Level 4 · Mathematics M4.1

Powers, roots, surds and standard form

Use the laws of powers, work with roots and surds, and write huge and tiny numbers in standard form.

Learn the laws of powers, then zero, negative and fractional powers. Write very big and very small numbers in standard form, tell rational numbers from irrational ones, simplify surds and find the bounds of a rounded number.

Start readingM4.1.1 Laws of powers

8 chapters. Your place is kept on this device only.

You are ready for this book if

You can work out 2⁵ and the square root of 144.

Contents

  1. 1Laws of powers, readunderstood
  2. 2Zero and negative powers, readunderstood
  3. 3Roots and fractional powers, readunderstood
  4. 4Standard form, readunderstood
  5. 5Calculating in standard form, readunderstood
  6. 6Rational and irrational numbers, readunderstood
  7. 7Surds, readunderstood
  8. 8Accuracy and bounds, readunderstood

Keep it, print it, pass it on

For parents and teachers

For learners who can work out powers such as 2⁵, find square roots, and use a letter for a number. In many schools this fits teenagers of about 14 to 16, and adults who want to refresh powers, roots and standard form can start here too. Each chapter takes one or two sessions. A learner can work alone: every exercise has its answer and the reason for it.

Strand: Number. Written and drawn by attnom. Free to read, print and share.