Question
Upton read 4 books this month. Next month, he hopes to read a number of books equal to 275% of the number he read this month.
A tape diagram. 0 is 0 percent. 4 is 100 percent. Question mark is 275 percent.
Which steps would you take to find 275% of 4? Check all that apply.
Find the decimal equivalent of 4%, or 0.4.
Find the decimal equivalent of 275%, or 2.75.
Multiply 0.4 by 275 to get 110 books.
Multiply 2.75 by 4 to get 11 books.
Estimate to check your answer by finding 300% of 4.
A tape diagram. 0 is 0 percent. 4 is 100 percent. Question mark is 275 percent.
Which steps would you take to find 275% of 4? Check all that apply.
Find the decimal equivalent of 4%, or 0.4.
Find the decimal equivalent of 275%, or 2.75.
Multiply 0.4 by 275 to get 110 books.
Multiply 2.75 by 4 to get 11 books.
Estimate to check your answer by finding 300% of 4.
Answers
GPT-4o mini
To find 275% of 4, you would take the following steps:
1. **Find the decimal equivalent of 275%, or 2.75.**
- This is the correct first step because it converts the percentage into a decimal form, which is needed for multiplication.
2. **Multiply 2.75 by 4 to get 11 books.**
- This step correctly applies the decimal to the number of books read, yielding the answer you are looking for.
The other options can be analyzed as follows:
- **Find the decimal equivalent of 4%, or 0.4.**
- This step is not necessary for calculating 275% of 4, as we do not need to convert 4% for this particular problem.
- **Multiply 0.4 by 275 to get 110 books.**
- This step is not relevant to finding 275% of 4, as it involves an incorrect use of percentages and does not provide a valid answer.
- **Estimate to check your answer by finding 300% of 4.**
- While this is a potential way to check your work by providing a rough estimate (300% of 4 would be 12), it isn't necessary as a step in calculating 275% directly.
In conclusion, the correct steps to take from the provided options are:
- Find the decimal equivalent of 275%, or 2.75.
- Multiply 2.75 by 4 to get 11 books.
1. **Find the decimal equivalent of 275%, or 2.75.**
- This is the correct first step because it converts the percentage into a decimal form, which is needed for multiplication.
2. **Multiply 2.75 by 4 to get 11 books.**
- This step correctly applies the decimal to the number of books read, yielding the answer you are looking for.
The other options can be analyzed as follows:
- **Find the decimal equivalent of 4%, or 0.4.**
- This step is not necessary for calculating 275% of 4, as we do not need to convert 4% for this particular problem.
- **Multiply 0.4 by 275 to get 110 books.**
- This step is not relevant to finding 275% of 4, as it involves an incorrect use of percentages and does not provide a valid answer.
- **Estimate to check your answer by finding 300% of 4.**
- While this is a potential way to check your work by providing a rough estimate (300% of 4 would be 12), it isn't necessary as a step in calculating 275% directly.
In conclusion, the correct steps to take from the provided options are:
- Find the decimal equivalent of 275%, or 2.75.
- Multiply 2.75 by 4 to get 11 books.