Rational numbers

Depths of understanding

1. 1

   Foundation

   You can write, compare and calculate with fractions and know every terminating or repeating decimal is rational.

   • Watch · 35 sEvery division

   • Read itThe Number FamilyNumbers Level 1: What Is a Number?

   Opens after

   FractionsThe rational numbers are all the numbers that can be written as a fraction.IntegersA rational number is a ratio of two integers.
2. 2

   Deeper

   You know the rationals are dense yet full of holes - and that the reals are exactly what fills them.

   Master depth 1 first

   Real numbersSeeing the reals shows what the rationals are missing - points like √2 that no fraction can ever reach.

Your path here

What's still between you and Rational numbers, depth 1, in the order you can learn it.

1. 1CountingDepth 1 · Foundation · Number Systems
2. 2Natural numbersDepth 1 · Foundation · Number Systems
3. 3ZeroDepth 1 · Foundation · Number Systems
4. 4The number lineDepth 1 · Foundation · Number Systems
5. 5AdditionDepth 1 · Foundation · Arithmetic
6. 6MultiplicationDepth 1 · Foundation · Arithmetic
7. 7NumeralsDepth 1 · Foundation · Number Systems
8. 8Place valueDepth 1 · Foundation · Number Systems
9. 9Comparing numbersDepth 1 · Foundation · Number Systems
10. 10IntegersDepth 1 · Foundation · Number Systems
11. 11SubtractionDepth 1 · Foundation · Arithmetic
12. 12DivisionDepth 1 · Foundation · Arithmetic
13. 13FractionsDepth 1 · Foundation · Fractions
14. 14Rational numbersDepth 1 · Foundation · Number Systems