Question

Find the value of 0.423 if 23 is repeating in gp chapter

Answer 1

Suppose, x=0.42323232323…

Multiply the above equation by 10

10x=4.23232323….(equation 1)

Multiply the equation 1 by 100

1000x=423.232323… (equation2)

Now, subtracting equation 1 from equation 2, we get:

1000x-10x=419

990x=419

x=419/990

Therefore, the value of 0.42323232323… is 419/990

Answer 2

Answer:

, x=0.42323232323…

Multiply the above equation by 10

10x=4.23232323….(equation 1)

Multiply the equation 1 by 100

1000x=423.232323… (equation2)

Now, subtracting equation 1 from equation 2, we get:

1000x-10x=419

990x=419

x=419/990

Therefore, the value of 0.42323232323… is 419/990

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