Precision & Units - Pre Algebra

1. Apples cost 6 dollars for 3 pounds. What is the unit price, with units?

   2 dollars per pound, since $6 \div 3 = 2$.

2. What is 0.0467 rounded to the nearest thousandth?

   0.047. The ten-thousandths digit is 7, so the thousandths digit rounds up from 6 to 7.

3. If the lengths of a box are measured in centimeters, what unit is its volume in?

   Cubic centimeters, because three lengths in centimeters are multiplied.

4. What is the area of a 4 m by 3 m rectangle, with its correct unit?

   12 square meters. Multiplying meters by meters gives square meters.

5. A calculation gives 12.456 dollars. What is this amount rounded to the nearest cent?

   12.46 dollars. The thousandths digit is 6, so the hundredths digit rounds up.

6. How many square centimeters are in 1 square meter?

   10,000 square centimeters. A square meter is 100 cm by 100 cm.

7. How many feet are in 5 yards?

   15 feet, since 1 yard = 3 feet.

8. How many centimeters are in 2.5 meters?

   250 centimeters, since 1 m = 100 cm.

9. A car travels 120 miles in 2 hours. What is its rate, with units?

   60 miles per hour. Dividing miles by hours gives miles per hour.

10. What is 3.14159 rounded to the nearest hundredth?

    3.14. The thousandths digit is 1, so the hundredths digit stays 4.

11. How many kilograms are in 3,500 grams?

    3.5 kilograms, since 1 kg = 1,000 g.

12. Using 1 inch = 2.54 centimeters, how many centimeters are in 10 inches?

    25.4 centimeters, since $10 \times 2.54 = 25.4$.

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