Unit 1 · Topic 1

Adding & Subtracting Integers

Overview

Use the number line and two key rules to combine positive and negative numbers.

Topic 1 of 3~57 min
Unit overview

The lesson

This lesson teaches Adding & Subtracting Integers. Read each section in order, work through every example on paper, then use the practice problems and quick check at the bottom.

Think of it as moving on a number line

Adding a positive number moves you right; adding a negative number moves you left. Subtracting flips the direction.

When you study think of it as moving on a number line, slow down and write one example in your notebook without looking at the screen. That active step is what turns reading into learning.

Two rules that make everything easier

When you study two rules that make everything easier, slow down and write one example in your notebook without looking at the screen. That active step is what turns reading into learning.

  1. 1Adding a negative is the same as subtracting a positive: 5 + (-3) = 5 - 3 = 2.
  2. 2Subtracting a negative is the same as adding a positive: 5 - (-3) = 5 + 3 = 8.
Worked example

Simplify -4 + 9 - (-2).

  1. 1Rewrite the double negative: -4 + 9 + 2.
  2. 2Combine left to right: -4 + 9 = 5.
  3. 3Then 5 + 2 = 7.

Why this matters

Adding & Subtracting Integers shows up constantly in use the number line and two key rules to combine positive and negative numbers. It also connects to what you will see on homework, quizzes, and the next unit in this grade.

Teachers often move fast in class. This page is here so you can pause, re-read, and practice until the idea feels familiar, not just until you have memorized a rule for one day.

Common mistakes to avoid

Rushing to the answer without writing steps. Middle-school math rewards clear work, and you catch errors earlier when steps are visible.

Mixing up similar ideas from the same topic. If two terms feel alike, make a two-column note: what is the same, what is different, and one example of each.

Key ideas from this lesson

  1. Think of it as moving on a number line
  2. Two rules that make everything easier
  3. Adding a negative is the same as subtracting a positive: 5 + (-3) = 5 - 3 = 2.
  4. Subtracting a negative is the same as adding a positive: 5 - (-3) = 5 + 3 = 8.

Video walkthrough

Math Antics

Adding & Subtracting Integers

Two simple rules plus a number-line strategy for every case.

Watch on YouTube
Math Antics

Negative Numbers

What negative numbers are and how to compare them.

Watch on YouTube

Practice

For each problem: write your work in the box, type your answer, and check it. If you are stuck, reveal the solution one step at a time. Do not skip straight to the final answer.

Exercise 1

Try it yourself

Evaluate: -9 + 14.

Step-by-step solution

  1. 1|−9| = 9 and |14| = 14.
  2. 214 − 9 = 5.
  3. 3The larger magnitude is positive, so the answer is 5.

Exercise 2

Try it yourself

Simplify: 7 − (−4).

Step-by-step solution

  1. 1Subtracting a negative is adding a positive.
  2. 27 + 4 = 11.

Exercise 3

Try it yourself

Evaluate: -12 + 5 − 3.

Step-by-step solution

  1. 1Combine left to right: -12 + 5 = -7.
  2. 2-7 − 3 = -10.

Exercise 4

Try it yourself

The temperature was −6°C in the morning and rose 11°C by noon. What is the noon temperature?

Step-by-step solution

  1. 1Rising means add: -6 + 11.
  2. 2Different signs: 11 − 6 = 5.
  3. 3The result is positive: 5°C.

Exercise 5

Try it yourself

Simplify: -3 + (−8) − (−2).

Step-by-step solution

  1. 1Rewrite: -3 + (-8) + 2.
  2. 2-3 + (-8) = -11.
  3. 3-11 + 2 = -9.

Quick check

Answer all questions. Retake the quiz until you feel confident before moving on.

Adding & Subtracting Integers

Question 1 of 5

Easy

What is -7 + 3?

1-on-1 tutoring

Stuck on something specific?

Adam & Alan can walk through it live. Your first session is free for new clients.

Book a tutoring session