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GCF

Greatest Common Factor

number line

a diagram that represents numbers as points on a line.

origin

The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)

binary operation

an operation performed on a set that produces a result that is also a part of that set

a set

a group of numbers

Natural numbers

A group of numbers that include 1,2, 3,.....

integers numbers

positive and negative numbers that do not include fractions or decimals

Rational numbers

Numbers that include integers, wholes, and natural numbers.

Irrational Numbers

any number that cannot be expressed as a fraction.

real numbers

Any Number

four main operations

addition, subtraction, multiplication and division

Addition

to join two or more quantities

Subtraction

to take a quantity away from another

Multiplication

process of repeated addition

long multiplication

the multiplication of larger numbers

Division

process of breaking a quantity into equal parts

long division

a special procedure to divide larger numbers

Dividend

the number that is being divided

divisor

the number that divides another number.

process of adding integers

If the signs of the values are the same, you will add the two values. If the signs of the values are different, subtract the two values. You will always keep the sign of the largest value.

process of subtracting integers

first change the problem by changing the operation to addition and the sign of the last number to its opposite.

three basic principles

the commutative property

Commutative Property

3 + 2 = 2 + 3

Associative Property

(1 + 2) + 3 = 1 + (2 + 3)

multiplication property

the product of any number and zero is zero

factors

the numbers being multiplied

LCM

Least Common Multiple

least common multiple

The smallest multiple (other than zero) that two or more numbers have in common.

Equation

A mathematical sentence that contains an equals sign

variables

the letters in your equation

coefficients

the numbers directly in front of your variables

terms

A number, a variable, or the product of a number and a variable

constants

terms that are just numbers

cartesian plane

the x/y plane

x-intercept

the point where the line crosses the x-axis

y-intercept

the point where the line crosses the y-axis

x-coordinates

the coordinates that go from left to right

x-axis

The horizontal axis on a coordinate plane.

y-axis

The vertical axis on a coordinate plane.

y-coordinates

the coordinates that go up and down

quadrants

Four regions into which a coordinate plane is divided by the x-axis and the y-axis

ordered pair

A pair of numbers that can be used to locate a point on a coordinate plane.

order of operations

The rules for calculating a maths question containing mixed operations, such as 14 - 2 x 4 + 12

Whole Numbers

Zero and the counting numbers 1, 2, 3, 4, 5, 6, and so on. If a number has a negative sign, a decimal point, or a part that's a fraction, it is NOT a whole number.

Open sentence

An equation or an inequality that contains an algebraic expression

Variable

an alphabetic character representing a number, called the value, which is either arbitrary or not fully specified or unknown. It is usually a letter like x or y.

solution of an equation or inequality

A number that produces a true statement when substituted for the variable in an equation or inequality

rate

* multiplication

algebraic expression

An expression consisting of one or more numbers and variables along with one or more arithmetic operations

inequality

A mathematical sentence that shows the relationship between quantities that are not equivalent

unit rate

A rate with the denominator of 1.

power

a number produced by raising a base to an exponent

verbal model

Describes a real-world situation using words as labels and using math symbols to relate the words

Formula

An equation that relates two or more quantities

inclusion symbols

Symbols like parentheses, ( ), brackets, [ ], braces, { }, and the fraction bar, /, are called this _______________________.

exponent

A mathematical notation indicating the number of times a quantity is multiplied by itself

Base

the number that is written with an exponent

b ≥ 50

b is at least 50

b ≤ 50

b is at most 50

difference

the answer to a subtraction problem

sum

the answer to an addition problem

product

the answer to a multiplication problem

quotient

the answer to a division problem