Question

Which expression(s), when simplified, give positive values?

Select ALL that apply.

Responses



− 1 /2 × 1/ 3



1/ 2 × − 1 /3



− 1/ 2 × − 1/ 3



− 1/ 2 ÷ − 1/ 3

Answer 1

To determine which expressions give positive values when simplified, let's evaluate each one:

1. **Expression:** \( -\frac{1}{2} \times \frac{1}{3} \)
**Calculation:**
\[
-\frac{1}{2} \times \frac{1}{3} = -\frac{1}{6} \quad (\text{Negative})
\]

2. **Expression:** \( \frac{1}{2} \times -\frac{1}{3} \)
**Calculation:**
\[
\frac{1}{2} \times -\frac{1}{3} = -\frac{1}{6} \quad (\text{Negative})
\]

3. **Expression:** \( -\frac{1}{2} \times -\frac{1}{3} \)
**Calculation:**
\[
-\frac{1}{2} \times -\frac{1}{3} = \frac{1}{6} \quad (\text{Positive})
\]

4. **Expression:** \( -\frac{1}{2} \div -\frac{1}{3} \)
**Calculation:**
\[
-\frac{1}{2} \div -\frac{1}{3} = -\frac{1}{2} \times -\frac{3}{1} = \frac{3}{2} \quad (\text{Positive})
\]

**Summary of Results:**
- Expression 1: Negative
- Expression 2: Negative
- Expression 3: Positive
- Expression 4: Positive

### Therefore, the expressions that give positive values when simplified are:

- **− 1/2 × − 1/3**
- **− 1/2 ÷ − 1/3**