Is 6 greater than, less than, or equal to |−13|?
A. 6 is greater than |−13|
B. |−6| is greater than |−13|
C. 6 is less than |−13|
D. 6 is equal to |−13|
A. 6 is greater than |−13|
In this case, we can determine the relationship between 6 and |−13| by comparing their numerical values. The absolute value of −13, denoted as |−13|, is equal to 13 since it represents the distance of −13 from 0 on the number line.
Now, comparing 6 and 13, we can see that 6 is less than 13. Therefore, the correct answer is:
C. 6 is less than |−13|