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Chapter overview
Real numbers, irrational numbers, decimal expansions, and representation on the number line.
Practice ready
6895 MCQs and 5802 written prompts are ready for focused chapter work.
Topics
6
Recall
18
Cards
24
Topic 1
A rational number has the form p over q, but an irrational number does not.
Topic 2
Classify rational and irrational numbers and connect them to decimal expansions.
Topic 3
Represent simple irrational numbers geometrically on the number line.
Topic 4
On a number line, the right side shows greater values.
Topic 5
For the same base, multiply by adding exponents and divide by subtracting exponents.
Topic 6
Use exponent laws with real numbers and simplify expressions.
Chapter pack
Topic list
Topic 1
Rational numbers can be written as p over q with q not zero, while irrational numbers cannot be written in that tion/form. Together they form the real number system used for comparison, ordering, and operations.
Topic 1
Classify rational and irrational numbers and connect them to decimal expansions.
Topic 2
Represent simple irrational numbers geometrically on the number line.
Topic 2
Real numbers are represented as points on the number line. Ordering depends on position: values farther right are greater, and values farther left are smaller.
Topic 3
Indices show repeated multiplication, and exponent laws help simplify expressions efficiently when the form matches the rule.
Topic 3
Use exponent laws with real numbers and simplify expressions.
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