To determine which decimal is furthest to the right on a number line, we need to identify the largest number among the given decimals. Let's compare each decimal step by step:
1. Compare 0.507 and 0.57:
- The integer part is 0 for both numbers.
- Compare the digits after the decimal point:
- The first digit after the decimal point for both numbers is 5.
- The second digit is 0 for 0.507 and 7 for 0.57.
- Since 7 is greater than 0, 0.57 is larger than 0.507.
2. Now compare the larger value, 0.57, with 0.5616:
- The integer part is still 0 for both.
- Compare the digits after the decimal point:
- The first digit after the decimal point for both numbers is 5.
- The second digit is 7 for 0.57 and 6 for 0.5616.
- Since 7 is greater than 6, 0.57 is larger than 0.5616.
Since 0.57 is larger than both 0.507 and 0.5616, it will be positioned furthest to the right on a number line.
Thus, the decimal furthest to the right on a typical horizontal number line is 0.57.
