Question

Model how to subtract −1−(−3 12) on the number line.

Answer 1

To model the subtraction of −1−(−3 ½) on a number line, start at −1 and move 3 ½ units to the right, resulting in the final position of 2 ½ on the number line.

Step-by-step explanation:

How to Model Subtraction on a Number Line

To model how to subtract −1−(−3 ½) on the number line, we need to understand that subtracting a negative is the same as adding its positive equivalent. Therefore, our equation becomes −1+(−(−3 ½)) which simplifies to −1+3 ½. Starting at −1 on the number line, we move 3 ½ units to the right because we add 3 ½ to −1. This brings us to the position of 2 ½ on the number line, which is our answer.

Here are the steps in detail:

1. Place a point at −1 on the number line.
2. Since we are adding 3 ½ (the opposite of subtracting −3 ½), move 3 full units to the right.
3. Move an additional ½ unit to the right to account for the half unit.
4. The new point you land on is 2 ½, and that is the result of the subtraction.