Place Value of Whole Numbers-Answers

Lesson 2.1 – Place Value to Hundred Thousands

You can read and write large numbers, such as the distance from the Earth to the moon.

Use the chart to see the value of 4 in each place-value position for the number 444, 444

Thousands / Ones
Hundred / Tens / Ones / Hundreds / Tens / Ones
4 x 1
4 x 10
4 x 100
4 x 1000
4 x 10 000
4 x 100 000
= 4
= 40
= 400
= 4 000
= 40 000
= 400 000
= 444 444

Talk about it…

  • How does the value of the 4 change as it moves from right to left?
  • How does the expanded form of 444, 444 show a pattern of zeros?
  • How can you find the value of a digit when you know its place value position?

Practice Questions

Write the value of the digit 8 in each number.

Example: The value of the digit 4 in the number 486 is 400 or four hundreds

  1. 1, 486 ______
  2. 38, 042______
  3. 854, 369______
  4. 781, 203______

Write the value of the bolded digit

5. 560______

6. 4, 086 ______

7. 13, 859______

8. 618, 097______

9. 47, 092______

10. 302, 561 ______

11. 712, 583 ______

12.609, 532 ______

13. 507, 146 ______

14. 168, 290 ______

Practice

Write the value of the bolded digit.

15. 475, 902 ______

16. 695, 337 ______

17. 980, 765 ______

18. 871, 253 ______

19. 301, 584 ______

20. 820, 426 ______

21. 713, 225 ______

22. 214, 607 ______

Complete…

  1. 765, 910 = (______x 100 000) + (_____x 10, 000) + (_____x 1000) + (_____ x 100) + (______x 10) + (______x 1)
  2. 802, 054 = (_____x 100 000) + (_____x 10, 000) + (_____x 1000) + (_____ x 100) + (______x 10) + (______x 1)
  3. 642, 703 = (_____x 100 000) + (______x 10, 000) + (_____x 1000) + (_____ x 100) + (______x 10) + (______x 1)

Write the expanded numbers in standard form.

  1. 200, 000 + 50, 000 + 6, 000 + 900 + 80 + 3 =
  2. 400, 000 + 90, 000 + 1, 000 + 700 + 20 + 3 =
  3. 700, 000 + 0 + 4, 000 + 200 + 30 + 5 =
  4. 900, 000 + 90, 000 + 0 + 900 + 0 + 9 =

Problem Solving

  1. The Earth’s equator measures 24, 902 mi. Write the value of the digit 4 in this number.

______

  1. I am a number greater than 149, 998 but less than 150, 000. What number am I?

______

  1. Explain how you know the value of the digit 7 in the number 742, 126.

______

Place Value Lesson 2.1 Review Questions

Write the value of the bold-faced digit.

1. 251, 469______

2. 747,322______

3. 638, 415______

Complete.

  1. 371, 695 = (____ x 100 000) + (____ x 10 000) + (____ x 1 000) + (____ x 100) + (____ x 10) + (____ x 1)
  1. 279, 956 = (____ x 100 000) + (____ x 10 000) + (____ x 1 000) + (____ x 100) + (____ x 10) + (____ x 1)
  1. 986, 741 = (____ x 100 000) + (____ x 10 000) + (____ x 1 000) + (____ x 100) + (____ x 10) + (____ x 1)

Write the expanded numbers in standard form.

  1. 400 000 + 70 000 + 9 000 + 500 + 60 + 9 ______
  2. 100 000 + 90 000 + 0 + 300 + 0 + 1 ______
  3. 700 000 + 50 000 + 5 000 + 0 + 40 + 6 ______
  4. 600 000 + 80 000 + 3 000 + 0 + 0 + 0 ______

Unit Two: Place Value of Whole Numbers

Lesson 2.2 – Place Value of Larger Numbers

You can recognize and interpret large numbers such as the distances between the planets and the sun.

What kinds of movies are most popular? If you look at the data, you will find that animated cartoons and movies about outer space are among the favorites. In the year it was released, the film Apollo 13 earned about

$334, 100, 000.

