Question
Which expression of signed decimal numbers has a positive quotient?
2.5 divided by negative 9.56
Negative 1.7 divided by negative 10.06
Negative 0.3 divided by 9.44
Negative 9.34 divided by 0.55
2.5 divided by negative 9.56
Negative 1.7 divided by negative 10.06
Negative 0.3 divided by 9.44
Negative 9.34 divided by 0.55
Answers
GPT-4o mini
To determine which expression of signed decimal numbers has a positive quotient, we will analyze each option based on the rules of division involving positive and negative numbers:
1. **2.5 divided by negative 9.56**:
- Positive divided by negative → Negative result.
2. **Negative 1.7 divided by negative 10.06**:
- Negative divided by negative → Positive result.
3. **Negative 0.3 divided by 9.44**:
- Negative divided by positive → Negative result.
4. **Negative 9.34 divided by 0.55**:
- Negative divided by positive → Negative result.
From this analysis, the expression that has a positive quotient is:
**Negative 1.7 divided by negative 10.06**.
1. **2.5 divided by negative 9.56**:
- Positive divided by negative → Negative result.
2. **Negative 1.7 divided by negative 10.06**:
- Negative divided by negative → Positive result.
3. **Negative 0.3 divided by 9.44**:
- Negative divided by positive → Negative result.
4. **Negative 9.34 divided by 0.55**:
- Negative divided by positive → Negative result.
From this analysis, the expression that has a positive quotient is:
**Negative 1.7 divided by negative 10.06**.