A student used the following steps to estimate 34% of 104.
1. Round 34% to 30%.
2. Round 104 to 100.
3. 10% of 100 is 10.
4. 10(3) = 30
5. 34% of 104 is about 30.
34% of 104 is closer to 35.
What might have made the estimate this much less than the actual? Check all that apply.
The percent was rounded down.
The percent was rounded up.
The number was rounded down.
The number was rounded up.
The percent was rounded down.
The number was rounded down.
Based on the given steps, the estimate for 34% of 104 is about 30. Now let's analyze the options to identify what could have caused the estimate to be this much lower than the actual value.
1. The percent was rounded down: This option is correct since rounding 34% down to 30% would result in an underestimate of the actual value.
2. The percent was rounded up: This option is incorrect since the given percentage (34%) was rounded down, not up.
3. The number was rounded down: This option is incorrect since rounding 104 down to 100 was done to simplify the calculation, but it wouldn't significantly affect the estimate to be much lower.
4. The number was rounded up: This option is incorrect since rounding 104 up was not done, it was rounded down to 100.
Therefore, the correct answer is: The percent was rounded down.
The possible reasons for the estimate being less than the actual are:
- The percent was rounded down.
- The number was rounded down.