Rational numbers Flashcards

1
Q

What are the properties of rational numbers?

A

Closure property, commutative property, associative property, distributive property

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What are rational numbers?

A

Rational numbers are numbers that can be expressed in the form p/q where q can not be 0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What is the additive identity of a rational number?

A

zero

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

What is the multiplicative identity of a rational number?

A

one

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

What is an additive inverse?

A

an additive inverse of a number is the same number with an opposite sign. they add up to zero.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

What is a reciprocal?

A

a reciprocal is the same fraction the other way around.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

a(b+c)=

A

ab+ac

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

a(b-c)

A

ab-ac

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

What is the simplified form of a rational number?

A

The simplified form of a rational number is a simple way to write the same fraction.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Are rational numbers closed under addition?

A

yes.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Are rational numbers closed under subtraction?

A

yes.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Are rational numbers closed under multiplication?

A

yes.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Are rational numbers closed under division?

A

no.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

a+b=

A

b+a

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

a-b≠

A

b-a

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

is multiplication commutative for rational numbers?

A

yes.

17
Q

is division commutative for rational numbers?

A

no.

18
Q

BODMAS=

A

brackets of division multiplication addition and subtraction

19
Q

(a+b)+c=

A

a+(b+c)

20
Q

does associative property exist for subtraction of rational numbers?

A

no.

21
Q

(a×b)×c=

A

a×(b×c)

22
Q

does associative property exist for division of rational numbers?

A

no.

23
Q

does zero have a reciprocal?

A

no. zero is its own negative.

24
Q

does -0 exist

A

no.