Adding Positive and Subtracting Integers | Integer Worksheets - Free Printable
Educational worksheet: Adding Positive and Subtracting Integers | Integer Worksheets. Download and print for classroom or home learning activities.
JPG
230×298
12.6 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1134294
⭐
Show Answer Key & Explanations
Step-by-step solution for: Adding Positive and Subtracting Integers | Integer Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Adding Positive and Subtracting Integers | Integer Worksheets
It looks like you've uploaded an image of a math worksheet titled "Watch the Sign! Adding and Subtracting Integers". The task involves solving integer addition and subtraction problems, paying close attention to signs.
Since I can't view images directly, I’ll help you solve this step by step based on the text you’ve provided. Here’s the list of problems from your worksheet:
---
A) 8 + 4 =
B) 5 + 2 =
C) 9 + (–8) =
D) 6 – 11 =
E) –7 + 5 =
F) 8 + (–8) =
G) –12 + (–4) =
H) –3 – 5 =
I) 10 + (–5) =
J) –7 – 3 =
K) –13 + (–15) =
L) –17 + 60 =
M) –12 – 16 =
N) 19 – (–5) =
O) –13 + 9 =
P) –20 + 20 =
Q) 28 – (–11) =
R) –18 – (–16) =
S) –23 + (–8) =
T) –13 – (–5) =
---
Let’s go through each one with explanations.
---
Answer: 12
Explanation: Both numbers are positive. Add them: 8 + 4 = 12.
---
Answer: 7
Explanation: Simple addition: 5 + 2 = 7.
---
Answer: 1
Explanation: Adding a negative is the same as subtracting: 9 – 8 = 1.
---
Answer: –5
Explanation: Subtracting a larger number from a smaller one gives a negative result: 6 – 11 = –5.
---
Answer: –2
Explanation: Start at –7 and add 5 → move right 5 units: –7 + 5 = –2.
---
Answer: 0
Explanation: Opposite numbers cancel out: 8 – 8 = 0.
---
Answer: –16
Explanation: Adding two negatives: –12 – 4 = –16.
---
Answer: –8
Explanation: Subtracting a positive means moving left: –3 – 5 = –8.
---
Answer: 5
Explanation: 10 – 5 = 5.
---
Answer: –10
Explanation: –7 – 3 = –10 (subtracting a positive).
---
Answer: –28
Explanation: Add absolute values and keep the negative sign: 13 + 15 = 28 → –28.
---
Answer: 43
Explanation: 60 – 17 = 43. Since 60 is larger and positive, answer is positive.
---
Answer: –28
Explanation: Subtracting a positive is like adding a negative: –12 – 16 = –28.
---
Answer: 24
Explanation: Subtracting a negative is like adding: 19 + 5 = 24.
---
Answer: –4
Explanation: –13 + 9 = –4 (start at –13, move right 9 units).
---
Answer: 0
Explanation: Opposites cancel: –20 + 20 = 0.
---
Answer: 39
Explanation: Subtracting a negative → add: 28 + 11 = 39.
---
Answer: –2
Explanation: Subtracting a negative → add: –18 + 16 = –2.
---
Answer: –31
Explanation: Two negatives: –23 – 8 = –31.
---
Answer: –8
Explanation: Subtracting a negative → add: –13 + 5 = –8.
---
| Problem | Answer |
|--------|--------|
| A) | 12 |
| B) | 7 |
| C) | 1 |
| D) | –5 |
| E) | –2 |
| F) | 0 |
| G) | –16 |
| H) | –8 |
| I) | 5 |
| J) | –10 |
| K) | –28 |
| L) | 43 |
| M) | –28 |
| N) | 24 |
| O) | –4 |
| P) | 0 |
| Q) | 39 |
| R) | –2 |
| S) | –31 |
| T) | –8 |
---
- Adding a negative = subtracting: `a + (–b) = a – b`
- Subtracting a negative = adding: `a – (–b) = a + b`
- When adding integers with same signs, add absolute values and keep the sign.
- When adding integers with different signs, subtract smaller from larger and take the sign of the larger.
Let me know if you'd like a printable version or explanation for any specific problem!
