1. Expanded Form 3 5 8 = 3,000 + 500 + 8 (3 x 1,000) + (5 x 100)
Writing a number as the sum of the values of each digit 3 , 5 8 =
3,000
+ 500
+ 8
You can skip over the zeros
(3 x 1,000)
+ (5 x 100)
+ (8 x 1) 2 7 , 1 6 =
20,000
+ 7,000
+ 100
+ 60
(2 x 10,000)
+ (7 x 1,000)
+ (1 x 100)
+ (6 x 10)
You can also write expanded form by showing the powers of 10

2. Expanded Form 4 7 , 6 2 =
40,000
+ 7,000
+ 60
+ 2
4 zeros
3 zeros
1 zero
no zeros
(4 x 10,000)
+ (7 x 1,000)
+ (6 x 10)
+ (2 x 1)
(4 x 104)
+ (7 x 103)
+ (6 x 101)
+ (2 x 100) 6
You can also write expanded form by showing the powers of 10 with exponents
To get the exponent, count the zeros 8 , 2 5 , =
60,000,000
+ 8,000,000
+ 200,000
+ 50,000
(6 x 10,000,000)
+ (8 x 1,000,000)
+ (2 x 100,000)
+ (5 x 10,000)
(6 x 107)
+ (8 x 106)
+ (2 x 105)
+ (5 x 104)

3. Expanded Form 5 8 2 = 5 + 0.8 + 0.002 (5 x 1) + (8 x 0.1)2 = 5
+ 0.8
no zeros
1 decimal place
3 decimal places
(5 x 1)
+ (8 x 0.1)
+ (2 x 0.001)
(5 x 100)
+ (8 x 10-1)
+ (2 x 10-3)
To get the exponent on the whole side, count the zeros
To get the exponent on the part side, count the number of decimal places and use a negative exponent 7 3 . 6 = 70
+ 3
+ 0.06
(7 x 10)
+ (3 x 1)
+ (6 x 0.01)
(7 x 101)
+ (3 x 100)
+ (6 x 10-2)

4. Expanded Form - Practice. 8 4 7 =
0.8
+ 0.04
(8 x 0.1)
+ (4 x 0.01)
+ (7 x 0.001)
(8 x 10-1)
+ (4 x 10-2)
+ (7 x 10-3) 3 . 9 3 = 3
+ 0.09
(3 x 1)
+ (9 x 0.01)
+ (3 x 0.001)
(3 x 100)
+ (9 x 10-2)
+ (3 x 10-3)

5. Expanded Form - Practice2 5 . 3 = 20
+ 5
+ 0.3
(2 x 10)
+ (5 x 1)
+ (3 x 0.1)
(2 x 101)
+ (5 x 100)
+ (3 x 10-1)