Table of contents
- 0. Review of Algebra(0)
- 1. Equations & Inequalities(0)
- 2. Graphs of Equations(0)
- 3. Functions(0)
- 4. Polynomial Functions(0)
- 5. Rational Functions(0)
- 6. Exponential & Logarithmic Functions(0)
- 7. Systems of Equations & Matrices(0)
- 8. Conic Sections(0)
- 9. Sequences, Series, & Induction(0)
- 10. Combinatorics & Probability(0)
9. Sequences, Series, & Induction
Geometric Sequences
9. Sequences, Series, & Induction
Geometric Sequences: Study with Video Lessons, Practice Problems & Examples
13PRACTICE PROBLEM
Rewrite and simplify the given recurring decimal as a whole number.
![0.9 with bar on top equals 9 over 10 plus 9 over 100 plus 9 over 1000 plus 9 over 10000 plus... {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mn>0</mn><mo>.</mo><mover><mn>9</mn><mo>¯</mo></mover><mo>=</mo><mfrac><mn>9</mn><mn>10</mn></mfrac><mo>+</mo><mfrac><mn>9</mn><mn>100</mn></mfrac><mo>+</mo><mfrac><mn>9</mn><mn>1000</mn></mfrac><mo>+</mo><mfrac><mn>9</mn><mn>10000</mn></mfrac><mo>+</mo><mo>.</mo><mo>.</mo><mo>.</mo></mstyle></math>","truncated":false}](https://lightcat-files.s3.amazonaws.com/problem_images/e7b473990e64bd18-1671479426035.jpg)
Rewrite and simplify the given recurring decimal as a whole number.