Real Number System Flashcards

1
Q

is made up of a set of rational and irrational numbers.

A

Real Number System

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

consists of all rational and irrational numbers

A

Real Numbers

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

It includes any number that can be written as a fraction, mixed numbers, terminating and repeating decimals, whole numbers, integers.

A

Real Numbers

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

consists of integers, terminating, and repeating decimals

A

Rational Numbers

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

It can also be expressed as a fraction.

A

Rational Numbers

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

-7, 0, 8

A

Integers

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

1.12

A

Terminating Decimal

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

3.3333

A

Repeating Decimals

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

7/8

A

Fraction

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

consist of whole numbers and negative numbers.

A

Integers

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

are all the counting numbers.

-Zero

A

Natural numbers

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

consist of numbers that are non-terminating and non-repeating decimals

A

Irrational numbers

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

cannot be express as a fraction

A

Irrational numbers

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

is a great example of an irrational number

A

Pi

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

Are all numbers Rational numbers?

A

NO

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

Are all numbers Real numbers?

A

YES

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Can a number be both rational and irrational?

A

NO

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Zero is a whole number

A

YES

19
Q

Terminating Decimal can be a fraction.

A

YES

20
Q

−5 is a rational number

A

TRUE

21
Q

√(3&8) IS RATIONAL

A

TRUE

22
Q

√16 is a natural number

A

TRUE

23
Q

-3.25 (with dash) is an integer

A

FALSE

24
Q

2.434434443… is a rational number.

A

FALSE

25
Q

Properties refer to rules that indicate a standard procedure or method to be followed.

A

Mathematical Properties

26
Q

demonstration of the truth of a statement in mathematics.

A

proof

27
Q

Properties or rules in mathematics are the result from testing the truth or validity of something by experiment or trial to establish a proof.

A

Mathematical Properties

28
Q

changing the order in which you add or multiply numbers does not change the sum or product.

A

Commutative Property

29
Q

changing the grouping of numbers when adding or multiplying does not change their sum or product.

A

Associative Property

30
Q

For any numbers a and b , a + b = b + a

A

Commutative Property of Addition - (Order)

31
Q

For any numbers a and b , a x b = b x a

A

Commutative Property of Multiplication - (Order)

32
Q

7(mn) = (7m)n

A

Associative Property of Multiplication

33
Q

(a + 3) + b = a + (3 + b)

A

Associative Property of Addition

34
Q

x + (y + z) = x + (z + y)

A

Commutative Property of Addition

35
Q

For any number a, a + 0 = a.

The sum of any number and zero is equal to that number.

A

Additive Identity Property

36
Q

For any number a, a x 1 = a.

The product of any number and one is equal to that number.

A

Multiplicative Identity Property

37
Q

For any number a, a x 0 = 0.

The product of any number and zero is equal to zero.

A

Multiplicative Property of Zero

38
Q

for every nonzero number a/b, where a, b is not equal to 0, there is exactly one b/a such that a/b x b/a=1

A

Two numbers whose product is 1 are called multiplicative inverses or reciprocals.

39
Q

Zero has no reciprocal because any number times 0 is 0.

A

Multiplicative Inverse Property

40
Q

4 × (8 × 2) = (4 × 8) × 2

A

Associative Property of Multiplication

41
Q

6 + 8 = 8 + 6

A

Commutative Property of Addition

42
Q

12 + 0 = 12

A

Additive Identity Property

43
Q

is an example that disproves a statement, or shows that it is false.

A

counterexample