1.
Chapter 1
Place Value and Number Sense
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2.
Place Value and Number Sense
1
Lesson 1-1 Place Value Through Hundred
Thousands
Lesson 1-2 Place Value Through Millions
Lesson 1-3 Problem-Solving Strategy: The
Four-Step Plan
Lesson 1-4 Compare Whole Numbers
Lesson 1-5 Order Whole Numbers
Lesson 1-6 Round Whole Numbers
Lesson 1-7 Problem-Solving Investigation:
Choose a Strategy
3.
1-1 Place Value Through Hundred Thousands
Five-Minute Check
Main Idea and Vocabulary
California Standards
Example 1
Example 2
Example 3
4.
1-1 Place Value Through Hundred Thousands
• I will read and write whole numbers to hundred
thousands.
• digit • standard form
• place value • word form
• period • expanded form
5.
1-1 Place Value Through Hundred Thousands
Standard 4NS1.1 Read and write whole
numbers in the millions.
6.
1-1 Place Value Through Hundred Thousands
Write the value of the underlined digit in 26,513.
Step 1 Write the number in a place-value chart.
2 6 5 1 3
7.
1-1 Place Value Through Hundred Thousands
Step 2 Identify the column in which the 6 is. Circle it.
2 6 5 1 3
8.
1-1 Place Value Through Hundred Thousands
Step 3 Replace all of the digits that are on the right
side of the 6 with zeros.
2 6 0 0 0
9.
1-1 Place Value Through Hundred Thousands
Write the value of the underlined digit in 14,317.
A. 30,000
B. 3,000
C. 300
D. 30
10.
1-1 Place Value Through Hundred Thousands
Write 86,012 in word form and expanded form.
8 6 0 1 2
Standard form: 86,012
Word form: eighty-six thousand, twelve
Expanded form: 80,000 + 6,000 + 10 + 2
11.
1-1 Place Value Through Hundred Thousands
Write 413,610 in word form and expanded form.
A. four hundred thirteen thousand, 6 hundred ten;
40,000 + 10,000 + 3,000 + 610
B. four hundred thirteen thousand, 6 hundred ten;
400,000 + 10,000 + 3,000 + 600 + 10
C. four hundred thirteen, 6 hundred ten;
400,000 + 10,000 + 3,000 + 600 + 10
D. four hundred thirteen, 6 hundred ten;
40,000 + 10,000 + 3,000 + 610
12.
1-1 Place Value Through Hundred Thousands
Write five thousand, four hundred six in standard
form and expanded form.
Standard form: 5,406
Expanded form: 5,000 + 400 + 6
13.
1-1 Place Value Through Hundred Thousands
Write four thousand, eight hundred twenty-one in
standard form and expanded form.
A. 482,001
B. 40,821
C. 4,801
D. 4,821
14.
1-2 Place Value Through Millions
Five-Minute Check (over Lesson 1-1)
Main Idea
California Standards
Example 1
Example 2
How Big is One Million?
15.
1-2 Place Value Through Millions
• I will read and write whole numbers through the
millions.
16.
1-2 Place Value Through Millions
Standard 4NS1.1 Read and write whole
numbers in the millions.
17.
1-2 Place Value Through Millions
The students at Harvey Elementary School have
saved 3,100,750 pennies. Write 3,100,750 in
standard form, word form, and expanded form.
Standard form: 3,100,750
Word form: Three million, one hundred
thousand, seven hundred fifty
Expanded form: 3,000,000 + 100,000 + 700 + 50
18.
1-2 Place Value Through Millions
A person’s heart that beats 65 beats per minute
on average, beats 34,187,400 per year. Write
34,187,400 in standard form, word form, and
expanded form.
A. standard form: 34,187,400
word form: thirty-four million, one
hundred eighty-seven
thousand, four hundred
expanded form: 30,000,000 + 4,000,000 +
100,000 + 80,000 + 7,000
+ 400
19.
1-2 Place Value Through Millions
A person’s heart that beats 65 beats per minute
on average, beats 34,187,400 per year. Write
34,187,400 in standard form, word form, and
expanded form.
B. standard form: 34,187,400
word form: thirty-four hundred
million, one hundred seven
thousand and four
expanded form: 300,000,000 + 40,000,000 +
100,000 + 80,000 + 7,000
+ 400
20.
1-2 Place Value Through Millions
A person’s heart that beats 65 beats per minute
on average, beats 34,187,400 per year. Write
34,187,400 in standard form, word form, and
expanded form.
C. standard form: 34,187,400
word form: thirty-four million, one
hundred eighty-seven
thousand, four hundred
expanded form: 30,000,000 + 4,000,000 +
100,000 + 80,000 + 4
21.
