Question

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

Answer 1

To complete the statement "4.3 < 4. _____", Alondra needs to fill in a value that is greater than 4.3. Here are the strategies that could work to ensure the completion is valid:

1. **Write any decimal value with a number greater than 3 in the tenths place.**
- This would allow for values like 4.4, 4.5, etc., which are greater than 4.3.

2. **Write any decimal value with a number greater than 3 in the hundredths place.**
- This could include numbers like 4.31, 4.32, etc., which would satisfy the inequality.

3. **Write any decimal value greater than 30 hundredths.**
- 30 hundredths is equivalent to 0.30, so any value therefore means a number greater than 4.3 (e.g., 4.31, 4.32, etc.).

4. **Write any decimal value with a 3 in the tenths place.**
- This would only apply to values ending with 4.3, but together with a thousandths place higher (e.g., 4.31), it works.

The option "Write any decimal value with 2 digits" alone doesn't guarantee that it would be greater than 4.3 and thus would not be a helpful strategy.

Therefore, the correct strategies Alondra could use are:
- 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 greater than 30 hundredths.
- Write any decimal value with a 3 in the tenths place (with careful consideration about the hundredths).

Ultimately, the best choices are the first three options listed.