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6 Cards in this Set

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BIDMAS

Bracket Indices Division Multiplication Addition Subtraction

Order of calculation

Integers, Rational/Irrational Numbers, Square, Cubes and prime numbers

Integers: WHOLE NUMBER


Rational numbers: CAN BE WRITTEN AS FRACTIONS


Irrational numbers: NEVER ENDING


Squares: PRODUCT OF A NUMBER MULTIPLIED BY ITSELF


Cubes: MULTIPLY TWICE BY ITSELF


Prime numbers: CAN ON BE DIVIDING BY 1 AND ITSELF

Give definitions

Multiples, Factors and Prime factors

Multiples: Just the time tables


Factors: all the numbers which divide into it, e.g. find all factors of 24:


→1 × 24


→2 × 12


→3 × 8


→4 × 6


So the factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24


Prime factors: the factor tree

LCM and HCF

'Lowest common multiple' is the smallest number that will divide by all the numbers in the question. E.g. find the lowest common multiple (LCM) of 12 and 15.


12= 12, 24, 36, 48, 60, 72...


15= 15, 30, 45, 60, 75...


So the LCM of 12 and 15 is 60



'Highest common factor' is the biggest number that will divide into all the numbers in the question. E.g. find the HCF of 36, 54 and 72.


After doing the factor tree do find the factors, list them:


36= 1, 2, 3, 4, 5, 6, 9, 12, 18, 36


54= 1, 2, 3, 6, 9, 18, 27, 54


72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24


So the HCF of 36, 54 and 72 is 18

Fractions

1) Simplifying- divide top and bottom by the same number, till they won't go further


2) Mixed numbers- 4 (2/3)→14/3


3) Multiplying- first cancel down, then multiply across, top and bottom: 2/3 × 1/3 → 2×1/3×3 = 2/9


4) Dividing- flip the second fraction then simply multiply


5) Common denominators- find the LCM of the denominators


6) Adding, Subtracting- make sure denominators are the same then do the action

Fraction→Decimal→Percentage

Fraction→Decimal (Divide the fraction, 7/20 is 7÷20)


Decimal→Percentage (× by 100)


Percentage→Decimal (÷ by 100)


Decimal→Fraction:


1) terminating decimals: n/10


2) recurring decimals...