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Lesson 4: Four Operations with Rational Numbers — Practice Questions

  1. 1. A tailor has a bolt of fabric that is $5\frac{1}{3}$ yards long. If she uses $2\frac{1}{2}$ yards for a dress, how many yards of fabric are left? Give your answer as a mixed number. ___ yards

  2. 2. The temperature at noon was $10.5$ degrees. By midnight, it had dropped by $15.7$ degrees. What was the temperature at midnight?

    • A. -5.2 degrees
    • B. 5.2 degrees
    • C. -26.2 degrees
    • D. 26.2 degrees
  3. 3. On a long hike, you drink $\frac{1}{3}$ of your water in the morning and $\frac{2}{5}$ in the afternoon. What fraction of your water have you consumed in total? ___

  4. 4. A video game is priced at $45.60$ dollars. If you have a coupon for $\frac{1}{4}$ off, what is the dollar amount of the discount? ___ dollars

  5. 5. A wooden plank is $10\frac{1}{2}$ inches long. If it is cut into smaller pieces that are each $1\frac{3}{4}$ inches long, how many full pieces can be cut from the plank? ___

  6. 6. What is the additive inverse (opposite) of the number 15? The answer is ___.

  7. 7. What is the multiplicative inverse (reciprocal) of the number 9? The answer is ___.

  8. 8. For any number $x$, which term describes the number $-x$?

    • A. Its reciprocal
    • B. Its additive inverse
    • C. Its multiplicative inverse
    • D. Its identity
  9. 9. The sum of $-\frac{5}{8}$ and its additive inverse is 0. What is the additive inverse of $-\frac{5}{8}$? The answer is ___.

  10. 10. The product of $-\frac{7}{4}$ and its multiplicative inverse is 1. What is the multiplicative inverse of $-\frac{7}{4}$?