Chapter 1
Number Systems
Rational and irrational numbers, decimals and the real number line.
Start with: Natural, Whole, Integers and Rational NumbersTopics in this chapter
- 1
Natural, Whole, Integers and Rational NumbersEach new family of numbers answers a question the old one could not, and every family lives inside the next: N ⊂ W ⊂ Z ⊂ Q. Watch - 2
Rational Numbers on the Number LineTo place p/q, cut each unit into q equal parts and count p parts from 0: right for positive, left for negative. Watch - 3
Equivalent Fractions and Comparing Rational Numbers1 slice of 2 or 4 slices of 8: who ate more pizza? Learn equivalent fractions, the LCM trick for comparing, and why −3/4 > −5/6. Watch - 4
Terminating and Recurring Decimals1/4 = 0.25 stops, but 1/3 = 0.333… never does. The remainders of long division decide: a remainder of 0 stops it, a returning remainder makes it repeat. Watch
More topics for this chapter are on the way.