Embedded Files
Guiding Question: How can the infinite nature of the number line broaden the perception of number?
The Basics of Integers
The Basics of Integers
Integers include all natural numbers (1, 2, 3...) and their additive inverses (-1, -2, -3...), plus zero.
Zero is the "neutral" center—it is neither positive nor negative.
Horizontal Number Line: Negative numbers are to the left of zero.
Vertical Number Line: Negative numbers are below zero (like a thermometer).
Symmetry: The number line is symmetrical; it extends infinitely in both directions from zero.
magnitude & direction
magnitude & direction
Magnitude is simply the "distance" from zero (how many units away it is).
Symbols: Positive numbers use (+) or no sign at all; Negative numbers must have the (-) sign.
Real-Life Contexts: We use these for temperature (below zero), debt (owing money), and elevation (below sea level).
operating with integers
operating with integers
Additive Inverses: Every positive number has an opposite negative version with the same magnitude. Adding them together always equals zero (5 + (-5) = 0).
Adding Same Signs: Positive + Positive = Positive. Negative + Negative = Negative.
Subtracting: To subtract, simply add the additive inverse (e.g., 5 - 3 is the same as 5 + (-3)).
If you're confused, watch the videos below. One of them might explain it in a way that clicks for you!
Page updated
Report abuse