Integers are whole numbers that can be positive, negative, or zero.

Integers do NOT include:
❌ decimals (like 2.5, -0.7)
❌ fractions (like ½, -3/4)

🔢 Types of Integers
1) Positive Integers

These are numbers greater than 0:
1, 2, 3, 4, 5, …

Example:
+8 means you have 8 dollars.

2) Negative Integers

These are numbers less than 0:
-1, -2, -3, -4, -5, …

Example:
-8 means you owe 8 dollars or you are 8 below zero.

3) Zero

0 is an integer too!
It is the number in the middle of positive and negative numbers.

📍 Integers on a Number Line

Integers can be shown on a number line:

Numbers to the right of 0 are positive

Numbers to the left of 0 are negative

Example:
… -3, -2, -1, 0, 1, 2, 3 …

➕➖ Integer Operations (How They Work)
Adding Integers

✅ Same signs → add, keep the sign

5 + 3 = 8

(-5) + (-3) = -8

✅ Different signs → subtract, keep the sign of the bigger number

7 + (-2) = 5

(-9) + 4 = -5

Subtracting Integers

Subtracting is the same as adding the opposite:

Example:

6 − 2 = 4

6 − (-2) = 6 + 2 = 8

(-6) − 2 = -8

(-6) − (-2) = -6 + 2 = -4

Multiplying & Dividing Integers

✅ Same signs → positive

(-4)(-3) = 12

4 ÷ 2 = 2

✅ Different signs → negative

(-4)(3) = -12

12 ÷ (-3) = -4

🌎 Real-Life Examples of Integers

Integers are used all the time:

📌 Temperature

10°C (positive)

-5°C (negative)

📌 Money

$20 = you have money

-$20 = you owe money

📌 Elevation

200 feet above sea level

-50 feet below sea level

📌 Sports

+3 points gained

-3 points lost