Question

arning goal 7.4: students will use number lines to represent and perform integer addition. 6. use the number line to show the sum of -2 + (-6). then, complete the equation. -2 + (-6) = ____ 7. use the number line to show the sum of -9 + 3. then, complete the equation. -9 + 3 = ____

Explanation:

for Question 6:

Step1: Start at -2 on number line

We begin at the integer -2, which is our starting point for the addition.

Step2: Move left 6 units (for -6)

Adding a negative number means moving to the left on the number line. So from -2, we move 6 units to the left. Each unit is one integer step. Moving left from -2: -2 - 1 = -3, -3 - 1 = -4, -4 - 1 = -5, -5 - 1 = -6, -6 - 1 = -7, -7 - 1 = -8. So after moving 6 units left from -2, we reach -8.

for Question 7:

Step1: Start at -9 on number line

Our starting point for the addition is -9.

Step2: Move right 3 units (for +3)

Adding a positive number means moving to the right on the number line. From -9, we move 3 units to the right. Each unit is one integer step. Moving right from -9: -9 + 1 = -8, -8 + 1 = -7, -7 + 1 = -6. So after moving 3 units right from -9, we reach -6.

Answer:

for Question 6:
\(-2 + (-6) = -8\)