Integers
Work with positive and negative whole numbers
What are Integers?
Integers are whole numbers that include positive numbers, negative numbers, and zero. They are written as: ... -3, -2, -1, 0, 1, 2, 3 ...
Example
Real-World Examples
Temperature: -5°C means 5 degrees below zero.
Money: Owing R20 can be written as -R20.
Elevation: 100m above sea level is +100m; 50m below is -50m.
The Number Line
We can show integers on a number line. Zero is in the middle. Positive numbers go to the right. Negative numbers go to the left. Numbers further from zero are larger (for positives) or smaller (for negatives).
Note
Adding and Subtracting Integers
Adding a positive number: move right on the number line.
Adding a negative number: move left.
Subtracting a positive: move left.
Subtracting a negative: move right (two negatives make a positive!).
Example
Practice Examples
5 + (-3) = 2 (start at 5, move 3 left)
-4 + 7 = 3 (start at -4, move 7 right)
-2 - 5 = -7 (start at -2, move 5 left)
3 - (-4) = 7 (start at 3, move 4 right)
Key Vocabulary
IntegerA whole number that can be positive, negative, or zero
PositiveGreater than zero
NegativeLess than zero
Number lineA line showing numbers in order
Absolute valueHow far a number is from zero
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Integer
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