7th grade · Math · Unit 1 of 17
Add & Subtract Integers
Positives, negatives and zero pairs
What your child practices
Adding and subtracting positive and negative numbers with number lines, temperatures and elevations, including the idea that subtracting a number is the same as adding its opposite.
Maine Learning Results learning standard: 7.NS.A.1 · adding and subtracting rational numbers, including negative numbers
How we explain it
Children can open this short lesson before they practice.
- 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
Add & Subtract Integers in Maine
In the Maine Learning Results, this is unit 1 of 17 in 7th grade Math, before Decimal Operations.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Maine Department of Education
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Put these integers in order from least to greatest.
- 3
- 2
- -20
- 5
- -11
-20 → -11 → 2 → 3 → 5
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 -20 < -11. The least here is -20.
Question 2
Which expression has the same value as -14 − (-6)?
- -14 + 6
- -6 − (-14)
- 14 + (-6)
- -14 + (-6)
-14 + 6
Hint: Subtracting a number is the same as adding its opposite. The opposite of -6 is 6, so -14 − (-6) = -14 + 6 = -8.
Question 3
Zoe is scuba diving at -10 m (below the surface). Zoe swims up 6 m, then down 7 m. What integer gives Zoe's new position?
answer boxm
-11 m
Hint: Up is + and down is −: -10 + 6 − 7 = -11. Work left to right.
Question 4
Start at -10 and add 12. Where do you land?
- -22
- 2
- 3
- -2
2
Hint: Adding a positive number moves right. From -10, jump 12 to the right to land on 2.
Question 5
At 6 a.m. the temperature was -9°C. By noon it had risen 17°C. What was the temperature at noon?
🌡️-9°Canswer box°C
8 °C
Hint: Rising means adding: -9 + 17 = 8. On a thermometer, count up 17 degrees from -9.
Question 6
A hiker is 100 m above sea level. A scuba diver is 5 m below sea level. How far apart are they, measured straight up and down?
answer boxm
105 m
Hint: Write them as integers: 100 and -5. The difference is 100 − (-5) = 100 + 5 = 105 m.