Question
Consider these scenarios.
1. A piano weighs 5.5 × 102 units.
2. A grain of salt weighs 1.02 × 10-3 units.
3. A tractor trailer weighs 8.8 × 101 units.
Determine the unit of measurement that best represents each scenario.
1.
2.
1. A piano weighs 5.5 × 102 units.
2. A grain of salt weighs 1.02 × 10-3 units.
3. A tractor trailer weighs 8.8 × 101 units.
Determine the unit of measurement that best represents each scenario.
1.
2.
Answers
GPT-4o mini
To determine the most appropriate unit of measurement for each scenario, we need to consider the context and typical weights associated with those items:
1. **A piano weighs 5.5 × 10^2 units.**
- This weight is approximately 550 units. A common unit of measurement for the weight of pianos is kilograms (kg) or pounds (lbs). Given that 550 pounds (lbs) is a reasonable weight for a piano, the best representation here could be **pounds (lbs)**.
2. **A grain of salt weighs 1.02 × 10^-3 units.**
- This weight is approximately 0.00102 units, which is equivalent to 1.02 grams (g) when we consider typical weights in the metric system. A grain of salt is very small and usually measured in grams, so the best representation here is **grams (g)**.
3. **A tractor trailer weighs 8.8 × 10^1 units.**
- This weight is approximately 88 units, which suggests a metric that corresponds to heavy vehicles. A tractor trailer typically weighs thousands of kilograms (kg) or thousands of pounds (lbs). A common weight for a tractor trailer is around 88,000 lbs or about 40,000 kg, making the best representation **pounds (lbs)** for this scenario.
To summarize:
1. Piano: **Pounds (lbs)**
2. Grain of salt: **Grams (g)**
3. Tractor trailer: **Pounds (lbs)**
1. **A piano weighs 5.5 × 10^2 units.**
- This weight is approximately 550 units. A common unit of measurement for the weight of pianos is kilograms (kg) or pounds (lbs). Given that 550 pounds (lbs) is a reasonable weight for a piano, the best representation here could be **pounds (lbs)**.
2. **A grain of salt weighs 1.02 × 10^-3 units.**
- This weight is approximately 0.00102 units, which is equivalent to 1.02 grams (g) when we consider typical weights in the metric system. A grain of salt is very small and usually measured in grams, so the best representation here is **grams (g)**.
3. **A tractor trailer weighs 8.8 × 10^1 units.**
- This weight is approximately 88 units, which suggests a metric that corresponds to heavy vehicles. A tractor trailer typically weighs thousands of kilograms (kg) or thousands of pounds (lbs). A common weight for a tractor trailer is around 88,000 lbs or about 40,000 kg, making the best representation **pounds (lbs)** for this scenario.
To summarize:
1. Piano: **Pounds (lbs)**
2. Grain of salt: **Grams (g)**
3. Tractor trailer: **Pounds (lbs)**