1.

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

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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