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Lesson 1: Use fraction benchmark numbers to assess reasonableness of addition and subtraction equations. — Practice Questions

  1. 1. Is the equation $\frac{1}{10} + \frac{8}{15} = \frac{73}{150}$ reasonable? Use estimation to decide.

    • A. Reasonable
    • B. Not reasonable
  2. 2. Estimate the sum $\frac{4}{9} + \frac{12}{13}$ by rounding each fraction to the nearest benchmark ($0, \frac{1}{2}, 1$). The best estimate is ___.

  3. 3. A student claims that $\frac{11}{12} - \frac{1}{7} = \frac{5}{12}$. Is this claim reasonable based on estimation?

    • A. Reasonable
    • B. Not reasonable
  4. 4. Is the equation $4\frac{1}{8} + 1\frac{9}{10} = 6\frac{1}{40}$ reasonable based on estimation?

    • A. Reasonable
    • B. Not reasonable
  5. 5. Estimate the difference $7\frac{8}{9} - 3\frac{4}{7}$ by rounding each mixed number to the nearest whole or half. The best estimate is ___.

  6. 6. Using estimation, is the calculated difference $5\frac{1}{6} - 2\frac{10}{11} = 2\frac{13}{66}$ reasonable?

    • A. Reasonable
    • B. Not reasonable
  7. 7. Which of the following is the best estimate for the sum $\frac{5}{11} + \frac{8}{17}$?

    • A. 0
    • B. 1/2
    • C. 1
    • D. 1 1/2
  8. 8. A recipe calls for $1\frac{1}{12}$ cups of milk and $3\frac{7}{8}$ cups of water. Is it reasonable to estimate that the total amount of liquid is about 5 cups?

    • A. Yes, it is reasonable.
    • B. No, it is not reasonable.
  9. 9. The fraction $\frac{5}{11}$ is closest to which benchmark number?

    • A. 0
    • B. $\frac{1}{2}$
    • C. 1
    • D. 2
  10. 10. Which of the following fractions is closest to the benchmark 1?

    • A. $\frac{3}{10}$
    • B. $\frac{8}{15}$
    • C. $\frac{11}{12}$
    • D. $\frac{1}{7}$