Elaborate Examples on How to Express Whole Numbers in Expanded Form

1. Expanded Notation
of a Number
Teacher CIEJEI

2. Example #1
Expanded Form – 1st Method
1. Express the number as
a sum of the value of its
digits.
3
300
4 8 = 300 + 40 + 8
3 in hundred’s place →
40
4 in ten’s place →
8
8 in one’s place →
2. Write the values as the
sum in decreasing order.

3. Example #2
Expanded Form – 1st Method
1. Express the number as
a sum of the value of its
digits.
9
900
7 3 = 900 + 70 + 3
9 in hundred’s place →
70
7 in ten’s place →
3
3 in one’s place →
2. Write the values as the
sum in decreasing order.

4. Example #3
Expanded Form – 1st Method
1. Express the number as
a sum of the value of its
digits.
7
700
2 1 = 700 + 20 + 1
7 in hundred’s place →
20
2 in ten’s place →
1
1 in one’s place →
2. Write the values as the
sum in decreasing order.

5. Example #4
1. Express the number as
a sum of the value of its
digits.
8
800
1 5 = 7,000 + 800 + 10 + 5
8 in hundred’s place →
10
1 in ten’s place →
5
5 in one’s place →
2. Write the values as the
sum in decreasing order.
7,
7,000
7 in thousand’s place →
Expanded Form – 1st Method

6. Example #5
1. Express the number as
a sum of the value of its
digits.
3
300
9 4 = 1,000 + 300 + 90 + 4
3 in hundred’s place →
90
9 in ten’s place →
4
4 in one’s place →
2. Write the values as the
sum in decreasing order.
1,
1,000
1 in thousand’s place →
Expanded Form – 1st Method

7. Example #4
1. Express the number as
a sum of the value of its
digits.
3
300
7 4= 20,000+7,000+300+70+4
3 in hundred’s place →
70
7 in ten’s place →
4
4 in one’s place →
2. Write the values as the
sum in decreasing order.
7,
7,000
7 in thousand’s place →
2
20,000
2 in ten thousand’s place →
Expanded Form – 1st Method

8. Example #5
1. Express the number as
a sum of the value of its
digits.
2
200
05 = 90,000 + 3,000 + 200 + 5
2 in hundred’s place →
-
0 in ten’s place →
5
5 in one’s place →
2. Write the values as the
sum in decreasing order.
3,
3,000
3 in thousand’s place →
9
90,000
9 in ten thousand’s place →
Expanded Form – 1st Method

9. Write each digit followed
by a series of zeroes
(as many as its
proceeding digits)
,829
1
,000
1
29
1,8
00
8
+
9
1,82
0
2
+
9
1,82
9
+
Express 1,829
in expanded form.
EXAMPLE # 1:
ANS: 1,829 = 1,000 + 800 + 20 + 9
Expanded Form – 2nd Method

10. Write each digit followed
by a series of zeroes
(as many as its
proceeding digits)
,382
7
,000
7
82
7,3
00
3
+
2
7,38
0
8
+
2
7,38
2
+
Express 7,382
in expanded form.
EXAMPLE # 2:
ANS: 7,382 = 7,000 + 300 + 80 + 2
Expanded Form – 2nd Method

11. Write each digit followed
by a series of zeroes
(as many as its
proceeding digits)
9,345
8
0,000
8
,345
8 9
,000
9
+
45
89,3
00
3
+
5
89,34
0
4
+
5
89,34
5
+
Express 89,345
in expanded form.
EXAMPLE # 3:
ANS: 89,345 = 80,000 + 9,000 + 300 + 40 + 5
Expanded Form – 2nd Method

12. Write each digit followed
by a series of zeroes
(as many as its
proceeding digits)
3,215
4
0,000
4
215
43
,000
3
+
15
43,2
00
2
+
5
43,21
0
1
+
5
43,21
5
+
Express 43,215
in expanded form.
EXAMPLE #4:
ANS: 43,215 = 40,000 + 3,000 + 200 + 10 + 5
Expanded Form – 2nd Method

13. Express 7 5 2, 1 3 8 in expanded form.
7
5
2
1
3
8
00,000 +
0,000 +
,000 +
00 +
0 +
700,000 + 50,000 + 2,000 + 100 + 30 + 8
1. Use the digits as
starting answer.
2. Add as many zeroes
needed to replace the
following digits
3. Supply a
series of zeroes
in the next
digits in
decreasing
manner
(one by one)
Expanded Form – 3rd Method

14. Express 3 9 4 7 2 5 in expanded form.
3
9
4
7
2
5
00,000 +
0,000 +
,000 +
00 +
0 +
300,000 + 90,000 + 4,000 + 700 + 20 + 5
1. Use the digits as
starting answer.
2. Add as many zeroes
needed to replace the
following digits
3. Supply a
series of zeroes
in the next
digits in
decreasing
manner
(one by one)
Expanded Form – 3rd Method

15. Express 4 6 3, 9 5 7 in expanded form.
4
6
3
9
5
7
00,000 +
0,000 +
,000 +
00 +
0 +
400,000 + 60,000 + 3,000 + 900 + 50 + 7
1. Use the digits as
starting answer.
2. Add as many zeroes
needed to replace the
following digits
3. Supply a
series of zeroes
in the next
digits in
decreasing
manner
(one by one)
Expanded Form – 3rd Method

16. Express 7, 3 5 2, 8 5 4 in expanded form.
7
3
5
2
8
5
4
,000,000 +
00,000 +
0,000 +
,000 +
00 +
0 +
7,000,000 + 300,000 + 50,000 + 2,000 + 800 + 50 + 4
1. Use the digits as
starting answer.
2. Add as many zeroes
needed to replace the
following digits
3. Supply a
series of zeroes
in the next
digits in
decreasing
manner
(one by one)
Expanded Form – 3rd Method

17. Express 4 5, 2 3 4, 9 2 5 in expanded form.
4
5
2
3
4
9
2
5
0,000,000 +
,000,000 +
00,000 +
0,000 +
,000 +
00 +
0 +
40,000,000 + 5,000,000 + 200,000 + 30,000 + 4,000 + 900 + 20 + 5
1. Use the digits as
starting answer.
2. Add as many zeroes
needed to replace the
following digits
3. Supply a
series of zeroes
in the next
digits in
decreasing
manner
(one by one)
Expanded Form – 3rd Method

18. Express 2 5, 8 3 5, 4 7 9 in expanded form.
2
5
8
3
5
4
7
9
0,000,000 +
,000,000 +
00,000 +
0,000 +
,000 +
00 +
0 +
20,000,000 + 5,000,000 + 800,000 + 30,000 + 5,000 + 400 + 70 + 9
1. Use the digits as
starting answer.
2. Add as many zeroes
needed to replace the
following digits
3. Supply a series
of zeroes in the
next digits in
decreasing manner
(one by one)
Expanded Form – 3rd Method

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