Discrete math quiz 1

real number

a number that can be plotted on a number line

Q symbol represnt

a rational number

statement

a sentence that states a "fact" that is either true or false (not both)

Z represents what

a set of integers from - infinity to positive indinity.

natural number

a set of positive integers

integer

a whole number that is not a fraction

even

if and only if there exists an integer k such that n = 2k

odd

if and only if there exists an integer m such that n = 2m + 1

associative operations

if you have more than one multiplication or addition operation you can choose which one you want to do first.

integers are closed?

integers are closed under multiplication subtraction and addition because we cannot guarantee an integer outcome is not an integer

additive inverse of a

is -a since a+(-a) = 0

additive identity

is 0 because a E R a + 0 = a

multiplicative identity

is 1 because all real numbers equal themselves a x 1 = a

multiplicative inverse

is 1/a because a x 1/a = 1

commutative operation

multiplication and addition which means you can change the order

N represents what

natural numbers

rational number

rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

real numbers are closed?

real numbers ate closed under multiplication addition and subtraction because you cant divide by 0 and square root is imaginary

R Represents what?

the set of real numbers anything on a number line including fractions decimals and radicals.