To write 320.75 in expanded form using decimal expansion, we can break it down as follows:
- The hundreds place has 3 (which is 3×100).
- The tens place has 2 (which is 2×10).
- The ones place has 0 (which is 0×1).
- The tenths place has 7 (which is 7×1/10 or 7×0.1).
- The hundredths place has 5 (which is 5×1/100 or 5×0.01).
Putting it all together, the correct expanded form is:
(3×100) + (2×10) + (0×1) + (7×1/10) + (5×1/100)
So, the correct option is: (3×100) + (2×10) + (0×1) + (7×1 tenth) + (5×1 over 100).