Question

1. model the following problems using a number line and record your answer. remember that the arrows direction indicates the sign, and the arrows length represents the size of the number.
2. rewrite -6 - (-4) as an addition problem and give the final answer. model the expression using a number line.

a. -4 + 6 =
b. 8 + -3 =
c. -2 + -7 =
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Explanation:

Step1: Rewrite subtraction as addition

Subtracting a number is the same as adding its opposite. So, $-6-(-4)$ can be rewritten as $-6 + 4$.

Step2: Perform the addition

On the number - line, start at - 6. Since we are adding 4, we move 4 units to the right. $-6+4=-2$.

Answer:

$-6-(-4)=-6 + 4=-2$

For the other expressions:
a. $-4 + 6$:

• Start at - 4 on the number - line. Adding 6 means moving 6 units to the right. So, $-4+6 = 2$.

b. $8+-3$ (which is the same as $8 - 3$):

• Start at 8 on the number - line. Subtracting 3 (or adding - 3) means moving 3 units to the left. So, $8+-3=8 - 3=5$.

c. $-2+-7$ (which is the same as $-2-7$):

• Start at - 2 on the number - line. Adding - 7 means moving 7 units to the left. So, $-2+-7=-2-7=-9$.