Question

The decimal 0.3(repeating) represents 1/3. what type of number best describes 0.9(repeating), which is 3 times 0.9(repeating)? explain.

Answer 1

Answer:

Step-by-step explanation:

Given that the decimal 0.3 (repeating) represents $\frac{1}{3}$

We are to find out the value 0.9(repeating) using the above.

Since $0.9999... = 3 (0.3333...)\\0.9999... = 3(\frac{1}{3} ) =1$

We can solve this using the other method also

Let

$x = 0.9999....\\\\ 10x = 9.9999....\\--------------------\\9x = 9\\x=1$

We get the same answer under both the methods.

Answer 2

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