Keyword | Meaning |
---|---|

= | Sign for Equal To |

> | Sign for Greater Than |

adding | See addition |

addition | Increasing the value of one number by the value of another (also add, adding) |

approximate | A value that is close to a more accurate value; normally gives the size of a number (number of digits). |

ascending | Describes the order of numbers, where numbers increase in value |

bidmas | Order of operations: Brackets; Indices; Division; Multiplication; Addition |

bodmas | See BIDMAS |

box method | A method for carring out multiplication (also Grid Method) |

brackets | Brackets (always shown in pairs, and may be shaped as (), [] or {}) are used to control the order of operation (see BIDMAS) |

calculate | Work out the answer |

cancelling | Reducing the value of both the numerator and denominator of a fraction by dividing them both by an equal amount. The value of the fraction remains the same. |

centi- | Small number prefix: 1 x 10^{-2} |

chunking | A method for carrying out a division. Long Division is a preferred method. |

coefficient | The number at the start of an algebraic term. |

commutative | An operation on two numbers, where the order of the numbers is not important to the answer |

complement | Elements that do not belong to a perticular set |

completing the square | Adding a constant term to a quadratic expression to make it a perfect square. |

compound interest | When an original amount has had interest added over one period, and the original+interest is used as the starting amount fo rthe next period. |

compound measure | A measurement that includes more than one type of unit. |

continuous | A measurement from a scale or rule, and which can deliver different degrees of accuracy. |

cube | Cubing is multiplying three instances of the number together. |

cube root | What number, when three versions of it are multiplied together, gives the number being cube rooted? |

cubing | See cube |

deci- | Small number prefix: 1 x 10^{-1} |

decimal | A number that contains a decimal point. the number consist of an integer part and a decimal part. |

decimal part | That part of a number that is less than 1 |

decimal places | The number of places after the decimal point |

decimal point | This signifies the split between the integer part and the decimal part of a number |

denominator | The number on the bottom of a fraction. The number that is doing the dividing (divisor) |

density | The amount of mass for a given volume. |

descending | Describes the order of numbers, where numbers decrease in value. |

difference | This will often mean to carry out a subtraction |

digits | Single numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) that may be part of a larger number |

discrete | Something that can be counted; such as cars, or persons. |

division | A calculation to determine how many instances of one number will go into another |

divisor | A number that is dividing into another number |

elements | In Set Theory: individual items that make up a set |

ellipses | A symbol ... (three dots) that means carry on a sequence of numbers |

equal to | Two values are the same, represented by the = sign |

equivalent fraction | A fraction that has the same value as another fraction, although the numerators and denominators will be different |

estimate | An approximate, or rough, calculation based on less accurate or simplified numbers |

estimating | A calculated approximation of an answer |

evaluate | Work out the answer. Means the same as calculate |

even numbers | Integers ending in 0, 2, , 6 or 8 |

expanding | Multiplying out the brackets in an expression, so the brackets are removed. |

expression | A set of numbers and letters which describes a situation, where the letters indicate unknown values. |

factor | An integer that will divide into another integer without leaving a remainder |

factorising | (Number) Identifying the factors of a number; (Algebra) Removing brackets from an expression by identifying common factors. |

figures | Another name for digits |

formula | A predefined method that allows calculation of an unknown variable, when other variables are known. |

fraction | A number that is divided by another number |

fraction part | The part of a Mixed Number that contains the fraction |

function | A step, or set of steps, that will perform work on a number or value. |

giga- | Large number prefix: 1 x 10^{9} |

greater than | One value is greater than the other; the greater number is on the left of the > symbol |

greater than or equal to | One value is greater than or equal to the other; the greater/equal number is on the left of the ≥ symbol |

grid method | A method used to carry out a multiplication |

gross amount | A starting amount. Normally associated with a Net Amount, which is the value of what is left after other values have been applied. |

hcf | See Highest Common Factor |

highest common factor | The highest integer that will divide INTO two other integers. The HCF is always smaller than the two integers being examined. |

identity | An expression that has the same value as another expression, although written in a different form. |

improper fraction | A fraction that consists of an Integer Part and a Fractional Part. See also Mixed Number. |

index | A small number following a given number, indicating how many instances of the number are multiplied together (also Indices) |

indices | Plural of index |

inequality | An equation that results in a set of answers, all of which may be true for that equation. |

integer | A whole number used to count objects; has no decimal or fraction part |

integer part | The whole number part of a Decimal or Fraction |

interest | An amount that increases or decreases an original amount by a percentage of the opriginal amount over a given time period. |

intersect | In Set Theory: where elements belong in both (or more) sets |

inverse | The opposite. Carrying out an inverse operation on a number will give the original number |

irrational | An irrational number cannot be written as a fraction using integers |

kilo- | Large number prefix: 1 x 10^{3} |

laws of indices | Rules about multiplying and dividing the same base number when raised to powers of that number |

lcm | See Lowest Common Multiple |

less than | One value is smaller than the other: the smaller number is on the left of the < sign |

less than or equal to | One value is smaller than or equal to the other: the smaller/equal number is on the left of the ≤ sign |

like term | A term in an expression that has the same letter and power as another term in the same expression. |

limits | The accuracy of a tolerance. |

long division | A division where the divisor consists of more than one digit |

long multiplication | A multiplication where the multiplier consists of more than one digit |

lower bound | The lowest value that a measurment may be, given a tolerance. |

lowest common multiple | The lowest multiple shared by two integers. An LCM is always greater than the two integers being compared |

mega- | Large number prefix: 1 x 10^{6} |

metric units | A measurement system for length, mass and capacity based on multiples of 10. |

