1. The document discusses place value through millions. It provides a table defining the place value positions and their values from ones to millions. 2. It gives an example of writing a number in standard form from its word form, filling in a place value chart to determine 357,212,108. 3. It asks the reader to write the value of the bolded digit in the number 32,404, which is 4,000.

1. LESSON 1.1
Name
Understand Place Value
The value of a digit in a number
Thousands Hundreds Tens Ones
depends on its position within
the number. 3, 7 5 0
The value of the digit 7 in 3,750 is 700
because it is in the hundreds place. 3 × 1,000 7 × 100 5 × 10 0 × 0
To find the value of the digit 5, 3,000 700 50 0
first decide the place-value position of
the 5. The 5 is in the tens place.
5 10 50, so the 5 has a value of 50.
To increase a number by 5,000, increase the digit in the
thousands place by 5.
3,750 increased by 5,000 is 8,750. Notice that the only
change was the increase by 5 in the thousands place.
Look at the number 48,792.
1. In what place-value position is 2. Complete to find the value of
the 4? the 8.
ten thousands 8 1,000 8,000
3. What is the value of the 9? 4. What is the value of the 2?
90 2
For 5–10, use the numbers at the top of each column.
45,893 to 85,893 88,203 to 81,203
In what place-value position
was a digit changed? 5. ten thousands 6. thousands
© Harcourt
Was the digit increased or
decreased? 7. increased 8. decreased
What is the change in the
value of the number? 9. increased by 40,000 10. decreased by 7,000
Reteach RW1

2. LESSON 1.1
Name
Understand Place Value
Write the value of the digit 3 in each number.
1. 4,389 2. 3,270 3. 56,223 4. 78,530
300 3,000 3 30
Compare the digits to find the value of the change.
5. 67,335 to 47,335 6. 45,289 to 45,889 7. 48,367 to 42,367
Change the value of the number by the given amount.
8. 2,305 decreased by 200 9. 72,358 increased by 6,000
2,105 78,358
10. 46,883 decreased by 40 11. 29,402 increased by 40,000
46,843 69,402
Complete.
12. 56,891 50,000 6,000 800 90 1
13. 8 6,408 80,000 6,000 400 8
14. 37,905 30,000 7,000 900 5
Mixed Review
15. 420 16. 818 17. 77 18. 213 19. 633
307 128 20 501 409
21 66 18 190 7
748 1,012 115 904 1,049
© Harcourt
20. 100 21. 87 22. 98 23. 53 24. 110
22 24 69 8 56
78 63 29 45 54
Practice PW1

3. LESSON 1.2
Name
Place Value through Hundred Thousands
In the place-value system, each place is ten times as great
as the place to its right.
Complete the table.
Period THOUSANDS ONES
Place Hundreds Tens Ones Hundreds Tens Ones
Value 100,000 10,000 1,000 100 10 1
100 10 1 100 10 1
Think:
thousands thousands thousand ones ones one
To write a number in word form, write the number in
each period and follow it with the name of the period. Do
not name the ones period. Remember to use commas to
separate each period of numbers.
367,412 is three hundred sixty-seven thousand, four
hundred twelve.
Write each number in word form.
1. 56,398 2. 308,481
fifty-six thousand, three hundred eight thousand,
three hundred ninety-eight four hundred eighty-one
To write a number in expanded form, write the sum of the value
of each digit. Do not include digits for which the value is 0.
367,012 300,000 60,000 7,000 10 2
© Harcourt
Write each number in expanded form.
3. 458,913 4. 290,384
400,000 50,000 8,000 200,000 90,000 300
900 10 3 80 4
RW2 Reteach

4. LESSON 1.2
Name
Place Value Through Hundred Thousands
Vocabulary
Write the correct letter that describes each number. a. expanded
1. 340,548 c form
2. 300,000 40,000 500 40 8 a b. word form
3. three hundred forty thousand, five c. standard
hundred forty-eight b form
Write each number in two other forms.
4. 408,377 5. 20,000 600 30 2
6. six hundred fourteen thousand, 7. 892,200
two hundred thirty-nine
Complete.
8. 35,309 thirty-five thousand , three hundred nine 30,000
5,000 300 9
9. 60,000 4,000 800 20 5 thousand, eight
© Harcourt
hundred twenty-five 6 4,8 2 5
Write the value of the underlined digit.
10. 569,394 300 11. 495,294 5,000 12. 384,294 300,000
Mixed Review
13. 39,338 5,000 34,338 14. 36 88 = 124 15. 28 9 = 19
PW2 Practice

5. LESSON 1.3
Name
Place Value through Millions
The period to the left of the thousands period is the millions period.
Write the values that complete the table.
Period MILLIONS THOUSANDS ONES
Place Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones
Value 100,000,000 10,000,000 1,000,000 100,000 10,000 1,000 100 10 1
100 10 1 100 10 1 100 10 1
Think:
million million million thousand thousand thousand ones ones one
To write a number given in word form with the millions period, use a
place-value chart.
Fill in the place-value chart to find the standard form of three hundred
fifty-seven million, two hundred twelve thousand, one hundred eight.
Period MILLIONS THOUSANDS ONES
Place Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones
Value 3
_______ 5 7, 2 1
_______ _______ 2, 1
_______ 0 8
_______
Write the value of the bold digit.
1. 32,404,202 2. 489,304,203 3. 44,203,203 4. 5,306,200
2,000,000 400,000,000 40,000,000 300,000
Complete.
5. 349,305,203
© Harcourt
three hundred forty-nine million ,three hundred five thousand ,
two hundred three
6. 62,617,204
sixty -two million, six hundred seventeen thousand,
two hundred four
Reteach RW3

