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

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)

Expanded Form 5 8 2 = 5 + 0.8 + 0.002 (5 x 1) + (8 x 0.1) 2 = 5 + 0.8 + 0.002 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)

Expanded Form - Practice . 8 4 7 = 0.8 + 0.04 + 0.007 (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 + 0.003 (3 x 1) + (9 x 0.01) + (3 x 0.001) (3 x 100) + (9 x 10-2) + (3 x 10-3)

Expanded Form - Practice 2 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)