Question

Which decimal is equivalent to 511?
0.45
0.4545
0.45¯¯¯¯
0.44444444…

Answer 1

To find which decimal is equivalent to 511, we need to convert it to a decimal format.

The integer 511 can be expressed as 511.0 in decimal.

Now let's examine the options:

1. **0.45** – This is equivalent to the fraction \( \frac{45}{100} = 0.45 \).
2. **0.4545** – This is equivalent to the fraction \( \frac{4545}{10000} = 0.4545 \).
3. **0.45¯¯¯¯** – This means 0.454545... (with the '45' repeating indefinitely), which can be represented as the fraction \( \frac{45}{99} = \frac{5}{11} \approx 0.4545 \).
4. **0.44444444...** – This is equivalent to the repeating decimal \( 0.4444... \), which can be represented as \( \frac{4}{9} \approx 0.4444 \).

None of the options provided represent the integer 511 or its decimal equivalent.

Thus, **none of the options given** are equivalent to 511.