6. LESSON 1.3
Name
Place Value Through Millions
Vocabulary
1. The period to the left of thousands is millions .
Write the value of the bold digit.
2. 45,595,445 3. 3,502,305 4. 735,495,305
500,000 3,000,000 700,000,000
Write each number in word form.
5. 6,393,203 6. 492,203,200
two hundred three
Use place value to find each missing number.
7. 32,615,394; 32,715,394; 8. 5,398,394; 6,398,394;
32,815,394 ; 32,915,394 7,398,394 ; 8,398,394
9. Write the standard form of the 10. Write 312,393,205 in expanded
number which is 1,000,000 less form.
than forty-five million, three
hundred twelve thousand, eight
hundred.
2,000,000 300,000 90,000
44,312,800 3,000 200 5
© Harcourt
Mixed Review
Complete.
11. 70,000 8,000 40 9 12. 100,000 60,000 900 3
78,049 160,903
13. 690 268 422 14. 657 222 879
Practice PW3

7. LESSON 1.4
Name
Benchmark Numbers
You can use a known number, called a benchmark,
to help you estimate another number that is difficult
to count or measure.
• Is the tree about 20 or about 200 feet tall?
You know that the man is 6 feet tall.
So, 6 is the benchmark.
Look at the tree. It looks like it is a little more
than 3 times as tall as the man.
6 ft
Think: 3 × 6 = 18
So, the tree is about 20 feet tall.
Use the benchmark to decide which is the more
reasonable estimate for the unknown amount.
Circle that number.
1. number of beans in jar 2. pounds of potatoes in the box
50 beans
30 lb
100 or 200 100 or 1,000
3. gallons of water in the pool 4. paper clips in the container
200 clips
© Harcourt
400 gallons
800 or 1,200 100 or 1,000
RW4 Reteach

8. LESSON 1.4
Name
Benchmark Numbers
Vocabulary
Fill in the blank.
1. A benchmark is a known number of things that helps you
understand the size or amount of a different number of things.
Use the benchmark to decide which is the more reasonable number.
2. Pennies in the jar 3. Houses in the neighborhood
20
Homes
1,000
pennies
500 or 5,000 100 or 1,000
5,000 100
4. Height of a shrub 5. Books on a shelf
25
Books
8 in. tall
20 inches or 200 inches 200 or 2,000
20 inches 200
Mixed Review
© Harcourt
6. 3 7. 9 8. 16 9. 24 10. 45
8 5 12 51 22
11 14 28 75 67
11. 31 12. 44 13. 35 14. 35 15. 59
18 29 17 27 31
49 73 18 8 28
16. 12 11 23 17. 19 49 68 18. 62 21 83
PW4 Practice

9. LESSON 1.5
Name
Problem Solving Skill
Use a Graph
A pictograph is a graph that uses pictures to represent numbers in
order to compare information. The pictures are related to the data.
Box Office Video records their national rentals each week using a
pictograph. Each picture of a VCR represents 1,000,000 rentals.
BOX OFFICE VIDEO NATIONAL RENTALS
Week 6
Week 5
Week 4
Week 3
Week 2
Week 1
Key: Each = 1,000,000 rentals.
The graph shows four VCR symbols during Week 1.
So, 4 1,000,000 4,000,000 video rentals were made during Week 1.
Half of a symbol represents 500,000 video rentals.
So, during Week 2 there were 4,000,000 500,000 4,500,000 rentals made.
1. What other symbol might Box 2. During which week were the
Office Video have chosen to greatest number of rentals
represent 1,000,000 videos? made? the fewest?
Possible answers:
movie camera, rental card Week 3; Week 1
3. How many rentals were made 4. How many rentals were made
during Week 3? during Week 1?
© Harcourt
6,000,000 rentals 4,000,000 rentals
5. During Week Five, 7,000,000 6. During Week Six, 6,500,000
videos were rented. Add this videos were rented. Add this
information to the graph. information to the graph.
Check students’ graphs. Check students’ graphs.
Reteach RW5

10. LESSON 1.5
Name
Problem Solving Skill Maximum Daily Servings
Use a Graph dairy
The United States Department meat
of Agriculture has named 5 food
groups and recommends a vegetables
maximum number of daily fruit
servings from each group.
bread and cereal
For 1–8, use the graph. Key: Each stands for 2 servings.
1. What is the maximum 2. Which two food groups have the
recommended number of same number of recommended
meat servings? servings?
3. Of which food groups can you 4. Of which food group can you
eat more than four servings eat the most servings?
per day?
5. Today, Erika ate 5 servings of 6. What is the total number of
meat. How would you represent fruit and vegetable servings
this on the pictograph? recommended?
7. Rolanda has eaten 7 servings 8. At breakfast, Jamika’s banana
from the bread and cereal counted as 2 fruit servings.
group today. How many more How many more fruit servings
servings could she have? could she have today?
© Harcourt
Mixed Review
What is the value of the digit 7?
9. 1,762 10. 7,900,631 11. 44,072,461 12. 817,535
700 7,000,000 70,000 7,000
Practice PW5