Unit 1, Lesson 1 - Real Number System & Radicals Flashcards

1
Q

Natural numbers

A

1, 2, 3, 4, 5, 6, etc.

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2
Q

Whole numbers

A

0, 1, 2, 3, 4, 5, 6, etc.

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3
Q

Are all Integers Natural Numbers?

A

No

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4
Q

Are all Natural Numbers Integers?

A

Yes

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5
Q

Venn Diagram

A

Rational
Integers
Whole
Natural

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6
Q

Rational Numbers

A

Can be written as a fraction.

Can’t be 0.

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7
Q

Is 3 a Rational Number?

A

Yes, because it can be a fraction.

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8
Q

Are all Whole Numbers Rational Numbers?

A

Yes

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9
Q

Are all Rational Numbers Integers?

A

No

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10
Q

Irrational Numbers

A
π = 3.14...
√2 = 1.414213562...
√7 = 2.645751311...
√11 = 3.31662479...
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11
Q

For the following numbers, list to which real number sets they belong to.
√21

A

Irrational

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12
Q

For the following numbers, list to which real number sets they belong to.
√49

A

Natural, whole, integer, rational

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13
Q

For the following numbers, list to which real number sets they belong to.
0

A

Whole, integer, rational

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14
Q

For the following numbers, list to which real numbers sets they belong to.
-3

A

Integer, rational

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15
Q

Determine the most restrictive category (natural, whole, integer, rational, irrational) that each of the following real numbers belong to.
π

A

Irrational

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16
Q

Determine the most restrictive category (natural, whole, integer, rational, irrational) that each of the following real numbers belong to.
√25

A

Natural

17
Q

Determine the most restrictive category (natural, whole, integer, rational, irrational) that each of the following real numbers belong to.
0

A

Whole

18
Q

Determine the most restrictive category (natural, whole, integer, rational, irrational) that each of the following real numbers belong to.
-7

A

Integer

19
Q

Determine the most restrictive category (natural, whole, integer, rational, irrational) that each of the following real numbers belong to.
5/8

A

Rational

20
Q

Determine the most restrictive category (natural, whole, integer, rational, irrational) that each of the following real numbers belong to.
-2.13737…

A

Rational

21
Q

Determine the most restrictive category (natural, whole, integer, rational, irrational) that each of the following real numbers belong to.
3.815271834…

A

Irrational