Question
Examine where the two fractions are plotted on the number line.
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. A point is 1 mark to the left of 0, and another point is 1 mark to the right of 0.
Which statements are true? Select all that apply.
One-fourth greater-than negative one-fourth
One-fourth less-than negative one-fourth
Negative one-fourth greater-than one-fourth
Negative one-fourth less-than one-fourth
Negative one-fourth = one-fourth
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. A point is 1 mark to the left of 0, and another point is 1 mark to the right of 0.
Which statements are true? Select all that apply.
One-fourth greater-than negative one-fourth
One-fourth less-than negative one-fourth
Negative one-fourth greater-than one-fourth
Negative one-fourth less-than one-fourth
Negative one-fourth = one-fourth
Answers
GPT-4o mini
Let's analyze the two fractions: \( \frac{1}{4} \) (one-fourth) and \( -\frac{1}{4} \) (negative one-fourth).
On the number line, \( \frac{1}{4} \) is to the right of 0, while \( -\frac{1}{4} \) is to the left of 0.
Now, let's evaluate each statement:
1. **One-fourth greater than negative one-fourth**:
\(\frac{1}{4} > -\frac{1}{4}\) is **true**.
2. **One-fourth less than negative one-fourth**:
\(\frac{1}{4} < -\frac{1}{4}\) is **false**.
3. **Negative one-fourth greater than one-fourth**:
\(-\frac{1}{4} > \frac{1}{4}\) is **false**.
4. **Negative one-fourth less than one-fourth**:
\(-\frac{1}{4} < \frac{1}{4}\) is **true**.
5. **Negative one-fourth = one-fourth**:
\(-\frac{1}{4} = \frac{1}{4}\) is **false**.
Based on this analysis, the true statements are:
- One-fourth greater than negative one-fourth
- Negative one-fourth less than one-fourth
On the number line, \( \frac{1}{4} \) is to the right of 0, while \( -\frac{1}{4} \) is to the left of 0.
Now, let's evaluate each statement:
1. **One-fourth greater than negative one-fourth**:
\(\frac{1}{4} > -\frac{1}{4}\) is **true**.
2. **One-fourth less than negative one-fourth**:
\(\frac{1}{4} < -\frac{1}{4}\) is **false**.
3. **Negative one-fourth greater than one-fourth**:
\(-\frac{1}{4} > \frac{1}{4}\) is **false**.
4. **Negative one-fourth less than one-fourth**:
\(-\frac{1}{4} < \frac{1}{4}\) is **true**.
5. **Negative one-fourth = one-fourth**:
\(-\frac{1}{4} = \frac{1}{4}\) is **false**.
Based on this analysis, the true statements are:
- One-fourth greater than negative one-fourth
- Negative one-fourth less than one-fourth