To determine which option is equivalent to the number 972.085, we should break down the number into its place values:
- 900 (which is 9 hundreds)
- 70 (which is 7 tens)
- 2 (which is 2 units)
- 0.08 (which is 8 hundredths)
- 0.005 (which is 5 thousandths)
Now, let's analyze the provided options:
A. 900 + 70 + 2 + 0.8 + 0.005
- This breaks down to: 900 + 70 + 2 + 0.8 + 0.005 = 972.805 (not equivalent)
B. 9,000 + 70 + 2 + 0.08 + 0.005
- This breaks down to: 9,000 + 70 + 2 + 0.08 + 0.005 = 9,072.085 (not equivalent)
C. 900 + 20 + 7 + 0.8 + 0.05
- This breaks down to: 900 + 20 + 7 + 0.8 + 0.05 = 927.85 (not equivalent)
D. 900 + 70 + 2 + 0.08 + 0.005
- This breaks down to: 900 + 70 + 2 + 0.08 + 0.005 = 972.085 (equivalent)
The correct answer is D. 900 + 70 + 2 + 0.08 + 0.005.