Convert Customary Units of Length Worksheets - Free Printable
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Step-by-step solution for: Convert Customary Units of Length Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Convert Customary Units of Length Worksheets
It seems you've uploaded a worksheet focused on converting customary units of length. Since the image itself isn't visible in this context, I'll provide a general explanation of how to solve problems involving customary unit conversions and then outline the steps for solving such problems.
The customary units of length include:
1. Inches (in)
2. Feet (ft)
3. Yards (yd)
4. Miles (mi)
The relationships between these units are as follows:
- 1 foot = 12 inches
- 1 yard = 3 feet = 36 inches
- 1 mile = 5,280 feet = 1,760 yards
1. Identify the given unit and the target unit: Determine what you are starting with and what you need to convert to.
2. Use conversion factors: Apply the appropriate conversion factor based on the relationships between units.
3. Set up the problem: Use multiplication or division as needed to convert from one unit to another.
4. Simplify: Perform the calculations to get the final answer.
Let's solve a few example problems similar to those that might appear on your worksheet:
#### Example 1: Convert 5 feet to inches.
- Given: 5 feet
- Target unit: inches
- Conversion factor: 1 foot = 12 inches
- Solution:
$$
5 \text{ feet} \times 12 \frac{\text{inches}}{\text{foot}} = 60 \text{ inches}
$$
So, 5 feet = 60 inches.
#### Example 2: Convert 72 inches to feet.
- Given: 72 inches
- Target unit: feet
- Conversion factor: 1 foot = 12 inches
- Solution:
$$
72 \text{ inches} \div 12 \frac{\text{inches}}{\text{foot}} = 6 \text{ feet}
$$
So, 72 inches = 6 feet.
#### Example 3: Convert 3 yards to feet.
- Given: 3 yards
- Target unit: feet
- Conversion factor: 1 yard = 3 feet
- Solution:
$$
3 \text{ yards} \times 3 \frac{\text{feet}}{\text{yard}} = 9 \text{ feet}
$$
So, 3 yards = 9 feet.
#### Example 4: Convert 2 miles to feet.
- Given: 2 miles
- Target unit: feet
- Conversion factor: 1 mile = 5,280 feet
- Solution:
$$
2 \text{ miles} \times 5,280 \frac{\text{feet}}{\text{mile}} = 10,560 \text{ feet}
$$
So, 2 miles = 10,560 feet.
For each problem on your worksheet:
1. Identify the given unit and the target unit.
2. Use the appropriate conversion factor.
3. Multiply or divide as needed.
4. Write down the final answer.
If you can provide specific problems from your worksheet, I can solve them step by step for you!
Since the exact problems from your worksheet aren't visible, I can't provide specific answers. However, using the method above, you can solve any problem involving customary unit conversions. If you have a particular problem you'd like help with, feel free to share it, and I'll solve it for you!
$$
\boxed{\text{Use the steps outlined above to solve your worksheet problems.}}
$$
Customary Units of Length
The customary units of length include:
1. Inches (in)
2. Feet (ft)
3. Yards (yd)
4. Miles (mi)
The relationships between these units are as follows:
- 1 foot = 12 inches
- 1 yard = 3 feet = 36 inches
- 1 mile = 5,280 feet = 1,760 yards
Steps to Solve Conversion Problems
1. Identify the given unit and the target unit: Determine what you are starting with and what you need to convert to.
2. Use conversion factors: Apply the appropriate conversion factor based on the relationships between units.
3. Set up the problem: Use multiplication or division as needed to convert from one unit to another.
4. Simplify: Perform the calculations to get the final answer.
Example Problem and Solution
Let's solve a few example problems similar to those that might appear on your worksheet:
#### Example 1: Convert 5 feet to inches.
- Given: 5 feet
- Target unit: inches
- Conversion factor: 1 foot = 12 inches
- Solution:
$$
5 \text{ feet} \times 12 \frac{\text{inches}}{\text{foot}} = 60 \text{ inches}
$$
So, 5 feet = 60 inches.
#### Example 2: Convert 72 inches to feet.
- Given: 72 inches
- Target unit: feet
- Conversion factor: 1 foot = 12 inches
- Solution:
$$
72 \text{ inches} \div 12 \frac{\text{inches}}{\text{foot}} = 6 \text{ feet}
$$
So, 72 inches = 6 feet.
#### Example 3: Convert 3 yards to feet.
- Given: 3 yards
- Target unit: feet
- Conversion factor: 1 yard = 3 feet
- Solution:
$$
3 \text{ yards} \times 3 \frac{\text{feet}}{\text{yard}} = 9 \text{ feet}
$$
So, 3 yards = 9 feet.
#### Example 4: Convert 2 miles to feet.
- Given: 2 miles
- Target unit: feet
- Conversion factor: 1 mile = 5,280 feet
- Solution:
$$
2 \text{ miles} \times 5,280 \frac{\text{feet}}{\text{mile}} = 10,560 \text{ feet}
$$
So, 2 miles = 10,560 feet.
General Approach for Your Worksheet
For each problem on your worksheet:
1. Identify the given unit and the target unit.
2. Use the appropriate conversion factor.
3. Multiply or divide as needed.
4. Write down the final answer.
If you can provide specific problems from your worksheet, I can solve them step by step for you!
Final Answer
Since the exact problems from your worksheet aren't visible, I can't provide specific answers. However, using the method above, you can solve any problem involving customary unit conversions. If you have a particular problem you'd like help with, feel free to share it, and I'll solve it for you!
$$
\boxed{\text{Use the steps outlined above to solve your worksheet problems.}}
$$
Parent Tip: Review the logic above to help your child master the concept of customary units worksheet.