For questions 22-25 Use the following: 1 quart = 0.946 liters 1 foot = 0.305 meters 1 ounce = 28.4 grams 22. 255.6 grams = ounces 23. 6 quarts = liters 24. 14 feet = meters 25. 7 liters = quarts
22. 255.6 grams = ? ounces
Use the conversion:
1 ounce = 28.4 grams255.6÷28.4=9 ounces255.6 \div 28.4 = 9 \text{ ounces}255.6÷28.4=9 ounces
Answer: 9 ounces
23. 6 quarts = ? liters
Use the conversion:
1 quart = 0.946 liters6×0.946=5.676 liters6 \times 0.946 = 5.676 \text{ liters}6×0.946=5.676 liters
Answer: 5.676 liters
24. 14 feet = ? meters
Use the conversion:
1 foot = 0.305 meters14×0.305=4.27 meters14 \times 0.305 = 4.27 \text{ meters}14×0.305=4.27 meters
Answer: 4.27 meters
25. 7 liters = ? quarts
Use the conversion:
1 quart = 0.946 liters
So:7÷0.946=7.4 quarts (rounded)7 \div 0.946 = 7.4 \text{ quarts (rounded)}7÷0.946=7.4 quarts (rounded)
Answer: 7.4 quarts
Explanation
In scientific and mathematical work, it’s essential to convert between measurement systems, particularly between the metric system and the U.S. customary system. This skill is useful in everyday life and is critical in fields such as science, engineering, and medicine.
To convert from grams to ounces, we use the relationship that 1 ounce equals 28.4 grams. So, when given a mass in grams, we divide by 28.4 to find the number of ounces. For instance, 255.6 grams divided by 28.4 gives 9 ounces.
Next, when converting volume from quarts to liters, we multiply by the conversion factor. Since 1 quart equals 0.946 liters, multiplying 6 quarts by 0.946 gives 5.676 liters. This conversion is useful for interpreting liquid measurements in recipes or scientific experiments.
When converting length from feet to meters, we use the conversion 1 foot = 0.305 meters. So, 14 feet multiplied by 0.305 equals 4.27 meters. Understanding this helps when measuring distances using international units, such as in athletics or travel.
Finally, to convert from liters to quarts, we reverse the conversion. Since 1 quart equals 0.946 liters, we divide the number of liters by 0.946 to get quarts. For example, 7 liters divided by 0.946 results in approximately 7.4 quarts.
By understanding and applying these conversion factors, students develop flexibility with units and precision in problem-solving, skills that are foundational for higher-level math and science topics.
