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Lesson 5: Estimation and Reasonableness Checks — Practice Questions

  1. 1. A picture frame is 8 inches long. Using the exact conversion factor $1 \text{ in} = 2.54 \text{ cm}$, what is its exact length in centimeters? The length is ___ cm.

  2. 2. A bag of flour weighs 4 kilograms. Using the approximation $1 \text{ kg} \approx 2.2 \text{ lb}$, what is the approximate weight of the bag in pounds? The weight is approximately ___ lb.

  3. 3. A container holds 5 liters of water, and another holds 5 quarts. Using the approximation $1 \text{ L} \approx 1.06 \text{ qt}$, which statement is true?

    • A. 5 L is less than 5 qt
    • B. 5 L is equal to 5 qt
    • C. 5 L is greater than 5 qt
    • D. The relationship cannot be determined
  4. 4. A road race is 20 miles long. Using the conversion factor $1 \text{ mi} \approx 1.61 \text{ km}$, what is the approximate length of the race in kilometers? The length is approximately ___ km.

  5. 5. A piece of wood is 50.8 centimeters long. Given the exact conversion $1 \text{ in} = 2.54 \text{ cm}$, what is the exact length of the wood in inches? The length is ___ in.

  6. 6. A weight is 5 kilograms. Using the approximation $1 \text{ kg} \approx 2.2 \text{ lb}$, how does this weight compare to 10 pounds?

    • A. 5 kg is less than 10 lb
    • B. 5 kg is equal to 10 lb
    • C. 5 kg is greater than 10 lb
    • D. The relationship is unknown
  7. 7. A bottle contains 2 liters of juice. Using the approximation $1 \text{ L} \approx 1.06 \text{ qt}$, what is the approximate volume of the juice in quarts? The volume is approximately ___ qt.

  8. 8. Estimate the sum of $6.8 + 9.1$ by rounding each number to the nearest whole number. The estimated sum is ___.

  9. 9. A plant grew $3.9$ centimeters one week and $5.2$ centimeters the next. By rounding, estimate the plant's total growth in centimeters over the two weeks. The estimated growth is ___ centimeters.

  10. 10. Estimate the sum of $24.89 + 11.05$ by rounding each decimal to the nearest whole number. The estimated sum is ___.