Topic 14 · Number & Algebra

Decimals & Percentages

Estimation, multiplying and dividing decimals, compound percentage change, reverse percentages and percentage error.

Not started 4 lessons about 105 min

By the end of this topic you can…

  • Estimate the answer to a calculation by rounding
  • Multiply and divide decimals without a calculator
  • Calculate repeated (compound) percentage change
  • Find an original amount using reverse percentages
  • Calculate a percentage error

Lessons

  1. Estimating Calculations Rounding every number to one significant figure to get a quick estimate — and using it to catch wrong answers. 20 min
  2. Multiplying and Dividing Decimals Knowing whether an answer will be bigger or smaller, multiplying decimals without a calculator, and dividing by making the divisor a whole number. 25 min
  3. Percentage Change and Compound Interest Using multipliers for percentage increases and decreases, simple versus compound interest, and repeated percentage change. 30 min
  4. Reverse Percentages and Percentage Error Finding the original amount after a percentage change, reversing repeated changes, and measuring how far an estimate or measurement is from the true value. 30 min

Decimals and percentages quiz

Twelve questions drawn at random from a bank of eighteen, covering estimation, decimal calculations, percentage change, reverse percentages and percentage error.

12 questions · pass mark 70%

Take the quiz