2020 · Q25
If the points P and Q represents real number 0.73̅ and 0.56̅ on the number line, then what is the distance between P and Q?
Elementary MathematicsNumber System
- A1/6
- B1/5
- C16/45
- D11/90
Explanation
0.7333… = 0.7 + 0.0333… = 7/10 + 1/30 = 11/15, and 0.5666… = 0.5 + 0.0666… = 1/2 + 1/15 = 17/30. Their difference is 22/30 − 17/30 = 5/30 = 1/6. In lowest terms the distance is 1/6.