Integers & Rational Numbers
Every lesson explains the concept, works through examples, and gives you practice problems with full solutions. Work through them in order, or jump to the topic you need.
7 lessons
- What Are Integers? Positive and Negative NumbersWhat negative numbers mean, how opposites work, where integers sit on the number line, and why zero needs no sign of its own.
- Comparing and Ordering IntegersHow to compare negative numbers using the number line, what the inequality signs really say about position, and how to order a mixed list of integers and decimals.
- Absolute Value: Distance from ZeroWhat absolute value means, why it is never negative, how it differs from a statement about order, and how to use it to find the distance between two numbers.
- The Coordinate Plane: Plotting Points in Four QuadrantsHow to plot and read ordered pairs in all four quadrants, what the signs tell you about which quadrant a point is in, and how to find the distance between two points.
- Adding and Subtracting IntegersHow to add and subtract negative numbers using the number line, why subtracting is the same as adding the opposite, and how to handle two signs in a row.
- Multiplying and Dividing Integers: The Sign RulesThe sign rules for multiplying and dividing negatives, why two negatives make a positive, and how to handle several negative factors at once.
- Operations with Rational NumbersHow to combine negative fractions and decimals across all four operations, why the integer sign rules carry over unchanged, and how to work multi-step problems in order.