Question

Select the number line model that matches the expression |1/4 - 5/4|.

1) |1/4 - 5/4| = 1
2) |1/4 - 5/4| = 3/2
3) |1/4 - 5/4| = 1/2
4) |1/4 - 5/4| = 2

Answer 1

The expression |1/4 - 5/4| evaluates to 1 using the absolute value of the difference between 1/4 and 5/4.

Step-by-step explanation:

The expression |1/4 - 5/4| represents the absolute value of the difference between 1/4 and 5/4. To evaluate this expression, we subtract 5/4 from 1/4 and then take the absolute value of the result. In this case, |1/4 - 5/4| = |-4/4| = 4/4 = 1. Therefore, the number line model that matches the expression is |1/4 - 5/4| = 1 (Option 1).