Question

the number 0.4444....in p/q form is​

Answer 1

Answer:

4444/10000

Step-by-step explanation:

4444/10000

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Answer 2

The p/q form of the number 0.44... is 4/9.

Given,

A non-terminating and non-recurring number 0.444...

To Find,

The number 0.444... in p/q form.

Solution,

Let us assume that

x = 0.444... ----(i), assume it as equation number (i)
Now, we will multiply both sides of the equation with 10

10x = 4.444...---(ii), assume it as equation (ii)

Now, we will subtract equation (i) from equation (ii)

10x-x = 4.44...-0.444...

Now, we will solve this linear equation to get the value of x.

9x = 4

x = 4/9, which is the p/q form of the number 0.444.

Hence, the p/q form of the number 0.44... is 4/9.

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