micro- | Small number prefix: 1 x 10^{-6} |

milli- | Small number prefix: 1 x 10^{-3} |

minus | To take a value away from a number with another value |

mixed number | A number consisting of an Integer part and a Fraction Part |

multiplication | increasing a number by itself a set number of times (also Multiply, Times) |

multiplier | The number of times a number is added to itself |

multiplier (percentages) | A decimal number used to increase or decrease an original value by a set percentage. |

nano- | Small number prefix: 1 x 10^{-9} |

negative | A number less than zero |

negative numbers | Any number with a value of less than zero |

net amount | The amount left after other amounts have been taken from a starting amount (which is the Gross Amount) |

not equal | Two values being compared are different, represented by the ≠ sign |

number line | A line showing a range of numbers increasing or decreasing in value |

numerator | The number on top of a fraction, the number that is being divided. |

odd numbers | Integers ending in 1, 3, 5, 7 or 9 |

operation | A function that changes what a number or variable is worth, such as Adding or Subtracting. |

operators | Something that acts on a value to change it (see also Operation) |

perfect square | An expression that consists only of a squared term. |

permutations | Selection or option. |

pico- | Small Number: 1 x 10^{-12} |

place value | The value of a digit based on its position in a number |

plus | Increasing the value of a number by the value of another |

positive | A number greater than zero |

power | The index value of a number: see Square (power of 2), Cube (power of 3) of a number |

prime numbers | A number with two, and only two, factors |

principal | The original, starting, amount of money where interest is added or subtracted. |

product of the prime factors | The set of prime numbers which, when multiplied together, give the original number |

product rule | Number of permutations = n_{1}n_{2}n_{3}... |

proper fraction | A fraction where the denominator is larger than the numerator. |

rational | A rational number can be expressed as a fraction, with both numerator and denominator as integers |

rationalising the denominator | Removing a surd as the denominator in a fraction. |

reciprocal | The inverse of a number: the number is divided into 1 |

recurring decimal | The decimal part of the number repeats itself forever: this may be a single number, or a group of numbers. |

rounding | Making a number less accurate but easier to handle. Rounding takes place to a multiple of 10. |

sets | A defined list of numbers or values. In a Venn Diagram, the set will be shown as a circle enclosing the numbers or values |

sf | Short for Significant Figures |

short division | A division where the divisor consists of only one digit |

short multiplication | A multiplication where the multiplier consists of only one digit |

significant figures | The digits at the start of a number. Leading zeroes are ignored. |

simple interest | Where interest from one period is not added to the original amount when calculating the interest for the next period. |

simplest form | A fraction where the Numerator and the Denominator have no common factors |

simplifying | Changing a Fraction into its Simplest Form |

sort | To place a list of numbers in order of value: either increasing or decreasing in value. |

square | Multiply a number by itself. Shown by a small 2 following, above, the number. |

square root | What number, multiplied by itself, would give the number being square rooted? |

square term | A term (which may consist of a variable and a constant within a bracket) which is squared. |

squaring | See sequare |

standard form | A number that consists of a decimal part between 1 and 10, and a power of 10 multiplier part. |

subset | As set where all the eleemnts belong to a larger set |

substitution | Replacing variables (letters) in an expression with a known number. |

subtraction | Reduce the value of one number by the value of another (also Subtract, Subtracting, Minus) |

surd | An irrational number; normally includes a root; with the denominator as an integer |

symbol ∛ | See cube root: note the small 3 which is part of the cube root sign |

symbol < | Less Than; the value on the left is smaller than the value on the right |

symbol = | Equal To, meaning two values are the same |

symbol > | Greater Than; the value on the left is larger than the value on the right |

symbol √ | Square root: what number multiplied by itself would give the number being square rooted |

symbol ≠ | Not Equal, meaning two values are different |

symbol ≤ | Less Than or Equal To; the value on the left is smaller than or equal to the value on the right |

symbol ≥ | Greater Than or Equal To: the value on the left is greater than or equal to the value on the right |

systematic | Completing a task in an ordered manner |

take away | Same as subtract |

tera- | Large number: 1 x 10^{12} |

term | A part of an expression, separated from other parts by arithmetic operators. |

terminating decimal | A decimal number which ends after a number of digits |

tolerance | A description of how accurate a measurement may be taken. |

top-heavy | A mixed Number, where the Integer Part is multiplied by the denominator and added into the Numerator |

trial and improvement | Estimating an answer; and progressively working towards a more accurate answer |

union | In Set theory; the list f elements that come from combining two (or more) sets |

universal set | The set that contains all possible elements that describe a situation |

unlike term | When two terms are being compared, they are unlike if either the letter or power is different. |

upper bound | The highest value a measurement may be, given a tolerance. |

value added tax | Sales tax that is added, as a percentage, to an item being purchased. |

variable | A letter within an expression: the variable represents a number. |

vat | See Value Added Tax, |

venn diagrams | A diagram used to compare the members, or contents, of two data sets. |

vertex (of a graph) | The peak, or trough (or turning point) of a graph. |

whole number | Another name for an Integer. |

work out | Complete a calculation to obtain an answer |

{ } | In Set Theory: elements contained between these brackets belong to a set |

∈ | In Set Theory; a member belongs to a set |

∉ | In Set Theory; a member does not belong to a set |

√ | Sign for a square root (the number being rooted immediately follows the sign) |

≈ | Sign for approximately equal to |

≠ | Sign for Not Equal To |

≤ | Sign for Less than or Equal To |

≥ | Sign for Greater Than or Equal To |

The wtMaths App is available for the iPhone and iPad on the App Store. The app is loaded with exam-style questions: in-app purchases are required to unlock all of the questions.