GCSE›AQA GCSE Maths›Mind mapsStructure and CalculationAQA GCSE Maths: Mind mapStudy pack PDFAlso for this subtopic:Revision notesFlashcardsSubtopic testCover factsOrdering numbersIntegers are whole numbers, including negatives and zero<<< less than, >>> greater than≤\leq≤ and ≥\geq≥ include equal toFurther left on a number line means smallerConvert to the same form before comparingFour operationsApply to integers, decimals and fractionsUse written methods when mental is unsafeLine up decimal points when adding decimalsShifting a digit one column left ×10Order of operationsBrackets firstThen powers, roots and reciprocalsThen × and ÷, left to rightThen + and −, left to right3+4×2=113 + 4 \times 2 = \mathbf{11}3+4×2=11, not 14Calculationnumber structure<≥BIDMASInversesAddition and subtraction undo each otherMultiplying and dividing undo each otherSquaring and square rooting undo each otherReciprocal of xxx is 1x\frac{1}{x}x1Number × its reciprocal = 1Counting and moneyProduct rule: m×nm \times nm×n combined outcomes3 starters, 4 mains → 12 mealsProfit = selling price − cost priceDebit out of account, credit inVAT is a percentage added to the priceExam tipsMisaligned decimal points is a common error−5-5−5 is smaller than −2-2−2List outcomes systematically to avoid repeats