Question

guided practice
see example 1 choose the most appropriate customary unit for each measurement. justify your answer.

1. the width of a sidewalk 2. the amount of water in a pool
2. the weight of a truck 4. the distance across lake erie

see example 2 convert each measure.

1. 12 gal to quarts 6. 8 mi to feet
2. 72 oz to pounds 8. 3.5 c to fluid ounces

see example 3 9. a pitcher contains 4 c of pancake batter. a cook pours out 5 fl oz of the batter to make a pancake. how much batter remains in the pitcher?
independent practice
see example 1 choose the most appropriate customary unit for each measurement. justify your answer.

1. the weight of a watermelon 11. the wingspan of a sparrow
2. the capacity of a soup bowl 13. the height of an office building

see example 2 convert each measure.

1. 28 pt to quarts 15. 15,840 ft to miles
2. 5.4 tons to pounds 17. 6\frac{1}{3} ft to inches

example 3 18. a sculptor has a 3 lb block of clay. he adds 24 oz of clay to the block in order to make a sculpture. what is the total weight of the clay before he begins sculpting?
practice and problem solving
extra practice
see page 736. compare. write <, >, or =.

1. 6 yd □ 12 ft 20. 80 oz □ 5 lb 21. 18 in. □ 3 ft
2. 5 tons □ 12,000 lb 23. 8 gal □ 30 qt 24. 6.5 c □ 52 fl oz
3. 10,000 ft □ 2 mi 26. 20 pt □ 40 c 27. 1 gal □ 18 c
4. literature the novel twenty thousand leagues under the sea was written by jules verne in 1873. one league is approximately 3.45 miles. how many miles are in 20,000 leagues?
5. earth science the average depth of the pacific ocean is 12,925 feet. how deep is this in miles, rounded to the nearest tenth of a mile?

Explanation:

Let's solve some of these problems step by step. We'll start with the conversion problems (Example 2 type) as they involve calculations.

Problem 5: 12 gal to quarts

Step 1: Recall the conversion factor

We know that 1 gallon ($\text{gal}$) is equal to 4 quarts ($\text{qt}$). So the conversion factor is $1\ \text{gal} = 4\ \text{qt}$.

Step 2: Multiply the number of gallons by the conversion factor

To convert 12 gallons to quarts, we multiply 12 by 4. So, $12\ \text{gal} \times 4\ \frac{\text{qt}}{\text{gal}} = 48\ \text{qt}$.

Step 1: Recall the conversion factor

We know that 1 mile ($\text{mi}$) is equal to 5280 feet ($\text{ft}$). So the conversion factor is $1\ \text{mi} = 5280\ \text{ft}$.

Step 2: Multiply the number of miles by the conversion factor

To convert 8 miles to feet, we multiply 8 by 5280. So, $8\ \text{mi} \times 5280\ \frac{\text{ft}}{\text{mi}} = 42240\ \text{ft}$.

Step 1: Recall the conversion factor

We know that 1 pound ($\text{lb}$) is equal to 16 ounces ($\text{oz}$). So the conversion factor is $1\ \text{lb} = 16\ \text{oz}$, or $\frac{1\ \text{lb}}{16\ \text{oz}}$.

Step 2: Divide the number of ounces by the conversion factor

To convert 72 ounces to pounds, we divide 72 by 16. So, $72\ \text{oz} \times \frac{1\ \text{lb}}{16\ \text{oz}} = \frac{72}{16}\ \text{lb} = 4.5\ \text{lb}$.

Answer:

48 quarts

Problem 6: 8 mi to feet