Let's determine the relative position of the number 14 with respect to the number -23 on a number line.
1. Understanding the Problem:
- We need to find the position of the number 14 in relation to the number -23 on a number line.
- Determine if 14 is to the left or to the right of -23 and also calculate the distance between them.
2. Computing the Distance:
- To find out how far 14 is from -23, we need to calculate the difference between these two numbers.
- The difference is found by subtracting the lesser number (in this case, -23) from the greater number (14). So we have:
[tex]\[
14 - (-23) = 14 + 23 = 37
\][/tex]
3. Interpreting the Results:
- Since 14 is greater than -23, 14 is to the right of -23 on the number line.
- The calculated difference, 37, tells us that 14 is indeed 37 units to the right of -23.
4. Conclusion:
- Given the calculations and interpretation of the results, the number 14 is 37 units to the right of the number -23.
Therefore, the correct statement among the given options is:
14 is to the right of -23.
