountain peaks is the tallest.

Mount Whitney is the tallest. Possible explanation: I compared the heights by place value position.

5. Mr. Rodriguez bought 420 pencils for the school. If there are 10 pencils in a box, how many boxes did he buy?

A 42

B 420

C 430

D 4,200

6. Bobby and Cheryl each rounded 745,829 to the nearest ten thousand. Bobby wrote 750,000 and Cheryl wrote 740,000. Who is correct? Explain the error that was made.

Bobby is correct. Possible explanation: Cheryl left the ten thousands digit the same instead of increasing it by 1. The digit in the thousands place is 5, so to round to the nearest ten thousand, Cheryl should have increased the ten thousands digit, 4, by 1.

Personal Math TrainerOnline Assessment and Intervention

Assessment OptionsChapter Test

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Chapter 1 Review/Test

1. Select a number for ■ that will make a true comparison. Mark all that apply.

703,209 > ■

A 702,309 C 703,209 E 730,029

B 703,029 D 703,290 F 730,209

2. DEEPER Nancy wrote the greatest number that can be made using each of these digits exactly once.

5

3

4 9 8 1

Part A

What was Nancy’s number? How do you know this is the greatest possible number for these digits?

985,431; possible answer: I used place value. I took the greatest digit and placed it in the spot furthest to the left, the hundred thousands column. I placed the next greatest digit in the ten thousands column and so on. I know that the place value of each digit to the left is ten times the place value of the digit to its right.

Part B

What is the least number that can be made using each digit exactly once? Explain why the value of the 4 is greater than the value of the 5.

134,589; possible explanation: the 4 represents 4,000 and the 5 represents 500.

55–56 Chapter 1

Summative AssessmentUse the Chapter Review/Test to assess students’ progress in Chapter 1.

You may want to review with students the essential question for the chapter.

Chapter Essential QuestionHow can you use place value to compare, add, subtract, and estimate with whole numbers?

Ask the following questions to focus students’ thinking:

• How do you compare and order whole numbers?

• What are some strategies you can use to round whole numbers?

• How is adding and subtracting 5- and 6-digit numbers similar to adding and subtracting 3-digit numbers?

Chapter 1

Review/Test

Based on the results of the Chapter Review/Test use the following resources to review skills.

Key: R—Reteach (in the Chapter Resources)

Item Lesson Standard Content FocusPersonal

Math TrainerIntervene with

12 1.2 4.NBT.A.2 Read and write multi-digit whole numbers. 4.NBT.A.2 R—1.2

10, 15, 18 1.7 4.NBT.B.4 Subtract multi-digit whole numbers. 4.NBT.B.4 R—1.7

2, 11, 16, 17, 20

1.1 4.NBT.A.1 Describe whole number place value relationships. 4.NBT.A.1 R—1.1

6, 7, 14 1.4 4.NBT.A.3 Round multi-digit whole numbers. 4.NBT.A.3 R—1.4

1, 3, 4, 19 1.3 4.NBT.A.2 Compare two multi-digit numbers. 4.NBT.A.2 R—1.3

5 1.5 4.NBT.A.1 Use place value to rename whole numbers. 4.NBT.A.1 R—1.5

8, 9 1.6 4.NBT.B.4 Add multi-digit whole numbers. 4.NBT.B.4 R—1.6

13 1.8 4.NBT.B.4 Solve comparison problems with addition and subtraction. 4.NBT.B.4 R—1.8

Chapter 1

Personal Math Trainer

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11. For numbers 11a–11d, select True or False for each sentence.

11a. The value of 7 in 375,092 is 7,000. True False

11b. The value of 5 in 427,593 is 500. True False

11c. The value of 2 in 749,021 is 200. True False

11d. The value of 4 in 842,063 is 40,000. True False

12. Select another way to show 403,871. Mark all that apply.

A four hundred three thousand, eight hundred one

B four hundred three thousand, seventy-one

C four hundred three thousand, eight hundred seventy-one

D 400,000 + 38,000 + 800 + 70 + 1

E 400,000 + 3,000 + 800 + 70 + 1

F 4 hundred thousands + 3 thousands + 8 hundreds + 7 tens + 1 one

13. SMARTER Lexi, Susie, and Rial are playing an online word game. Rial scores 100,034 points. Lexi scores 9,348 fewer points than Rial and Susie scores 9,749 more points than Lexi. What is Susie’s score? Show your work.

100,435; 100,034 − 9,348 = 90,686; 90,686 + 9,749 = 100,435 Check students’ work.

14. There were 13,501 visitors to a museum in June. What is this number rounded to the nearest ten thousand? Explain how you rounded.

10,000; possible explanation: there is a 1 in the ten thousands

place. The digit to its right is 3, so the 1 stays the same.

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7. The total season attendance for a college team’s home games, rounded to the nearest ten thousand, was 270,000. For numbers 7a–7d, select Yes or No to tell whether the number could be the exact attendance.

7a. 265,888 Yes No

7b. 260,987 Yes No

7c. 274,499 Yes No

7d. 206,636 Yes No

For 8–10, use the table.

The table shows recent population data for Sacramento, California.

Population of Sacramento, CAAge in years Population Age in years Population

Under 5 35,010 20 to 34 115,279

5 to 9 31,406 35 to 49 92,630

10 to 14 30,253 50 to 64 79,271

15 to 19 34,219 65 and over 49,420

8. How many children are under 10 years old? Show your work.

66,416 children; 35,010 + 31,406 = 66,416 Check students’ work.

9. How many people are between the ages of 20 and 49? Show your work.

207,909 people; 115,279 + 92,630 = 207,909 Check students’ work.

10. How many more children are under the age of 5 than between the ages of 10 and 14? Show your work.

4,757 children; 35,010 − 30,253 = 4,757 Check students’ work.

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18. During September and October, a total of 825,150 visitors went to Grand Canyon National Park. If 448,925 visitors went to the park in September, how many visitors went to the park in October? Show your work.

376,225 people; 825,150 − 448,925 = 376,225Check students’ work.

19. A college baseball team had 3 games in April. Game one had an attendance of 14,753 people. Game two had an attendance of 20,320 people. Game three had an attendance of 14,505 people. Write the games in order from the least attendance to the greatest attendance. Use pictures, words, or numbers to show how you know.

Game three, Game one, Game two; possible answer: 14,505 < 14,753 < 20,320

20. Caden made a four-digit number with a 5 in the thousands place, a 5 in the ones place, a 6 in the tens place, and a 4 in the hundreds place. What was the number?

__5,465

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15. New Mexico has an area of 121,298 square miles. California has an area of 155,779 square miles. How much greater is the area, in square miles, of California than the area of New Mexico? Show your work and explain how you know the answer is reasonable.

34,481 square miles; 155,779 − 121,298 = 34,481; I estimated the difference as 160,000 − 120,000, or 40,000. The answer is close to the estimate of 40,000, so it is reasonable. Check students’ work.

16. Circle the choice that completes the statement.

10,000 less than 24,576 is

equal to

greater than

less than

1,000 less than 14,576

17. Match the number to the value of its 5.

45,678 500

757,234 50

13,564 50,000

3,450 5,000

Ch

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eview/Test

Performance Assessment TaskChapter 1See the Chapter Resources for a Performance Task that assesses students’ understanding of the content of this chapter.

For each task, you will find sample student work for each of the response levels in the task scoring rubric.

Performance Assessment Tasks may be used for portfolios.

Be sure to assign students Exercise 13 in

the Personal Math Trainer. It features an animation or video to help students model and solve the problem.

Assessm

Chapter 1 Review/Test 57–60