Question
A pencil is
inches long. A piece of rope is
feet long. Which diagram and statement best represent their lengths?
Clear Check
A rope (length = 8) and pencil (length = 6).
A rope (length = 144 inches) and pencil (length = 6 inches).
A rope (length = 12 feet) and pencil (length = 6 inches).
A rope (length = 144 inches) and pencil (length = 6 inches).
inches long. A piece of rope is
feet long. Which diagram and statement best represent their lengths?
Clear Check
A rope (length = 8) and pencil (length = 6).
A rope (length = 144 inches) and pencil (length = 6 inches).
A rope (length = 12 feet) and pencil (length = 6 inches).
A rope (length = 144 inches) and pencil (length = 6 inches).
Answers
GPT-4o mini
To determine which diagram and statement best represent the lengths of a pencil and a piece of rope, we need to convert the measurements to a common unit of measurement.
Let's analyze the options:
1. **A rope (length = 8) and pencil (length = 6)**:
- This option lacks units, making it hard to determine their lengths.
2. **A rope (length = 144 inches) and pencil (length = 6 inches)**:
- This option clearly states both lengths in inches: the rope is 144 inches and the pencil is 6 inches.
3. **A rope (length = 12 feet) and pencil (length = 6 inches)**:
- The rope is in feet while the pencil is in inches. To compare, we can convert the rope to inches: 12 feet = 12 × 12 = 144 inches. Now the rope is 144 inches while the pencil is 6 inches.
4. **A rope (length = 144 inches) and pencil (length = 6 inches)** (repeated):
- This is the same as option 2, stating both measurements in inches.
From the above analysis, the best representations of lengths where both measurements align are:
- Option 2: A rope (length = 144 inches) and pencil (length = 6 inches).
- Option 4: A rope (length = 144 inches) and pencil (length = 6 inches).
Therefore, the correct answers are **Option 2** and **Option 4**, as both represent the same lengths in inches clearly. The rope is significantly longer than the pencil.
Let's analyze the options:
1. **A rope (length = 8) and pencil (length = 6)**:
- This option lacks units, making it hard to determine their lengths.
2. **A rope (length = 144 inches) and pencil (length = 6 inches)**:
- This option clearly states both lengths in inches: the rope is 144 inches and the pencil is 6 inches.
3. **A rope (length = 12 feet) and pencil (length = 6 inches)**:
- The rope is in feet while the pencil is in inches. To compare, we can convert the rope to inches: 12 feet = 12 × 12 = 144 inches. Now the rope is 144 inches while the pencil is 6 inches.
4. **A rope (length = 144 inches) and pencil (length = 6 inches)** (repeated):
- This is the same as option 2, stating both measurements in inches.
From the above analysis, the best representations of lengths where both measurements align are:
- Option 2: A rope (length = 144 inches) and pencil (length = 6 inches).
- Option 4: A rope (length = 144 inches) and pencil (length = 6 inches).
Therefore, the correct answers are **Option 2** and **Option 4**, as both represent the same lengths in inches clearly. The rope is significantly longer than the pencil.