Look at the number on the place-value chart. One million is 1,000 thousands

Millions / Thousands / Ones
Hundreds / Tens / Ones / Hundreds / Tens / Ones / Hundreds / Tens / Ones
3 / 3 / 4 / 1 / 0 / 0 / 0 / 0 / 0

Standard Form: 334, 100, 000

Expanded Form: 300, 000, 000 + 30, 000, 000 + 4, 000, 000 + 100, 000 + 0 + 0 + 0 + 0 + 0

Word Form: three hundred thirty-four million, one hundred thousand

REMEMBER: Each group of three numbers in a large number is called a period.

Talk about it…

  • Why is a comma used to separate large numbers?
  • What is alike about the millions, thousands and ones (the periods)?
  • How many 1,000’s are in 1, 000, 000?

By October 1997, the two films JurassicPark and The Lost World together had earned more than $1, 096, 599, 010.

  • How many hundred millions are in one billion?

Look at the number on the place-value chart. One billion is 1, 000 millions.

Billions / Millions / Thousands / Ones
Hundreds / Tens / Ones / Hundreds / Tens / Ones / Hundreds / Tens / Ones / Hundreds / Tens / Ones
1 / 0 / 9 / 6 / 5 / 9 / 9 / 0 / 1 / 0

Standard Form: 1, 096, 599, 010

Expanded Form: 1, 000, 000, 000 + 90, 000, 000 + 6, 000, 000 + 500, 000 + 90, 000 + 9000 + 0 + 10 + 0

Word Form: one billion, ninety-six million, five hundred ninety-nine thousand, ten

Practice Questions

Write the value of the bolded digit.

Example: The value of the digit 4 in the number 486 is 400 or four hundreds

  1. 46, 785, 039 ______
  2. 39, 806, 527______
  3. 5, 148, 713, 002______
  4. 268, 432, 116______
  5. 4, 956, 630, 210______
  6. 780, 904, 652______

Write each number in standard form.

  1. five million, three hundred two thousand, fourteen

______

  1. twelve billion, six hundred eleven thousand, one hundred seven

______

Use the number 4, 302, 698, 051 to answer questions 9 -12

  1. Write the number in expanded form.

______

  1. Write the number in word form.

______

  1. Write the name of the period that has the digits 698

______

  1. Write the place value position of the digit 4

______

Write each number in standard form.

  1. two million, three hundred six thousand, fifteen

______

  1. thirty billion, two hundred nine thousand, five hundred eight

______

  1. three hundred forty-five billion, eight hundred seventy million, two hundred ninety thousand, four hundred ninety-two

______

  1. twenty-two billion, eight hundred sixty-three million, four hundred ten thousand, thirty

______

Write two other forms for each number.

  1. 65, 200, 108

______

  1. 207, 910, 036

______

  1. 1, 480, 200, 965

______

  1. 500, 000, 000 + 80, 000, 000 + 0 + 400, 000 + 0 + 1000 + 200 + 9

______

  1. sixteen billion, forty-two million, seven hundred eleven thousand, one

______

  1. 1, 000, 000, 000 + 300, 000,000 + 0 + 1, 000, 000 + 500, 000 + 60 000 + 0 + 800 + 0 + 1

______

  1. seven hundred thirty million, eight hundred ninety-five thousand, fifteen

______

Problem Solving

Use the data in the following chart to complete the following questions.

Movie / 1st Year’s Earnings
The Lion King / $670, 900, 000
Pocahontas / $342, 600, 000
Apollo 13 / $334, 100, 000
  1. Write the earnings of The Lion King in word form.

______

  1. What was the sum in earnings of The Lion King and Pocahontas?

26. What was the difference in earnings between The Lion King and Apollo 13?

Lesson 2.2 Review

Write the value of the bold-faced digit.

1. 301,724, 469______

2. 426, 379, 831______

3, 234, 567, 890______

4. 189, 612, 357______

5. 521, 874, 394______

6. 879, 464, 890______

Write two other forms for each number

  1. 125, 740, 689

______

  1. 200, 403, 926

______

9. 600 000 000 + 0 + 9 000 000+ 700 000 + 60 000 + 0 + 400 + 30 + 1

______

10. eight hundred ninety-five million, four hundred six thousand, two hundred twenty-five

______

Unit Two: Place Value of Whole Numbers

Lesson 2.3 – Comparing and Ordering Numbers

You can compare distances, such as the distance from home to school and to the store.

