Number Sets & Infinity
Mathematics · Number Representation & Place Value · conceptual
Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers
What mastery looks like
- Explain that rational numbers can be written as a fraction of two integers and have terminating or repeating decimals
- Give examples of irrational numbers and explain why their decimal expansions neither terminate nor repeat
- Appreciate that between any two numbers there are infinitely many other numbers
Check your understanding
Can Number Sets & Infinity explain that numbers like √2 and π can't be written as exact fractions — and that their decimal expansions go on forever without repeating?
Prerequisites
Required first
Unlocks (0 directly)
None.