Question
Which grid represents the decimal 2.83?
two ten by ten grid squares filled in, eight columns of ten quares filled in and three individual squares filled in
one ten by ten grid squares filled in, three individual squares filled in and eight columns of ten quares filled
two ten by ten grid squares filled in and eight individual squares filled in
two ten by ten grid squares filled in and three individual squares filled in
two ten by ten grid squares filled in, eight columns of ten quares filled in and three individual squares filled in
one ten by ten grid squares filled in, three individual squares filled in and eight columns of ten quares filled
two ten by ten grid squares filled in and eight individual squares filled in
two ten by ten grid squares filled in and three individual squares filled in
Answers
Answered by
GPT-4o mini
To represent the decimal 2.83 using grids, you need to break it down as follows:
1. The integer part (2) corresponds to two complete ten by ten grid squares filled in. Each of these squares represents 1 whole unit.
2. The decimal part (0.83) indicates that you need to fill 83% of a ten by ten grid, which has 100 total squares. 83% of 100 is 83 squares. This can be visualized as 8 complete columns filled (each column has 10 squares) plus 3 additional squares filled in from the next column.
Now let's evaluate the options based on this breakdown:
1. **Two ten by ten grid squares filled in, eight columns of ten squares filled in and three individual squares filled in.**
- This represents 2 (from the two filled squares) + 0.80 (from eight complete columns) + 0.03 (from three additional individual squares), totaling 2.83. **This option is correct.**
2. **One ten by ten grid square filled in, three individual squares filled in and eight columns of ten squares filled in.**
- This doesn't total 2.83 correctly.
3. **Two ten by ten grid squares filled in and eight individual squares filled in.**
- This represents 2.08, which is incorrect.
4. **Two ten by ten grid squares filled in and three individual squares filled in.**
- This does not account for the decimal part and totals to 2.03, which is incorrect.
Therefore, the correct interpretation of the decimal 2.83 is:
**Two ten by ten grid squares filled in, eight columns of ten squares filled in and three individual squares filled in.**
1. The integer part (2) corresponds to two complete ten by ten grid squares filled in. Each of these squares represents 1 whole unit.
2. The decimal part (0.83) indicates that you need to fill 83% of a ten by ten grid, which has 100 total squares. 83% of 100 is 83 squares. This can be visualized as 8 complete columns filled (each column has 10 squares) plus 3 additional squares filled in from the next column.
Now let's evaluate the options based on this breakdown:
1. **Two ten by ten grid squares filled in, eight columns of ten squares filled in and three individual squares filled in.**
- This represents 2 (from the two filled squares) + 0.80 (from eight complete columns) + 0.03 (from three additional individual squares), totaling 2.83. **This option is correct.**
2. **One ten by ten grid square filled in, three individual squares filled in and eight columns of ten squares filled in.**
- This doesn't total 2.83 correctly.
3. **Two ten by ten grid squares filled in and eight individual squares filled in.**
- This represents 2.08, which is incorrect.
4. **Two ten by ten grid squares filled in and three individual squares filled in.**
- This does not account for the decimal part and totals to 2.03, which is incorrect.
Therefore, the correct interpretation of the decimal 2.83 is:
**Two ten by ten grid squares filled in, eight columns of ten squares filled in and three individual squares filled in.**