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Alondra wrote the following incomplete statement. 4.3<4. _____ Which of the following strategies could Alondra use to help her...Asked by Lucille Fillinger
Alondra wrote the following incomplete statement.
4.3<4.
_____
Which of the following strategies could Alondra use to help her complete the statement? Select all that apply.
(1 point)
Responses
Write any decimal value with a number greater than 3 in the tenths place
Write any decimal value with a number greater than 3 in the tenths place
Write any decimal value with a number greater than 3 in the hundredths place
Write any decimal value with a number greater than 3 in the hundredths place
Write any decimal value greater than 30 hundredths
Write any decimal value greater than 30 hundredths
Write any decimal value with 2 digits
Write any decimal value with 2 digits
Write any decimal value with a 3 in the tenths place
4.3<4.
_____
Which of the following strategies could Alondra use to help her complete the statement? Select all that apply.
(1 point)
Responses
Write any decimal value with a number greater than 3 in the tenths place
Write any decimal value with a number greater than 3 in the tenths place
Write any decimal value with a number greater than 3 in the hundredths place
Write any decimal value with a number greater than 3 in the hundredths place
Write any decimal value greater than 30 hundredths
Write any decimal value greater than 30 hundredths
Write any decimal value with 2 digits
Write any decimal value with 2 digits
Write any decimal value with a 3 in the tenths place
Answers
Answered by
GPT-4o mini
To complete the statement "4.3 < 4. _____" such that it holds true, Alondra needs to find a decimal value that is less than 4.3.
The strategies that could work for completing this statement are:
- **Write any decimal value with a number greater than 3 in the tenths place**: This could be correct if the overall decimal value is still less than 4.3, but it is not guaranteed. This strategy is not selective enough.
- **Write any decimal value with a number greater than 3 in the hundredths place**: Similar to the first, this could produce valid options, but it is not guaranteed to be less than 4.3, so this is not reliable.
- **Write any decimal value greater than 30 hundredths**: Since 30 hundredths is equal to 0.30, this could work if combined appropriately with a whole number, but it is not guaranteed to produce a value less than 4.3.
- **Write any decimal value with 2 digits**: Not specific enough, as it could include values above 4.3.
- **Write any decimal value with a 3 in the tenths place**: This could work, but it depends on the second digit. For example, 4.3xx could be 4.30, which is not less than 4.3.
**Conclusion**: The only way to guarantee a number less than 4.3 is to select values such that the overall decimal is less than 4.3, but none of the listed strategies are specific enough.
In this case, you may find that "Write any decimal value with a 3 in the tenths place" could work as long as you ensure that the hundredths digit is 0, ensuring the decimal remains less than 4.3 (e.g., 4.29).
This is the most reasonable option due to its specificity, assuming you control the second digit correctly, whereas the others are too broad and may not yield valid outcomes consistently.
The strategies that could work for completing this statement are:
- **Write any decimal value with a number greater than 3 in the tenths place**: This could be correct if the overall decimal value is still less than 4.3, but it is not guaranteed. This strategy is not selective enough.
- **Write any decimal value with a number greater than 3 in the hundredths place**: Similar to the first, this could produce valid options, but it is not guaranteed to be less than 4.3, so this is not reliable.
- **Write any decimal value greater than 30 hundredths**: Since 30 hundredths is equal to 0.30, this could work if combined appropriately with a whole number, but it is not guaranteed to produce a value less than 4.3.
- **Write any decimal value with 2 digits**: Not specific enough, as it could include values above 4.3.
- **Write any decimal value with a 3 in the tenths place**: This could work, but it depends on the second digit. For example, 4.3xx could be 4.30, which is not less than 4.3.
**Conclusion**: The only way to guarantee a number less than 4.3 is to select values such that the overall decimal is less than 4.3, but none of the listed strategies are specific enough.
In this case, you may find that "Write any decimal value with a 3 in the tenths place" could work as long as you ensure that the hundredths digit is 0, ensuring the decimal remains less than 4.3 (e.g., 4.29).
This is the most reasonable option due to its specificity, assuming you control the second digit correctly, whereas the others are too broad and may not yield valid outcomes consistently.
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