GACE math (from quizlet)

rational number

A number that can be written as a fraction

Rational numbers are

natural numbers , whole numbers and integers (-1,-2,1,3,0), mixed numbers

Natural Numbers

The set of numbers 1, 2, 3, 4, … Also called counting numbers.

whole numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3…

Intergers

The set of whole numbers and their opposites

irrational numbers

Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating.

Irrational numbers are

Non-perfect squares, numbers with Pi, numbers that have a decimal going on forever and never repeating

magnitude

Greatness of size, strength, or importance

less than or equal to

comparison can be less than or equal to

greater than or equal to

a value that is "at least" as big as another value

has a closed circle

comparing negative numbers

left is less

right is greater

comparing decimals

Line up the numbers and fill in the missing zeros

Counting by ones

basic form of counting 1,2,3,4,5

skip counting

counting by twos, threes, counting only even or odd numbers, or counting by other multiples

counting on

Counting up from the lesser number to the greater number to find the difference of two numbers.

counting backwards

A math strategy that is a prerequisite to subtraction

counting collections

a collections of various objects that student can count to help develop numb sense and number relations

number line

A diagram that represents numbers as points on a line.

absolute value

The distance a number is from zero on a number line. ALWAYS POSITIVE

Cardinality

the number of elements in a set

Multiplicative Identity

When any number is multiplied by 1, the product is the number

Associative Property

The way in which numbers are grouped does not change their sum or product (a x b) x c = a x (b xc)

Communicative Property

Numbers can be added or multiplied in any order. That is: Commutative Property of Addition and multiplication it states that changing the order of addends does not change the sum or product.

Distrubutive Property

a(b+c)= ab+ac, where a,b, and c are real numbers