Algebra 1 Semester Final 1

natural numbers

all positive whole numbers not including 0.

whole numbers

all positive numbers including 0.

integers

All negative or positive numbers that are not a fraction or decimal.

rational numbers

numbers that can be expressed as a ratio (a fraction or decimal). terminating or repeating numbers are..

irrational numbers

numbers that cannot be expressed as a ratio. decimals that are non-repeating and non-terminating are..

absolute value

the distance (units) between zero and the number, shown by |x|.

opposite numbers

numbers that are the same distance from zero in the opposite direction.

addends

the numbers that are being added.

sum

the answer to an addition problem.

least common denominator (LCD)

the smallest multiple shared between two or more numbers.

commutative property of addition

when adding integers, the order in which they are added does not affect the sum.

associative property of addition

when adding integers using parentheses, how they are grouped within the parentheses does not affect the sum.

identity property of addition

when you add an integer to 0, the sum is the integer that is being added to 0.

subtraction

adding the opposite.

difference

the answer to a subtraction problem.

associative property of multiplication

when using parentheses, no matter how the numbers are grouped, the product will be the same.

commutative property of multiplication

multiplying the same numbers in any order will give the same product.

identity property of multiplication

when you multiply any number with 1 it stays the same.

distributive property of multiplication

the number on the outside of the parentheses must be distributed to the functions on the inside of the parentheses.

zero property of multiplication

any number multiplied by 0 will result in a product of 0.

factor

any number that is multiplied together to give a product.

inverse

when the numerator and the denominator of a fraction are switched.

inverse property of multiplication

when a fraction is multiplied by its inverse, the product will be 1.

greatest common factor (GCF)

the largest factor that both numbers share.

improper fraction

when the denominator is smaller than the numerator.

mixed number

a whole number attached to a fraction.

base

the number that is being multiplied together a specific number of times.

exponent

tells you how many times you multiply the base by itself.

exponential form

the simplified form using exponents to express the problem.

expanded form

taking the exponential form and writing it out by factors.

multiplied form

the product of exponents.