Question
The waves just keep coming! Meg compared the locations of the treasures to try to collect them more quickly. Which statements are true? Check all that apply.
Negative 1 greater-than negative three-fourths
Negative one-half less-than 0
Three-fourths less-than negative 1
Negative one-fourth = one-fourth
Negative 1 less-than one-fourth
Answers
GPT-4o mini
To evaluate the truth of the statements, we need to analyze the inequalities and equalities given:
1. **Negative 1 greater than negative three-fourths**
- \(-1 > -\frac{3}{4}\) is **false**. (On the number line, -1 is to the left of -3/4)
2. **Negative one-half less than 0**
- \(-\frac{1}{2} < 0\) is **true**. (Negative one-half is less than 0)
3. **Three-fourths less than negative 1**
- \(\frac{3}{4} < -1\) is **false**. (Positive three-fourths is greater than -1)
4. **Negative one-fourth = one-fourth**
- \(-\frac{1}{4} = \frac{1}{4}\) is **false**. (Negative one-fourth is not equal to positive one-fourth)
5. **Negative 1 less than one-fourth**
- \(-1 < \frac{1}{4}\) is **true**. (Negative one is less than positive one-fourth)
The true statements are:
- Negative one-half less than 0
- Negative 1 less than one-fourth
1. **Negative 1 greater than negative three-fourths**
- \(-1 > -\frac{3}{4}\) is **false**. (On the number line, -1 is to the left of -3/4)
2. **Negative one-half less than 0**
- \(-\frac{1}{2} < 0\) is **true**. (Negative one-half is less than 0)
3. **Three-fourths less than negative 1**
- \(\frac{3}{4} < -1\) is **false**. (Positive three-fourths is greater than -1)
4. **Negative one-fourth = one-fourth**
- \(-\frac{1}{4} = \frac{1}{4}\) is **false**. (Negative one-fourth is not equal to positive one-fourth)
5. **Negative 1 less than one-fourth**
- \(-1 < \frac{1}{4}\) is **true**. (Negative one is less than positive one-fourth)
The true statements are:
- Negative one-half less than 0
- Negative 1 less than one-fourth