Explanation:
We are adding integers — positive and negative numbers — using number lines or mental math. Remember:
- Adding a positive number means moving right on the number line.
- Adding a negative number means moving left.
- If you add opposites (like +3 and –3), they cancel out to 0.
Let’s solve each part step by step:
a. –3 + 7
Start at –3, move 7 steps to the right:
–3 → –2 → –1 → 0 → 1 → 2 → 3 → 4
So, –3 + 7 =
4
b. 2 + (–5)
Start at 2, move 5 steps left:
2 → 1 → 0 → –1 → –2 → –3
So, 2 + (–5) =
–3
c. –1 + (–2)
Start at –1, move 2 steps left:
–1 → –2 → –3
So, –1 + (–2) =
–3
d. 6 + (–4)
Start at 6, move 4 steps left:
6 → 5 → 4 → 3 → 2
So, 6 + (–4) =
2
e. –6 + 12
Start at –6, move 12 steps right:
–6 → –5 → –4 → –3 → –2 → –1 → 0 → 1 → 2 → 3 → 4 → 5 → 6
So, –6 + 12 =
6
f. 0 + (–1)
Start at 0, move 1 step left:
0 → –1
So, 0 + (–1) =
–1
Double-check all:
a. –3 + 7 = 4 ✔
b. 2 + (–5) = –3 ✔
c. –1 + (–2) = –3 ✔
d. 6 + (–4) = 2 ✔
e. –6 + 12 = 6 ✔
f. 0 + (–1) = –1 ✔
Final Answer:
a. 4
b. –3
c. –3
d. 2
e. 6
f. –1
Parent Tip: Review the logic above to help your child master the concept of math worksheet integers.
