Let's solve each problem step by step using the number line method as shown in the worksheet. The key idea is to
start at the first number and then
move left or right based on the second number:
-
Positive numbers: Move
right on the number line.
-
Negative numbers: Move
left on the number line.
---
a. $-3 + 7 = $
1. Start at $-3$ on the number line.
2. Add $+7$: move 7 units to the
right.
- From $-3$, moving right: $-2, -1, 0, 1, 2, 3, 4$
3. Final position:
4
✔ Answer:
4
---
b. $2 + (-5) = $
1. Start at $2$.
2. Add $-5$: move 5 units to the
left.
- From $2$: $1, 0, -1, -2, -3$
3. Final position:
-3
✔ Answer:
-3
---
c. $-1 + (-2) = $
1. Start at $-1$.
2. Add $-2$: move 2 units to the
left.
- From $-1$: $-2, -3$
3. Final position:
-3
✔ Answer:
-3
---
d. $6 + (-4) = $
1. Start at $6$.
2. Add $-4$: move 4 units to the
left.
- From $6$: $5, 4, 3, 2$
3. Final position:
2
✔ Answer:
2
---
e. $-6 + 12 = $
1. Start at $-6$.
2. Add $+12$: move 12 units to the
right.
- From $-6$: $-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6$
3. Final position:
6
✔ Answer:
6
---
f. $0 + (-1) = $
1. Start at $0$.
2. Add $-1$: move 1 unit to the
left.
- From $0$: $-1$
3. Final position:
-1
✔ Answer:
-1
---
✔ Final Answers:
a. $-3 + 7 = \boxed{4}$
b. $2 + (-5) = \boxed{-3}$
c. $-1 + (-2) = \boxed{-3}$
d. $6 + (-4) = \boxed{2}$
e. $-6 + 12 = \boxed{6}$
f. $0 + (-1) = \boxed{-1}$
You can now fill these answers into the blanks on your worksheet!
Parent Tip: Review the logic above to help your child master the concept of adding integers on a number line worksheet.
