The document is a tutorial about place value. It explains that 350 thousand passengers use an airport annually, but a newspaper reported it as 350 million. To determine how many times greater the reported number is than the actual number, the tutorial reviews place value concepts like position names and powers of ten. It converts the numbers to their decimal forms, then shows that moving the decimal three places to the right via multiplication by 1000 reconciles the numbers. Therefore, the reported number was 1000 times the actual number.

1. Tutorial
The average number of passengers who use
a certain airport each year is 350 thousand.
A newspaper reported the number as 350
million. The number reported in the
newspaper was how many times the actual
number?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
Place Value

2. Tutorial
The average number of passengers who use a certain airport each year is 350 thousand. A newspaper
reported the number as 350 million. The number reported in the newspaper was how many times the
actual number?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
The fundamental idea behind our base-ten
numeration system is place value. That is, a
number is written to show the value of each
place.
Place Value

3. Tutorial
The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
number as 350 million. The number reported in the newspaper was how many times the actual number?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
Associated with each place value is a
•position name;
POWER OF
•decimal form; and
108
107
106
105
104
103
102
101
100
TEN
100,000,000
•power of ten.
DECIMAL
10,000,000
1,000,000
100,000
FORM
10,000
THOUSANDS 1,000
100
10
1
THOUSANDS
THOUSANDS
HUNDREDS
HUNDRED
HUNDRED
MILLIONS
MILLIONS
MILLIONS
POSITION
NAME
ONES
TENS
TEN
TEN
Place Value

4. Tutorial
The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
number as 350 million. The number reported in the newspaper was how many times the actual number?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
Recall, to move from one place value to a
higher place value you multiply by the
appropriate number of 10s.
THOUSANDS
THOUSANDS
THOUSANDS
HUNDREDS
HUNDRED
HUNDRED
MILLIONS
MILLIONS
MILLIONS
POSITION
NAME
ONES
TENS
TEN
TEN
10 X 10 X 10 X 10
Place Value

5. Tutorial
The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
number as 350 million. The number reported in the newspaper was how many times the actual number?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
That is, to go from 5,000 to 5,000,000 (a total
of three place values), you multiply 5,000 by
10x10x10 = 103 = 1,000
THOUSANDS
THOUSANDS
THOUSANDS
Multiplying by powers of
HUNDREDS
HUNDRED
HUNDRED
MILLIONS
MILLIONS
MILLIONS
POSITION
10 moves the decimal
NAME
ONES
TENS
TEN
TEN
point that many place
5 0 0 0
5 0 0 0
values to the right.
10 X 10 X 10 X 5000
Place Value

6. Tutorial
The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
number as 350 million. The number reported in the newspaper was how many times the actual number?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
Returning to the original problem, lets transform
each number from its position name to its decimal
form.
350 thousand = 350,000
350 million = 350,000,000
Place Value

7. Tutorial
The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
number as 350 million. The number reported in the newspaper was how many times the actual number?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
Returning to the original problem, lets transform
each number from its position name to its decimal
form.
THOUSANDS
THOUSANDS
THOUSANDS
HUNDREDS
HUNDRED
HUNDRED
MILLIONS
MILLIONS
MILLIONS
POSITION
NAME
ONES
TENS
TEN
TEN
350 thousand = 350,000 3 5 0 0 0 0
350 million = 350,000,000 3 5 0 0 0 0 0 0 0
Place Value

8. Tutorial
The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
number as 350 million. The number reported in the newspaper was how many times the actual number?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
Looking at the decimal form of the numbers, we
can see that we move the decimal point from 350
thousand three places right to equal 350 million.
THOUSANDS
THOUSANDS
THOUSANDS
HUNDREDS
HUNDRED
HUNDRED
MILLIONS
MILLIONS
MILLIONS
POSITION
NAME
ONES
TENS
TEN
TEN
350 thousand = 350,000 3 5 0 0 0 0
350 million = 350,000,000 3 5 0 0 0 0 0 0 0
Place Value

9. Tutorial
The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
number as 350 million. The number reported in the newspaper was how many times the actual number?
(A) 10
(B) 100
(C) 1,000
(D) 10,000
Since we see that 103 moves the decimal point
three spots right, 350 thousand must be
multiplied by 1,000 to equal 350 million.
THOUSANDS
THOUSANDS
THOUSANDS
HUNDREDS
HUNDRED
HUNDRED
MILLIONS
MILLIONS
MILLIONS
POSITION
NAME
ONES
TENS
TEN
TEN
3 5 0 0 0 0
3 5 0 0 0 0 0 0 0
10X10X10 = 1,000
Place Value

10. Tutorial
The average number of passengers who use a
certain airport each year is 350 thousand. A
newspaper reported the number as 350 million.
The number reported in the newspaper was how
many times the actual number?
(A) 10 We can check our answer by
doing the following calculation
(B) 100
(C) 1,000 350,000 X 1,000 = 350,000,000
(D) 10,000
This calculation verifies that
(C) 1,000 is the correct answer.
Place Value