Final answer:
The number line model that matches the expression |4 - 1| is a line with 0 in the middle and a dot 3 units to the right.
Step-by-step explanation:
The expression |4 - 1| represents the absolute value of the difference between 4 and 1. In this case, the absolute value of the difference is 3, since |4 - 1| is equal to 3. To represent this on a number line, we can draw a line with 0 in the middle, and place a dot at the point that represents 3 units to the right of 0.
Therefore, the number line model that matches the expression |4 - 1| is:
Number Line:
-3, -2, -1, 0, 1, 2, 3
O
|
3
The expression |4 - 1| represents the absolute value of the number resulting from the subtraction of 1 from 4. The absolute value of a number is the distance between that number and 0 on a number line, regardless of direction. To find |4 - 1|, we subtract 1 from 4 to get 3. Since 3 is a positive number, the absolute value of 3 is simply 3. Therefore, the number line model that matches the expression |4 - 1| would be a point on the number line that is 3 units away from zero.