Advanced Algebra 1 Quiz

Natural Numbers

Counting numbers

Whole Numbers

Counting numbers + 0

Integer

Whole numbers + negative

Rational Numbers

Any number that can be written as a terminating/repeating decimal, ratio, or fraction ( a\b where a and b are integers

Irrational Numbers

Any numbers that are non-terminating/repeating decimals, ratios, and fractions that cannot be written as a ratio or square root

Closure property

If there is an assigned value that number can equal nothing else

Commutative Property (of addition and multiplication)

A problem can still have the same result even if you move around the placement/order of it

Associative Property (of addition and multiplication)

A problem can still have the same result even if you move what’s inside the parentheses versus outside it

Identity property of addition

You can add 0 to any number but it will still have the same value

Identity Property of multiplication

You can multiply any number times 1 and that number will still have the same value

Additive Inverse

Anything plus it’s negative opposite will equal zero

Multiplicative Inverse

Anything times its reciprocal is equal to 1 (except zero)

Distributive Property (of multiplication with respect to addition)

When multiplying fractions the numbers outside the parentheses is multiplied with every number inside the parentheses

Word problems

• rewrite words with numbers and symbols

• use parentheses

• sum = addition

• difference = subtraction

• product = multiplication

• Quotient = dividing

• Increased = addition

• Decreased = subtraction

• Is = equal

• And = adddition

• Less than = add (in order)

• More than = subtract (in order)