The Pacific Ocean and the Indian Ocean are two of the deepest on Earth. The average depth of the Indian Ocean is 12, 598 ft. The average depth of the Pacific Ocean is 12, 925 ft. Compare these two numbers to find which ocean has the greater average depth.

Compare numbers by comparing the digits in each place-value position. Start at the left. Check each place until the digits are different.

Step One
Compare the ten thousands
12, 598
12, 925
Same number of ten thousands / Step Two
Compare thousands
12, 598
12, 925
Same number of thousands / Step Three
Compare hundreds
12, 598
12, 925
9 > 5 (9 is greater than 5)

Since 12, 925 > 12, 598, the Pacific Ocean has the greater average depth.

Order numbers by comparing them in the same way. Order these numbers from greatest to least:

24, 78525, 86422, 678

Step One
Compare the ten thousands / Step Two
Compare thousands / Step Three
Order the numbers

Talk about it…

  • How would you order the numbers from least to greatest?

Practice Questions

Start at the left. Name the first place-value position where the numbers DIFFER.

1. 1, 7331, 418______

2.25, 67025, 680______

3.178, 452179, 452______

4.9, 67812, 768______

5.807870______

6.205, 769205, 796______

Practice

Write <, >, or = for each blank.

7. 489 ____ 498

8. 5, 650 ____ 5, 650

9. 7, 890 ____ 8, 790

10. 187, 418 ____ 187, 418

11. 2, 450 000 ____ 2, 500, 000

12. 6, 158, 000, 000 ____ 6, 160. 000 000

Order from greatest to least

13. 397; 379; 739______

14. 5, 217; 5, 721; 7, 521 ______

15. 16, 295; 16, 925; 19, 625 ______

16. 418, 562; 481, 562; 418, 562 ______

17. 3, 050, 000; 3, 500, 000; 5, 300, 000 ______

Order from least to greatest.

18. 895; 590; 589______

19. 4, 210; 2, 410; 4, 120 ______

20. 49, 086; 49, 680; 48, 690 ______

21. 235, 289; 236, 287; 236, 178 ______

22. 1, 800, 000, 000; 1, 600, 000, 000; 1, 900, 000, 000

______

Problem Solving

Use the data in the following chart to complete the following questions.

United States National Parks
Name / Location / Acres
MammothCave / Kentucky / 52, 419
BryceCanyon / Utah / 35, 835
Mesa Verde / Colorado / 52, 122
KingsCanyon / California / 461, 901
Mount Rainier / Washington / 235, 612

23. Which of these national parks covers the most acres?

______

24. Which national park is larger, Mammoth Cave or Mesa Verde?

______

25. How much larger is Kings Canyon National Park than Mount Rainier Nation Park? Show your work.______

  1. What is the difference in the number of acres in the largest park and the number of acres in the smallest park? Show your work ______
  1. List the national parks in order from the park with the fewest acres to the park with the most acres.

______

Lesson 2.3 Review Questions

Write < or > or –= for each blank

  1. 532 ____ 523
  2. 6, 475 ____6, 574
  3. 7, 821 ____ 7, 821
  4. 59, 495 ____ 54, 945

Order from greatest to least

5.354; 345; 435______

6.7, 685; 7, 865; 7, 568______

7.45, 732; 47, 325; 42, 537______

8.654, 837; 675, 384; 648, 753______

Order from least to greatest

9.647; 746; 467______

10.6, 785; 6, 878; 6, 587______

11.15, 234; 15; 423; 15, 342______

12.324, 987; 432, 789; 734, 298______

For Problems 13 – 15 use the table

Waterfall / Length
Victoria Falls / 355 Ft
YellowstoneFalls / 308 Ft
Churchill falls / 250 Ft
Iguacu falls / 280 Ft
  1. Which of these waterfalls is the longest? ______
  2. Which waterfall is longer, IguacuFalls or Churchill Falls?

______

  1. How much longer is Victoria Falls than Churchill Falls?

Unit Two: Place Value of Whole Numbers

Lesson 2.4 – Problem-Solving Strategy; Using a Table

Use the table of data (on back) to help answer the questions below.

