the rule that tells us the sequence in which we should solve an expression with multiple operations
Order of operations
Describes two operations that are equally as important, i.e. can be done in any order
Equal Priority
An index, or power, is the small floating number that appears after a number or letter. Indices show how many times a number or letter has been multiplied by itself.
Indices
refers to the distance of a number from the origin of a number line
Absolute Value
An operation reverses a calculation that has been completed by using the opposite operation
Inverse
means changing the sign of the number and adding it to the original number to get an answer equal to 0.
Additive inverses
when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor
Scale Factor
To get this we divide 1 by the number.
Reciprocal
are factors of a number that are, themselves, prime numbers. We can find these by creating factor trees
Prime Factor
is the greatest number which divides each of the two or more numbers
Highest Common Factor
A common multiple is a number that is a shared
multiple of two or more numbers. The
lowest common multiple (LCM)
is found by listing the multiples of each number and circling any common multiples. The lowest one is the lowest common multiple.
Lowest Common Multiple
Any number below zero is a negative number, negative numbers are always written with a - in front of them
Negative Numbers
indicates the amount of a variable. No coefficient means that there is just 1
Coefficient
- is a combination of numbers, variables, functions
Expression
a mathematical statement that shows that two mathematical expressions are equal.
Equation
means a mathematical expression in which the sides are not equal to each other.
Inequality
Multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
Distributivity
refers to the process of simplifying an expression or equation by multiplying out brackets
Expanding
the reverse process of expanding brackets. To factorise an expression fully, means to put it in brackets by taking out the highest common factors
Factorising
an equation in which the highest power of the variable is always 1.