Question

Here is the exact transcription of the options from the image:

1. $0.\overline{07}$

2. $0.0\overline{7}$

3. 0.7

4. $0.\overline{7}$

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer:

D. 4

The greatest number among all the options is Option 4: $0.\overline{7}$.

To find the largest number, write out the recurring (repeating) decimal values for each option:

* Option 1 ($0.\overline{07}$): The bar is over both '07', so it repeats as $0.070707...$

* Option 2 ($0.0\overline{7}$): The bar is only over '7', so it repeats as $0.077777...$

* Option 3 ($0.7$): This is a terminating decimal, which is $0.700000...$

* Option 4 ($0.\overline{7}$): The bar is over '7', so it repeats infinitely as $0.777777...$

## Comparing the values at the first decimal place:

* Options 1 and 2 start with 0.0... (smaller)

* Option 3 is 0.700...

* Option 4 is 0.777...

Since 0.777... is greater than 0.700..., Option 4 is the largest.