Conversion Directions: Write the equivalent of the following measurements. Write your answer in separate sheet of paper. 1. 2 ft. _ inches 6. 2 km m 2. 9 yd. feet 7. 25 mm cm 3. 2 yd. inches 8. 3 dm mm 4. 36 in. feet 9. 12 in. mm 5. 4.5 cm mm 10. 3 in. _ cm
The Correct Answer and Explanation is:
To solve these unit conversion problems, we need to understand the basic conversion factors. Below, I’ll explain how to convert each measurement, step by step.
- 2 feet to inches
1 foot equals 12 inches.
Therefore, 2 feet=2×12=24 inches2 \text{ feet} = 2 \times 12 = 24 \text{ inches}2 feet=2×12=24 inches.
Answer: 24 inches - 9 yards to feet
1 yard equals 3 feet.
Therefore, 9 yards=9×3=27 feet9 \text{ yards} = 9 \times 3 = 27 \text{ feet}9 yards=9×3=27 feet.
Answer: 27 feet - 2 yards to inches
1 yard equals 3 feet, and 1 foot equals 12 inches.
So, 2 yards=2×3×12=72 inches2 \text{ yards} = 2 \times 3 \times 12 = 72 \text{ inches}2 yards=2×3×12=72 inches.
Answer: 72 inches - 36 inches to feet
1 foot equals 12 inches.
Therefore, 36 inches=3612=3 feet36 \text{ inches} = \frac{36}{12} = 3 \text{ feet}36 inches=1236=3 feet.
Answer: 3 feet - 4.5 cm to millimeters
1 centimeter equals 10 millimeters.
Therefore, 4.5 cm=4.5×10=45 mm4.5 \text{ cm} = 4.5 \times 10 = 45 \text{ mm}4.5 cm=4.5×10=45 mm.
Answer: 45 millimeters - 2 kilometers to meters
1 kilometer equals 1,000 meters.
Therefore, 2 km=2×1000=2000 meters2 \text{ km} = 2 \times 1000 = 2000 \text{ meters}2 km=2×1000=2000 meters.
Answer: 2000 meters - 25 millimeters to centimeters
1 centimeter equals 10 millimeters.
Therefore, 25 mm=2510=2.5 cm25 \text{ mm} = \frac{25}{10} = 2.5 \text{ cm}25 mm=1025=2.5 cm.
Answer: 2.5 centimeters - 3 decimeters to millimeters
1 decimeter equals 10 centimeters, and 1 centimeter equals 10 millimeters.
Therefore, 3 dm=3×10×10=300 mm3 \text{ dm} = 3 \times 10 \times 10 = 300 \text{ mm}3 dm=3×10×10=300 mm.
Answer: 300 millimeters - 12 inches to millimeters
1 inch equals 25.4 millimeters.
Therefore, 12 in.=12×25.4=304.8 mm12 \text{ in.} = 12 \times 25.4 = 304.8 \text{ mm}12 in.=12×25.4=304.8 mm.
Answer: 304.8 millimeters - 3 inches to centimeters
1 inch equals 2.54 centimeters.
Therefore, 3 in.=3×2.54=7.62 cm3 \text{ in.} = 3 \times 2.54 = 7.62 \text{ cm}3 in.=3×2.54=7.62 cm.
Answer: 7.62 centimeters
These conversions involve basic multiplication or division using known conversion factors. Always keep track of the units and ensure consistency by converting to smaller or larger units depending on the direction of the conversion.
