Rational numbers Flashcards
(24 cards)
What are the properties of rational numbers?
Closure property, commutative property, associative property, distributive property
What are rational numbers?
Rational numbers are numbers that can be expressed in the form p/q where q can not be 0
What is the additive identity of a rational number?
zero
What is the multiplicative identity of a rational number?
one
What is an additive inverse?
an additive inverse of a number is the same number with an opposite sign. they add up to zero.
What is a reciprocal?
a reciprocal is the same fraction the other way around.
a(b+c)=
ab+ac
a(b-c)
ab-ac
What is the simplified form of a rational number?
The simplified form of a rational number is a simple way to write the same fraction.
Are rational numbers closed under addition?
yes.
Are rational numbers closed under subtraction?
yes.
Are rational numbers closed under multiplication?
yes.
Are rational numbers closed under division?
no.
a+b=
b+a
a-b≠
b-a
is multiplication commutative for rational numbers?
yes.
is division commutative for rational numbers?
no.
BODMAS=
brackets of division multiplication addition and subtraction
(a+b)+c=
a+(b+c)
does associative property exist for subtraction of rational numbers?
no.
(a×b)×c=
a×(b×c)
does associative property exist for division of rational numbers?
no.
does zero have a reciprocal?
no. zero is its own negative.
does -0 exist
no.
