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If the points C and D represent real number 0.43333… and 0.7666… on the number line. Then, find the difference between C and D.1. 12/72. 1/33. 13/194. 27/9 |
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Answer» Correct Answer - Option 2 : 1/3 Concept Value of 0.333… = 3/9 Value of 0.66… = 6/9 Explanation Value of 0.4333…. Let x = 0.4333… ----(1) Multiply 0.4333… by 10 10x = 4.333…. ----(2) Subtract (1) from (2) ⇒ 10x – x = 4.333… - 0.4333… ⇒ 9x = 3.9 ⇒ x = 39/90 ----(A) Value of 0.7666…. Let y = 0.7666…. ----(3) Multiply 0.766… by 10 ⇒ 10y = 7.6666 ----(4) Subtract (3) from (4) ⇒ 10y – y = 7.666… - 0.7666 ⇒ 9y = 6.9 ⇒ y = 69/90 ----(B) Difference of (A) and (B) ⇒ (69/90) – (39/90) ⇒ 30/90 ⇒ 1/3 |
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