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Telangana TET Paper 2 Math and Science Model Paper 4

Section: Math and Science

Question : 128 of 150

Marks: +1, -0

X = 0

.783333 ..., find different value of X.

Solution:

Concept:

Converting a repeating decimal into a fraction using subtraction of shifted decimals.

Explanation:

Let

X = 0.78333...

Multiply both sides by 10:

10X = 7.83333...

Subtract the first equation from the second:

10X - X = 7.83333... - 0.78333...

This gives

9X = 7.05

Divide both sides by 9:

X = 7.05 / 9

Multiply numerator and denominator by 100 to remove decimal:

X = 705 / 900

Answer:

Option B,

705/900

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