Since I can't view images directly, I’ll help you solve this step by step based on the text you’ve provided. Here’s the list of problems from your worksheet:
---
Problems:
A) 8 + 4 =
B) 5 + 2 =
C) 9 + (–8) =
D) 6 – 11 =
E) –7 + 5 =
F) 8 + (–8) =
G) –12 + (–4) =
H) –3 – 5 =
I) 10 + (–5) =
J) –7 – 3 =
K) –13 + (–15) =
L) –17 + 60 =
M) –12 – 16 =
N) 19 – (–5) =
O) –13 + 9 =
P) –20 + 20 =
Q) 28 – (–11) =
R) –18 – (–16) =
S) –23 + (–8) =
T) –13 – (–5) =
---
Let’s go through each one with explanations.
---
A) 8 + 4 =
Answer: 12
Explanation: Both numbers are positive. Add them: 8 + 4 = 12.
---
B) 5 + 2 =
Answer: 7
Explanation: Simple addition: 5 + 2 = 7.
---
C) 9 + (–8) =
Answer: 1
Explanation: Adding a negative is the same as subtracting: 9 – 8 = 1.
---
D) 6 – 11 =
Answer: –5
Explanation: Subtracting a larger number from a smaller one gives a negative result: 6 – 11 = –5.
---
E) –7 + 5 =
Answer: –2
Explanation: Start at –7 and add 5 → move right 5 units: –7 + 5 = –2.
---
F) 8 + (–8) =
Answer: 0
Explanation: Opposite numbers cancel out: 8 – 8 = 0.
---
G) –12 + (–4) =
Answer: –16
Explanation: Adding two negatives: –12 – 4 = –16.
---
H) –3 – 5 =
Answer: –8
Explanation: Subtracting a positive means moving left: –3 – 5 = –8.
---
I) 10 + (–5) =
Answer: 5
Explanation: 10 – 5 = 5.
---
J) –7 – 3 =
Answer: –10
Explanation: –7 – 3 = –10 (subtracting a positive).
---
K) –13 + (–15) =
Answer: –28
Explanation: Add absolute values and keep the negative sign: 13 + 15 = 28 → –28.
---
L) –17 + 60 =
Answer: 43
Explanation: 60 – 17 = 43. Since 60 is larger and positive, answer is positive.
---
M) –12 – 16 =
Answer: –28
Explanation: Subtracting a positive is like adding a negative: –12 – 16 = –28.
---
N) 19 – (–5) =
Answer: 24
Explanation: Subtracting a negative is like adding: 19 + 5 = 24.
---
O) –13 + 9 =
Answer: –4
Explanation: –13 + 9 = –4 (start at –13, move right 9 units).
---
P) –20 + 20 =
Answer: 0
Explanation: Opposites cancel: –20 + 20 = 0.
---
Q) 28 – (–11) =
Answer: 39
Explanation: Subtracting a negative → add: 28 + 11 = 39.
---
R) –18 – (–16) =
Answer: –2
Explanation: Subtracting a negative → add: –18 + 16 = –2.
---
S) –23 + (–8) =
Answer: –31
Explanation: Two negatives: –23 – 8 = –31.
---
T) –13 – (–5) =
Answer: –8
Explanation: Subtracting a negative → add: –13 + 5 = –8.
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| A) | 12 |
| B) | 7 |
| C) | 1 |
| D) | –5 |
| E) | –2 |
| F) | 0 |
| G) | –16 |
| H) | –8 |
| I) | 5 |
| J) | –10 |
| K) | –28 |
| L) | 43 |
| M) | –28 |
| N) | 24 |
| O) | –4 |
| P) | 0 |
| Q) | 39 |
| R) | –2 |
| S) | –31 |
| T) | –8 |
---
🔍 Key Rules to Remember:
- Adding a negative = subtracting: `a + (–b) = a – b`
- Subtracting a negative = adding: `a – (–b) = a + b`
- When adding integers with same signs, add absolute values and keep the sign.
- When adding integers with different signs, subtract smaller from larger and take the sign of the larger.
Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of integers addition and subtraction worksheet.