Grade 7 Add & Subtract Integers worksheet
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How to explain it
- On a number line, adding moves right and subtracting moves left.
- A positive and a negative of the same size cancel out: +1 and −1 make 0.
- Subtracting a negative is the same as adding a positive.
Example: −3 + 5 = ? Start at −3 on the number line. Move 5 to the right: −2, −1, 0, 1, 2. Answer: 2
Question 1
Which expression has the same value as -7 − 2?
- 7 + 2
- 2 − (-7)
- -7 + (-2)
- -7 + 2
-7 + (-2)
Hint: Subtracting a number is the same as adding its opposite. The opposite of 2 is -2, so -7 − 2 = -7 + (-2) = -9.
Question 2
What is 6 − (-4)?
6 − (-4) = ?
answer box
10
Hint: Subtracting is the same as adding the opposite: 6 − (-4) = 6 + 4 = 10.
Question 3
What is 6 + (-12)?
6 + (-12) = ?
- -18
- -6
- 18
- 6
-6
Hint: Different signs: subtract the sizes, 12 − 6 = 6. Keep the sign of -12, the number farther from zero. The answer is -6.
Question 4
Start at -12 and add (-3). Where do you land?
- -16
- -9
- 15
- -15
-15
Hint: Adding a negative number moves left. From -12, jump 3 to the left to land on -15.
Question 5
Maya is scuba diving at -16 m (below the surface). Maya swims up 11 m, then down 2 m. What integer gives Maya's new position?
answer boxm
-7 m
Hint: Up is + and down is −: -16 + 11 − 2 = -7. Work left to right.
Question 6
At 6 a.m. the temperature was -3°C. By noon it had risen 8°C. What was the temperature at noon?
🌡️-3°Canswer box°C
5 °C
Hint: Rising means adding: -3 + 8 = 5. On a thermometer, count up 8 degrees from -3.
Question 7
A hiker is 80 m above sea level. A scuba diver is 10 m below sea level. How far apart are they, measured straight up and down?
answer boxm
90 m
Hint: Write them as integers: 80 and -10. The difference is 80 − (-10) = 80 + 10 = 90 m.
Question 8
Put these integers in order from least to greatest.
- -4
- -7
- 6
- 8
- -2
-7 → -4 → -2 → 6 → 8
Hint: Picture a number line: the farther left, the less. Every negative is less than zero, and a negative farther from zero is less, so -7 < -4. The least here is -7.
Question 9
Which expression has the same value as -5 − (-8)?
- -5 + 8
- -8 − (-5)
- 5 + (-8)
- -5 + (-8)
-5 + 8
Hint: Subtracting a number is the same as adding its opposite. The opposite of -8 is 8, so -5 − (-8) = -5 + 8 = 3.
Question 10
Start at -8 and add (-3). Where do you land?
- -5
- -11
- -12
- 11
-11
Hint: Adding a negative number moves left. From -8, jump 3 to the left to land on -11.
Answer key
- 1. -7 + (-2)
- 2. 10
- 3. -6
- 4. -15
- 5. -7 m
- 6. 5 °C
- 7. 90 m
- 8. -7 → -4 → -2 → 6 → 8
- 9. -5 + 8
- 10. -11
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