Write the following number in expanded form: 2,005.09
A) $2 \cdot 10 ^ { 3 } + 5 + 9 \cdot 10 ^ { - 1 }$
B) $2 \cdot 10 ^ { 4 } + 5 + 9 \cdot 10 ^ { - 2 }$
C) $2 \cdot 10 ^ { 3 } + 5 + 9 \cdot 10 ^ { - 2 }$
D) $2 \cdot 10 ^ { 3 } + 5 \cdot 10 + 9 \cdot 10 ^ { - 2 }$
E) $2 \cdot 10 ^ { 4 } + 5 + 9 \cdot 10 ^ { - 1 }$

Question

Quizplus · Accepted Answer

2,005.09 can be broken down as follows:
2 x 1000 = 2000
0 x 100 = 0
5 x 1 = 5
0 x 0.1 = 0
9 x 0.01 = 0.09
Therefore, the expanded form is 2,000 + 5 + 0.09, which can be written as 2 x 10^3 + 5 + 9 x 10^-2. This matches option C.

Write the Following Number in Expanded Form: 2,005 2⋅103+5+9⋅10−12 \cdot 10 ^ { 3 } + 5 + 9 \cdot 10 ^ { - 1 }2⋅103+5+9⋅10−1

Write the Following Number in Expanded Form: 2,005 $2 \cdot 10 ^ { 3 } + 5 + 9 \cdot 10 ^ { - 1 }$