Fill in each blank: 1. 6 ft = ____ in. 2. 34 yd = ____ ft 3. 9 mi = ____ yd 4. 15 yd = ____ in.
Understand the Problem
The question requires converting between different units of length: feet (ft), inches (in), yards (yd), and miles (mi). Specifically, we need to convert 6 ft to inches, 34 yd to feet, 9 mi to yards, and 15 yd to inches.
Answer
1. $6 \text{ ft} = 72 \text{ in}$ 2. $34 \text{ yd} = 102 \text{ ft}$ 3. $9 \text{ mi} = 15840 \text{ yd}$ 4. $15 \text{ yd} = 540 \text{ in}$
Answer for screen readers
- $6 \text{ ft} = 72 \text{ in}$
- $34 \text{ yd} = 102 \text{ ft}$
- $9 \text{ mi} = 15840 \text{ yd}$
- $15 \text{ yd} = 540 \text{ in}$
Steps to Solve
- Convert feet to inches
Since 1 foot = 12 inches, we multiply the number of feet by 12 to get the equivalent in inches. $6 \text{ ft} = 6 \times 12 \text{ in} = 72 \text{ in}$
- Convert yards to feet
Since 1 yard = 3 feet, we multiply the number of yards by 3 to get the equivalent in feet. $34 \text{ yd} = 34 \times 3 \text{ ft} = 102 \text{ ft}$
- Convert miles to yards
Since 1 mile = 1760 yards, we multiply the number of miles by 1760 to get the equivalent in yards. $9 \text{ mi} = 9 \times 1760 \text{ yd} = 15840 \text{ yd}$
- Convert yards to inches
Since 1 yard = 36 inches, we multiply the number of yards by 36 to get the equivalent in inches. $15 \text{ yd} = 15 \times 36 \text{ in} = 540 \text{ in}$
- $6 \text{ ft} = 72 \text{ in}$
- $34 \text{ yd} = 102 \text{ ft}$
- $9 \text{ mi} = 15840 \text{ yd}$
- $15 \text{ yd} = 540 \text{ in}$
More Information
Here are the standard conversions used:
- 1 foot (ft) = 12 inches (in)
- 1 yard (yd) = 3 feet (ft)
- 1 yard (yd) = 36 inches (in)
- 1 mile (mi) = 1760 yards (yd)
Tips
A common mistake is using the wrong conversion factor. For example, confusing the number of feet in a yard, or the number of yards in a mile. Double-checking the conversion factors before performing the calculations is crucial.
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