Real Number System Flashcards

(43 cards)

1
Q

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

A

Real Number System

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2
Q

consists of all rational and irrational numbers

A

Real Numbers

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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

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4
Q

consists of integers, terminating, and repeating decimals

A

Rational Numbers

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5
Q

It can also be expressed as a fraction.

A

Rational Numbers

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6
Q

-7, 0, 8

A

Integers

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7
Q

1.12

A

Terminating Decimal

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8
Q

3.3333

A

Repeating Decimals

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9
Q

7/8

A

Fraction

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10
Q

consist of whole numbers and negative numbers.

A

Integers

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11
Q

are all the counting numbers.

-Zero

A

Natural numbers

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12
Q

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

A

Irrational numbers

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13
Q

cannot be express as a fraction

A

Irrational numbers

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14
Q

is a great example of an irrational number

A

Pi

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15
Q

Are all numbers Rational numbers?

A

NO

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16
Q

Are all numbers Real numbers?

A

YES

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17
Q

Can a number be both rational and irrational?

A

NO

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18
Q

Zero is a whole number

19
Q

Terminating Decimal can be a fraction.

20
Q

−5 is a rational number

21
Q

√(3&8) IS RATIONAL

22
Q

√16 is a natural number

23
Q

-3.25 (with dash) is an integer

24
Q

2.434434443… is a rational number.

25
Properties refer to rules that indicate a standard procedure or method to be followed.
Mathematical Properties
26
demonstration of the truth of a statement in mathematics.
proof
27
Properties or rules in mathematics are the result from testing the truth or validity of something by experiment or trial to establish a proof.
Mathematical Properties
28
changing the order in which you add or multiply numbers does not change the sum or product.
Commutative Property
29
changing the grouping of numbers when adding or multiplying does not change their sum or product.
Associative Property
30
For any numbers a and b , a + b = b + a
Commutative Property of Addition - (Order)
31
For any numbers a and b , a x b = b x a
Commutative Property of Multiplication - (Order)
32
7(mn) = (7m)n
Associative Property of Multiplication
33
(a + 3) + b = a + (3 + b)
Associative Property of Addition
34
x + (y + z) = x + (z + y)
Commutative Property of Addition
35
For any number a, a + 0 = a. | The sum of any number and zero is equal to that number.
Additive Identity Property
36
For any number a, a x 1 = a. | The product of any number and one is equal to that number.
Multiplicative Identity Property
37
For any number a, a x 0 = 0. | The product of any number and zero is equal to zero.
Multiplicative Property of Zero
38
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
Two numbers whose product is 1 are called multiplicative inverses or reciprocals.
39
Zero has no reciprocal because any number times 0 is 0.
Multiplicative Inverse Property
40
4 × (8 × 2) = (4 × 8) × 2
Associative Property of Multiplication
41
6 + 8 = 8 + 6
Commutative Property of Addition
42
12 + 0 = 12
Additive Identity Property
43
is an example that disproves a statement, or shows that it is false.
counterexample