1-2 Place Value Through Millions
A person’s heart that beats 65 beats per minute
on average, beats 34,187,400 per year. Write
34,187,400 in standard form, word form, and
expanded form.
D. standard form: 34,187,400
word form: thirty-four million, one
hundred eighty-seven
thousand, four hundred
expanded form: 30,000,000 + 40,000,000 +
100,000 + 800,000 +
700,000 + 400
22.
1-2 Place Value Through Millions
Answer:
A. standard form: 34,187,400
word form: thirty-four million, one
hundred eighty-seven
thousand, four hundred
expanded form: 30,000,000 + 4,000,000 +
100,000 + 80,000 + 7,000
+ 400
23.
1-2 Place Value Through Millions
The total area of China is three million, seven
hundred five thousand, four hundred seven square
miles. Write this number in standard form.
This number is written in the place-value chart below.
3 7 0 5 4 0 7
Answer: Standard form: 3,705,407
24.
1-2 Place Value Through Millions
The population of the state of New York is about
nineteen million, two hundred fifty-four
thousand, six hundred thirty. Write this number in
standard form.
A. 190,254,630
B. 19,254,630
C. 1,924,630
D. 1,254,630
25.
1-3 Problem-Solving Strategy: The Four-Step Plan
Five-Minute Check (over Lesson 1-2)
Main Idea
California Standards
Example 1: Problem-Solving Strategy
26.
1-3 Problem-Solving Strategy: The Four-Step Plan
• I will use the four-step problem-solving plan to
solve problems.
27.
1-3 Problem-Solving Strategy: The Four-Step Plan
Standard 4MR1.1 Analyze problems by
identifying relationships, distinguishing relevant
from irrelevant information, sequencing and
prioritizing information, and observing patterns.
28.
1-3 Problem-Solving Strategy: The Four-Step Plan
Standard 4NS3.0 Students solve problems
involving addition, subtraction, multiplication, and
division of whole numbers and understand the
relationships among the operations.
29.
1-3 Problem-Solving Strategy: The Four-Step Plan
There are six girls in Dina’s scout troop. They
are planning a trip to the local amusement park.
Admission for children is $12. What is the total
cost of admission for everyone to go?
30.
1-3 Problem-Solving Strategy: The Four-Step Plan
Understand
What facts do you know?
• There are six scouts who want to go.
• The price of admission is $12 for each girl.
What do you need to find?
• The total cost of admission for all the girls.
31.
1-3 Problem-Solving Strategy: The Four-Step Plan
Plan
To find the total cost, you can use addition. There
are 6 girls, and it will cost $12 each. So, add 12
six times.
32.
1-3 Problem-Solving Strategy: The Four-Step Plan
Solve
$12 + $12 + $12 + $12 + $12 + $12 = $72
Answer: So, the troop needs $72 to go to the
amusement park.
33.
1-3 Problem-Solving Strategy: The Four-Step Plan
Check
Look back at the problem. One way to check the
answer is to use a drawing.
There are 72 squares, so the answer is correct.
34.
1-4 Compare Whole Numbers
Five-Minute Check (over Lesson 1-3)
Main Idea and Vocabulary
California Standards
Example 1
Example 2
35.
1-4 Compare Whole Numbers
• I will compare whole numbers.
• number line • is less than ( )
• is greater than ( ) • is equal to ( )
36.
1-4 Compare Whole Numbers
Standard 4NS1.2 Order and compare
whole numbers and decimals to two decimal
places.
Standard 4NS1.1 Read and write numbers
in the millions.
37.
1-4 Compare Whole Numbers
A middle school principal earns $97,032 in one
year. An elementary school principal earns $94,485
in one year. Who gets paid more?
On a number line, numbers to the right are greater
than numbers to the left.
38.
1-4 Compare Whole Numbers
97,032 is to the right of 94,485.
So, 97,032 is greater than 94,485.
Therefore, 97,032 > 94,485.
Answer: So, the middle school principal gets paid
more than the elementary principal.
39.
1-4 Compare Whole Numbers
A secretary earns $32,567 in one year and a bus
driver earns $31,622 in one year. Who gets paid
more?
A. secretary
B. bus driver
C. both get paid the same
D. not enough information given
40.
1-4 Compare Whole Numbers
Jorge traveled 1,296 miles during his summer
vacation. Kai traveled 1,967 miles during her
summer vacation. Who traveled more miles?
41.
1-4 Compare Whole Numbers
Step 1 Line up the numbers so that the digits in the
ones place align.
