Lesson 42: Repeating Decimals — Practice Questions

1. 1. Which of the following correctly represents the decimal $3.4181818...$ using bar notation for the repetend?

   • A. $3.\overline{418}$
   • B. $3.4\overline{18}$
   • C. $3.41\overline{8}$
   • D. $\overline{3.418}$

2. 2. Convert the fraction $\frac{4}{11}$ into a repeating decimal using bar notation. The result is ___.

3. 3. Which expression correctly uses bar notation to write the decimal $0.12444...$?

   • A. $0.\overline{124}$
   • B. $0.1\overline{24}$
   • C. $0.12\overline{4}$
   • D. $0.124\overline{4}$

4. 4. Write the number $2.0\overline{7}$ as a decimal showing the first five decimal places. ___

5. 5. Convert the fraction $\frac{7}{12}$ into a decimal. Which of the following correctly represents the result using bar notation?

   • A. $0.5\overline{83}$
   • B. $0.58\overline{3}$
   • C. $0.\overline{583}$
   • D. $0.583$

6. 6. Round the number $0.\overline{5}$ to the nearest thousandth. The answer is ___.

7. 7. What is the number $7.1\overline{28}$ rounded to the nearest thousandth?

   • A. $7.128$
   • B. $7.129$
   • C. $7.13$
   • D. $7.12$

8. 8. Round $12.\overline{314}$ to four decimal places. The result is ___.

9. 9. What is $8.12\overline{35}$ when rounded to the nearest thousandth?

   • A. $8.123$
   • B. $8.124$
   • C. $8.1235$
   • D. $8.1236$

10. 10. Round the number $4.82\overline{7}$ to the nearest thousandth. The rounded value is ___.