1.21.2Name

Explore and Growp

Place ValuePlace Valuewith Wholewith Whole

NumbersNumbersLearning Target:Learning Target: Write multi-digit numbers in Write multi-digit numbers in different forms and compare the values of digits.different forms and compare the values of digits.Success Criteria:Success Criteria: • I can identify the value of a digit in a multi-digit number.• I can identify the value of a digit in a multi-digit number.• I can write multi-digit numbers in different forms.• I can write multi-digit numbers in different forms.• I can compare the values of two identical digits in a • I can compare the values of two identical digits in a

multi-digit number.multi-digit number.

Chapter 1 ⎜ Lesson 2 9

Model the number. Draw your model.Then write the value of each digit.

Compare the values of the 4s.

Repeated Reasoning Is the value of the 4 in the tens place 10 times as much as the value of the 2 in the ones place? Explain.

Thousands Hundreds Tens Ones

4,442

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Think and Grow: Understand Multiplicative ComparisonThink and Grow: Place Value with Whole Numbers

10

Write the number in two other forms.

1. 1. Standard form: 78,300

Word form:

Expanded form:

2. 2. Standard form:

Word form: three hundred fifty thousand, fifty-eight

Expanded form:

3. 3. Compare the values of the 6s in the number 466,900.

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Millions Period Thousands Period Ones Period

Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones

1, 5 3 8,8, 77 77 44

1 × 1,000,000 5 × 100,000 3 × 10,000 8 8 ×× 1,000 1,000 7 7 ×× 100 100 7 7 ×× 10 10 4 4 ×× 1 1

1,000,000 500,000 30,000 8,0008,000 700700 7070 44

Thousands Period Ones Period

Hundreds Tens Ones Hundreds Tens Ones

4 6 6,6, 99 00 00

Example Write the number instandard form, word form, andexpanded form.

Standard form:

Word form:

Expanded form:

4 × 100,000 + × + × + ×

Key Idea A place value chart shows the value of each digit in a number. It also shows how the place values are grouped. Each group of three digits is called a period. In a number, periods are separated by commas.

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11Chapter 1 ⎜ Lesson 2

Name

Apply and Grow: Practice

Write the number in two other forms.

Compare.

8. 8. 8,046 8,460 9. 9. 28,517 28,509 10. 10. 5,854,331 5,854,231

11. 11. The white truffle is the world’s most expensive ediblefungus, which costs up to three thousand dollars per kilogram. Write this number in standard form.

6. 6. Compare the values of the 7s in the number 4,877,034.

12. 12. Your friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Explain.

7. 7. Compare the values of the 3s in the number 5,338.

13. 13. Logic Newton is thinking of a 6-digit number in which all of the digits are the same. The value of the digit in the thousands place is 8,000. What is Newton’s number?

4. 4. Standard form:

Word form:

Expanded form: 6 × 100,000 + 8 × 1,000 + 4 × 100 + 5 × 10 + 9 × 1

5. 5. Standard form: 45,006,702

Word form:

Expanded form:

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Think and Grow: Understand Multiplicative ComparisonThink and Grow: Modeling Real Life

12

Use the table above.

PlanetAverage Distance

from the Sun (miles)

Earth 92,956,050

Jupiter 483,638,564

Mars 141,637,725

Mercury 35,983,125

Saturn 886,489,415

Venus 67,238,251

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14. 14. Compare the values of the 7s in Mars’s average distance from the Sun.

16. 16. DIG DEEPER An organization wants to donate all ofthe money raised through fundraisers and raffles to achildren’s charity. Complete the donation check.

15. 15. Compare the values of the 4s in Saturn’s average distance from the Sun.

So, the value of the 3 in the millions place is timesthe value of the 3 in the ten thousands place.

Millions Period Thousands Period Ones Period

Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones

4 8 3, 6 3 8,8, 55 66 44

3,000,000 30,000

Money Raised

Event Amount

Fundraisers $194,918

Raffl es $35,187

Example Compare the values of the 3sin Jupiter’s average distance from the Sun.

Use a place value chart to help you fi nd thevalue of each 3.

123456789 09 02 12346694566 0003

0003

word formstandard form

PAY TO THEORDER OF

DOLLARS

MEMOAUTHORIZED SIGNATURE

$

DATE

Children’s Charity

Each place value is 10 times as great as the place value to its right. The digits are two places apart. So, multiply 30,000 by 10 × 10 = 100.

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Name 1.21.2Homework

& PracticeLearning Target:Learning Target: Write multi-digit numbers in Write multi-digit numbers indifferent forms and compare the values of digits.different forms and compare the values of digits.

13Chapter 1 ⎜ Lesson 2

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Write the value of the underlined digit.

Thousands Period Ones Period

Hundreds Tens Ones Hundreds Tens Ones

5 0 9, 0 2 7

1. 1. 740,225 2. 2. 604,197,872 3. 3. 12,405,287 4. 4. 392,183

Write the number in two other forms.

5. 5. Standard form: 450,014

Word form:

Expanded form:

6. 6. Standard form:

Word form: fourteen thousand, two hundred one

Expanded form:

7. 7. Compare the values of the 9s in thenumber 537,499.

8. 8. Compare the values of the 5s in thenumber 78,550,634.

7 1

509,027five hundred nine thousand, twenty-seven

9 1,000 2 10

Example Write the number in standard form, word form, and expanded form.

Standard form:

Word form:

Expanded form: 5 × 100,000 + × + × + ×

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14

Review & RefreshCompare.

18. 18. 0.14 0.15 19. 19. 2.2 2.20 20. 20. 5.8 5.08

13. 13. Which One Doesn’t Belong? Which number does not belong with the other three?

1 × 10,000 + 4 × 1,000 + 2 × 100 + 6 × 1 fourteen thousand, two hundred six

140,206

14. 14. DIG DEEPER Find the difference in the values of the underlined digits.

856,092 37,841

Use the table.

15. 15. Modeling Real Life Compare the values of the 3s in the music cost.

16. 16. Modeling Real Life Compare the values of the 2s in the cast cost.

17. 17. DIG DEEPER What is the total cost for the director and producers? Write your answer in word form.

Compare.

9. 9. 67,893 67,943 10. 10. 450,823 405,823 11. 11. 176,994 176,994

12. 12. Your body contains about 60,000 miles of blood vessels. Write this number in word form.

Movie Production Costs

Item Cost

Cast $17,242,551

Director $2,712,480

Editing $3,000,000

Music $3,375,900

Producers $2,759,981

Visual eff ects $13,932,452

Hundreds Tens Ones Hundreds Tens Ones

1 4,4, 22 00 66

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