1,296
1,967
42.
1-4 Compare Whole Numbers
Step 2 Begin at the greatest place. Compare the
digits.
1,296
1,967
Since 1 = 1, go to the next place.
43.
1-4 Compare Whole Numbers
Step 3 Compare the digits in the next place.
1,296
1,967
9>2
Answer: So, 1,967 is greater than 1,296.
Therefore, Kai traveled more miles during
her summer trip than Jorge.
44.
1-4 Compare Whole Numbers
Maria traveled 2,432 miles over spring break to
visit her grandparents. Jamal traveled 2,498 miles
to visit his grandparents over spring break. Who
traveled more miles?
A. Maria
B. Jamal
C. Both traveled the same amount
D. Not enough information given
45.
1-5 Order Whole Numbers
Five-Minute Check (over Lesson 1-4)
Main Idea
California Standards
Example 1
Example 2
46.
1-5 Order Whole Numbers
• I will order whole numbers through the millions.
47.
1-5 Order Whole Numbers
Standard 4NS1.2 Order and compare whole
numbers and decimals to two decimal places.
Standard 4NS1.1 Read and write numbers
in the millions.
48.
1-5 Order Whole Numbers
Refer to the table. Order
the dog breeds from
least popular to most
popular.
Graph each number on a number line.
49.
1-5 Order Whole Numbers
42,592 is the farthest to the left, so it is the least
popular.
45,868 is between 42,592 and 47,238.
47,238 is the farthest to the right, so it is the most
popular.
Answer: The order from least popular to most
popular is Beagle, German
Shepherd, Yorkshire Terrier.
50.
1-5 Order Whole Numbers
Order the following numbers from least to greatest.
21,465, 21,333, 24,899, 24,751
A. 21,465; 21,333; 24,751; 24,899
B. 21,333; 21,465; 24,899; 24,751
C. 21,465; 21,333; 24,899; 24,751
D. 21,333; 21,465; 24,751; 24,899
51.
1-5 Order Whole Numbers
The populations of three cities are listed below.
Use place value to order the population numbers
from least to greatest.
52.
1-5 Order Whole Numbers
1,223,400 1,223,400
886,671 least 1,463,281 greatest
1,463,281
Answer: The numbers ordered from least to greatest
are 886,671; 1,223,400; and 1,463,281.
53.
1-5 Order Whole Numbers
Use place value to order the following numbers
from least to greatest. 2,651,866; 2,571,322;
1,444,739; 1,498,200
A. 1,444,739; 1,498,200; 2,651,866; 2,571,322
B. 2,571,322; 2,651,866; 1,444,739; 1,498,200
C. 1,444,739; 1,498,200; 2,571,322; 2,651,866
D. 2,651,866; 2,571,322; 1,444,739; 1,498,200
54.
1-6 Round Whole Numbers
Five-Minute Check (over Lesson 1-5)
Main Idea and Vocabulary
California Standards
Key Concept: Rounding Whole Numbers
Example 1
Example 2
Example 3
55.
1-6 Round Whole Numbers
• I will round whole numbers through the millions.
• estimate
• rounding (or round)
56.
1-6 Round Whole Numbers
Standard 4NS1.3 Round whole numbers
through the millions to the nearest ten, hundred,
thousand, ten thousand, or hundred thousand.
58.
1-6 Round Whole Numbers
A library has 95,876 books. To the nearest
thousand, how many books does the library have?
On the number line, 95,876 is closer to 96,000 than
95,000.
Answer: So, round 95,876 to 96,000.
59.
1-6 Round Whole Numbers
A local radio station has a collection of 38,245 CDs.
To the nearest thousand, how many CDs does the
radio station have?
A. 38,200
B. 39,000
C. 37,000
D. 38,000
60.
1-6 Round Whole Numbers
A local radio station claims that it has 571,394
loyal listeners. How many listeners is this rounded
to the nearest ten thousand?
On the number line, 571,394 is closer to 570,000
than 580,000.
Answer: So, round 571,394 to 570,000.
61.
1-6 Round Whole Numbers
A television show has 947,821 viewers per week.
How many viewers is this rounded to the nearest
ten thousand?
A. 900,000
B. 950,000
C. 940,000
D. 948,000
62.
1-6 Round Whole Numbers
A wildlife refuge is said to be home to 569,400
birds. Round 569,400 to the nearest thousand.
You need to round 569,400 to the nearest thousand.
Step 1 Underline the digit in the 569,400
place to be rounded. In this
case the 9 in the thousands
place needs to be rounded.
63.
