Topic 1 · Number & Algebra
Integers, Powers & Roots
Rational and irrational numbers, estimating roots, the index laws and fractional indices.
By the end of this topic you can…
- Tell a rational number from an irrational one
- Estimate square roots and cube roots without a calculator
- Use the index laws to simplify powers
- Evaluate fractional and negative fractional indices
Lessons
- Rational and Irrational Numbers Sorting numbers into natural, whole, integer, rational and irrational — and knowing why each one belongs where it does.
- Estimating Square Roots and Cube Roots Trapping a root between two whole numbers, then judging which one it is closer to — no calculator needed.
- Index Laws and Negative Indices The four index laws, what a negative index really means, and using the order of operations with powers.
- Fractional Indices What and mean, evaluating them without a calculator — including negative fractional indices — and solving equations with powers.
Integers, powers and roots quiz
Twelve questions drawn at random from a bank of nineteen, covering rational and irrational numbers, estimating roots, the index laws and fractional indices. No calculator.
12 questions · pass mark 70%