The Problem: Tammy’s class will take a 6 day field trip during the Spring Break. The planning committee has recommended five trips. The principal asked the committee to narrow down the choices to the three trips with the least traveling distances. The parents asked the class to choose, from those three trips, the one that costs the least. Which trip will the class take?

Understand:

  • What are you asked to do?
  • What information will you use?
  • Is there information you will not use? If so, what?

Plan:

  • What strategy can you use to solve the problem? YOU CAN USE A TABLE…(on the back)

Solve:

  • How can a table help you solve this problem?”

The table organizes the data. Compare the distances. Find the 3 trips with the least distances. Then choose from those three the one that costs the least.

Trip 1 / Trip 2 / Trip 3 / Trip 4 / Trip 5
Place / New York City / Washington, D.C. area camp out / KennedySpaceCenter / Dude Ranch / Mountain Camping
Points of interest / Museums
FamousLand marks / National Landmarks
Smithsonian / Space Shuttle and Museum
Space Camp / Horseback Riding
Hikes / Hiking
Rafting
Canoeing
Traveling distance / 2, 456 mi / 1, 198 mi / 1, 748 mi / 1, 308 mi / 1, 099 mi
Cost (per student) / $ 1, 375 / $325 / $1, 067 / $410 / $351

The three trips with the least distances are: Trips 5, 2 and 4. So, the least costly of those three trips is Trip 2 to Washington, D.C. at $325 per student.

Look Back:

  • How does the table help you find the answer?
  • What other strategy could you use?

Practice Questions

Use the table to solve.

  1. This table shows some capital cities in the United States and their populations.
  2. Which of these cities has the greatest population?
  1. Which of these cities has the least population?

Capital Cities
Cities / State / Population
Atlanta / Georgia / 394, 017
Juneau / Alaska / 26, 751
Phoenix / Arizona / 983, 392
Montpelier / Vermont / 8, 247
Sante Fe / New Mexico / 55, 859
  1. The table on the next page shows five states in the Unites States and their areas in square miles.
  2. Which of these states has the greatest area?
  1. Which of these states has the least area?

U.S. States
Name / Area (square miles)
New Jersey / 8, 722
Michigan / 96, 705
California / 163, 707
Delaware / 2, 489
Nevada / 110, 567

Mixed Applications

Solve.

  1. The highest waterfall in the world is AngelFalls in Venezuela. How much higher is AngelFalls than YosemiteUpperFalls?

Waterfalls
Falls / Height (in ft)
Angel / 13, 212
Yosemite Upper / 4, 430
  1. The Browns drove a total of 540 miles in 2 days. They drove twice as far on Tuesday as they did on Monday. How many miles did they drive on Monday? On Tuesday?
  1. Elena’s family is planning a trip. They can go to either the beach or the mountains. They can drive, fly or take the train to their destination. Make a list of their choices.
  1. Carmen spent $18 on a ticket to a theme park. She spent $6 for food during the day, and she bought a gift for $5. Carmen had $6 when she got home. How much money did she have when she left home?
  1. Melba arrived at the Atlanta airport at 3:30. Her airplane flight took 1 hour. She was at the airport for 45 minutes before her flight left. It took her 30 minutes to drive to the airport from her house. At what time did she leave her house?

Unit Two: Place Value of Whole Numbers

Lesson 2.5 – Review

The following questions are a review of the materials that will be on your summative assessment. As you complete these questions, be sure to look back at the last four lessons if you have trouble.

Practice

Write two other forms for each number.

  1. 10, 092

______

  1. 40, 000 + 0 + 500 + 60 + 3

______

Write the value of the bolded digit

3.406, 213, 893______

4.42, 067______

5.973, 536______

6.211, 356, 841______

Write < or > or = for each blank

7.489_____498

8.5, 650_____5, 650

9.7, 890, 000_____8, 790, 000

Problem Solving: Choose a strategy and a tool to complete each of the following. You may want to draw a diagram or use a table.

  1. Each 1 of 4 walls in a room is 40 ft long. If stereo speakers are placed every 20 ft, how many speakers are in the room. Show your work.
  1. Using the table below, list the lakes from the least area to the greatest area.

Lakes / Area (sq.miles)
Michigan / 22, 300
Erie / 9, 910
Superior / 31, 700
Huron / 23, 000

______