Example 1
Write the number 5600 in expanded notation.
The number 5600 is 5 thousands
6 hundreds
0 tens
0 ones.
We write 5 times its place value, plus 6 times its place value. Since
there are no tens or ones, we write only
(5
1000)
(6
100)
Example 2
Write 750,000 in expanded notation.
The number 750,000 is 7 hundred thousands and 5 ten thousands.
We write 7 times its place value plus 5 times its place value.
(7
100,000)
(5
10,000)
What is 4,000,000 written in expanded form?
Analyze
4
1,000,000
Example 3
Write the standard form for (3
100)
(2
1).
Standard form means “the usual way of writing numbers.” We will
write the number that has a 3 in the hundreds place and a 2 in the
ones place.
100s
10s
1s
3
0
2
Note that we use a zero to hold the tens place. The standard form
is 302.
What is the expanded form of the whole number 3?
Analyze
3
1
Lesson Practice
Write in expanded notation:
Represent
a. 56
(5
10)
(6
1)
b. 5280
(5
1000)
(2
100)
(8
10)
c. 250,000
(2
100,000)
(5
10,000)
Write in standard form:
Represent
d. (6
1000)
(4
10)
6040
e. (5
100)
(7
10)
570
f. (8
10,000)
(4
1000)
84,000
g. (9
100,000)
(3
10,000)
930,000
Lesson 48
301