1-6 Round Whole Numbers
Step 2 Look at the digit to the right 569,400
of the underlined digit, which
is 4.
Step 3 Since this digit is less than 569,400
5, do not change the
underlined digit.
64.
1-6 Round Whole Numbers
Step 4 Replace all digits after the 569,000
underlined digit with zeros.
Answer: To the nearest thousand, 569,400 is
rounded to 569,000.
Check
The number line shows that the answer is correct.
65.
1-6 Round Whole Numbers
Round 731,600 to the nearest thousand.
A. 730,000
B. 731,000
C. 732,000
D. 740,000
66.
1-7 Problem-Solving Investigation: Choose a Strategy
Five-Minute Check (over Lesson 1-6)
Main Idea
California Standards
Example 1: Problem-Solving Investigation
67.
1-7 Problem-Solving Investigation: Choose a Strategy
• I will choose the best strategy to solve a problem.
68.
1-7 Problem-Solving Investigation: Choose a Strategy
Standard 4MR1.1 Analyze problems by
identifying relationships, distinguishing
relevant from irrelevant
information, sequencing and prioritizing
information, and observing patterns.
69.
1-7 Problem-Solving Investigation: Choose a Strategy
Standard 4NS3.0 Students solve problems
involving addition, subtraction, multiplication, and
division of whole numbers and understand the
relationships among the operations.
70.
1-7 Problem-Solving Investigation: Choose a Strategy
TORY: My family is going on
vacation to Mexico. Before we
go, we have to trade our dollars
for Mexican pesos. For every
dollar we will get about 11
pesos.
YOUR MISSION: Find about how
many pesos Tory’s family will
get for $8.
71.
1-7 Problem-Solving Investigation: Choose a Strategy
Understand
What facts do you know?
• You know that one dollar is about 11 pesos.
What do you need to find?
• You will need to find about how many pesos
they will get for $8.
72.
1-7 Problem-Solving Investigation: Choose a Strategy
Plan
For every 1 dollar, they get 11 pesos. Make a
table to solve the problem.
73.
1-7 Problem-Solving Investigation: Choose a Strategy
Solve
There is a pattern of +11.
Answer: The family can expect to get about
88 pesos for $8.
74.
1-7 Problem-Solving Investigation: Choose a Strategy
Check
There is a second pattern in the table. When the
digit in the dollar row is changed to pesos, the
dollar digit is repeated twice. For example, $5 is
55 pesos. $8 is 88 pesos follows this pattern.
So, the answer is correct.
75.
Place Value and Number Sense
1
Five-Minute Checks
How Big is One Million?
76.
Place Value and Number Sense
1
Lesson 1-1
Lesson 1-2 (over Lesson 1-1)
Lesson 1-3 (over Lesson 1-2)
Lesson 1-4 (over Lesson 1-3)
Lesson 1-5 (over Lesson 1-4)
Lesson 1-6 (over Lesson 1-5)
Lesson 1-7 (over Lesson 1-6)
77.
Place Value and Number Sense
1
Find the value of 10 × 3.
A. 30
B. 3
C. 300
D. 10
78.
Place Value and Number Sense
1
Find the value of 100 – 30.
A. 130
B. 3,000
C. 3
D. 70
79.
Place Value and Number Sense
1
Find the value of 16 4.
A. 64
B. 4
C. 12
D. 20
80.
Place Value and Number Sense
1
Find the value of 15 + 10.
A. 25
B. 5
C. 150
D. 75
81.
Place Value and Number Sense
1
(over Lesson 1-1)
Write the value of the underlined digit.
131,166
A. 6
B. 600
C. 60
D. 66
82.
Place Value and Number Sense
1
(over Lesson 1-1)
Write the value of the underlined digit.
72,015
A. 70,000
B. 7,000
C. 72
D. 7
83.
Place Value and Number Sense
1
(over Lesson 1-1)
Write the value of the underlined digit.
999,760
A. 999
B. 90,000
C. 900,000
D. 9
84.
Place Value and Number Sense
1
(over Lesson 1-1)
Write the value of the underlined digit.
62,824
A. 2,000
B. 2
C. 200
D. 2,824
85.
Place Value and Number Sense
1
(over Lesson 1-2)
Write 5,376 in two different ways.
A. five hundred seventy-six; 500 + 70 + 6
B. five thousand three hundred seventy-six;
5,000 + 300 + 70 + 6
C. five thousand three seventy-six; 5,000 + 376
D. three thousand five hundred seventy-six;
3,000 + 500 + 70 + 6
86.
Place Value and Number Sense
1
(over Lesson 1-2)
Write twenty-five thousand, seven hundred
eighty-nine in two different ways.
