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Which of the following is the value of $6.197777 …$ in the form of $p q,$ where p and q are integers?

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2789450

2889450

2689450

2799450

answer is D.

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Detailed Solution

The given number is

6.197777 …

Let’s assume that the number be

x .

∴ x = 6.197777 … (1)

By multiplying both sides of the equation (1) by 10, we obtain,

10 x = 61.97777 … (2)

By subtracting equation (1) from equation (2), we obtain,

10 x − x = 61.97777 − 6.19777

⇒ 9 x = 55.78

⇒ x = 55.78 9 ⇒ x = 5578900 ⇒ x = 2789450

The number

6.197777 …

in the form

p q

is equal to

2789450 .

Hence, option (4) is correct.

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