A. 25,700,089; 25,000 + 700 + 89
B. 2,789; 2,000 + 700 + 80 + 9
C. 257,809; 25,000 + 700 + 80 + 9
D. 25,789; 20,000 + 5,000 + 700 + 80 + 9
87.
Place Value and Number Sense
1
(over Lesson 1-2)
Write 200,000 + 30,000 + 1 in two different ways.
A. 230,001; two hundred thirty thousand, one
B. 2,301; two thousand three hundred one
C. 230,100; two hundred thirty thousand, one
hundred
D. 500,001; five hundred thousand, one
88.
Place Value and Number Sense
1
(over Lesson 1-2)
Write 765,149,372 in two different ways.
A. seven hundred sixty-five thousand, one
hundred forty-nine, three hundred seventy-two;
700,000 + 60,000 + 5,000 + 100 + 40 + 9 + 300 +
70 + 2
B. seven hundred sixty-five million, one hundred
forty-nine thousand, three hundred seventy-
two; 700,000,000 + 60,000,000 + 5,000,000 +
100,000 + 40,000 + 9,000 + 300 + 70 + 2
89.
Place Value and Number Sense
1
(over Lesson 1-2)
Write 765,149,372 in two different ways.
C. seven hundred sixty-five billion, one hundred
forty-nine thousand, three hundred seventy-
two; 765,000,000,000 + 100,000 + 40,000 + 9,000
+ 300 + 70 + 2
D. seven hundred sixty-five thousand, one
hundred forty-nine thousand, three hundred
seventy-two; 700,000 + 60,000 + 5,000 +
100,000 + 40,000 + 9,000 + 300 + 70 + 2
90.
Place Value and Number Sense
1
(over Lesson 1-2)
Write 765,149,372 in two different ways.
B. seven hundred sixty-five million, one hundred
forty-nine thousand, three hundred seventy-
two; 700,000,000 + 60,000,000 + 5,000,000 +
100,000 + 40,000 + 9,000 + 300 + 70 + 2
91.
Place Value and Number Sense
1
(over Lesson 1-3)
Solve. Use the Four-Step Plan. A hamster can travel
about 5 times as fast as a roach. A roach can go 1
mile in an hour. How far can a hamster travel in one
hour?
A. 12 miles in one hour
B. 10 miles in one hour
C. 5 miles in one hour
D. 25 miles in one hour
92.
Place Value and Number Sense
1
(over Lesson 1-4)
Compare. Use <, >, or =.
4,908 4,718
A. 4,908 < 4,718
B. 4,908 > 4,718
C. 4,908 = 4,718
D. 4,718 > 4,908
93.
Place Value and Number Sense
1
(over Lesson 1-4)
Compare. Use <, >, or =.
16,547 62,050
A. 16,547 > 62,050
B. 62,050 < 16,547
C. 16,547 < 62,050
D. 16,547 = 62,050
94.
Place Value and Number Sense
1
(over Lesson 1-4)
Compare. Use <, >, or =.
8,342 8,342
A. 8,342 = 8,342
B. 8,342 > 8,342
C. 8,342 < 8,342
D. You can not compare these two numbers.
95.
Place Value and Number Sense
1
(over Lesson 1-4)
Compare. Use <, >, or =.
42,610 41,619
A. 42,610 < 41,619
B. 41,619 > 42,610
C. 42,610 = 41,619
D. 42,610 > 41,619
96.
Place Value and Number Sense
1
(over Lesson 1-5)
The Nile River is about 4,160 miles long. The
Mississippi River is about 2,340 miles long. The
Amazon River is about 4,000 miles long. Order the
rivers from shortest to longest.
A. Nile, Mississippi, Amazon
B. Amazon, Mississippi, Nile
C. Mississippi, Nile, Amazon
D. Mississippi, Amazon, Nile
97.
Place Value and Number Sense
1
(over Lesson 1-6)
Round 4,236 to the nearest thousand.
A. 4,200
B. 4,000
C. 5,000
D. 3,000
98.
Place Value and Number Sense
1
(over Lesson 1-6)
Round 2,699 to the nearest thousand.
A. 2,000
B. 2,700
C. 3,000
D. 1,000
99.
Place Value and Number Sense
1
(over Lesson 1-6)
Round 189,022 to the nearest hundred thousand.
A. 189,000
B. 200,000
C. 190,000
D. 100,000
100.
Place Value and Number Sense
1
(over Lesson 1-6)
Round 435,001 to the nearest hundred thousand.
A. 435,000
B. 500,000
C. 440,000
D. 400,000
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