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Real Number Classification

Mathematics35 CardsCreated 4 months ago

A deck of flashcards for classifying real numbers into whole, natural, integer, rational, and irrational categories.

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1.3456387...

1.3456387... is IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating.

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Key Terms

Term
Definition

1.3456387...

1.3456387... is IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating.

1/3

1/3 RATIONAL NUMBER because it is a fraction without a denominator of zero.

0

0 is a WHOLE NUMBER

-5

-5 is an INTEGER because it is the opposite of a whole number

500

500 is a NATURAL NUMBER because it is a counting number

29

29 is a NATURAL NUMBER because it is a counting number

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Real Number Classification
TermDefinition

1.3456387...

1.3456387... is IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating.

1/3

1/3 RATIONAL NUMBER because it is a fraction without a denominator of zero.

0

0 is a WHOLE NUMBER

-5

-5 is an INTEGER because it is the opposite of a whole number

500

500 is a NATURAL NUMBER because it is a counting number

29

29 is a NATURAL NUMBER because it is a counting number

8,760

8,760 is a NATURAL NUMBER because it is a counting number

1/6

1/6 is a RATIONAL NUMBER because it is a fraction without a denominator of zero.

PI

Pi is an IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating than cannot be expressed as a fraction.

THE SQUARE ROOT OF 2

THE SQUARE ROOT OF 2 is IRRATIONAL NUMBER because it's decimal value is non-repeating and non-terminating that cannot be expressed as a fraction.

1.33333...

1.33333.... is a RATIONAL NUMBER because it is repeating decimal that can be expressed as a fraction without a denominator of zero.

1/8

1/8 is a RATIONAL NUMBER because it is fraction without a denominator of zero.

-1/2

-1/2 is a RATIONAL NUMBER because it is a fraction without a denominator of zero.

-1.5


-1.5 is a RATIONAL NUMBER because it is a terminating decimal that can be expressed as a fraction without a denominator of zero.

-1.3333...

-1.3333.... is a RATIONAL NUMBER because it is a repeating decimal that can be expressed as a fraction without a denominator or zero.

-0.37489289...

-0.37489289... is an IRRATIONAL NUMBER because it is a non-repeating and non-terminating decimal that cannot be expressed as fraction.

THE SQUARE ROOT OF 1/9

THE SQUARE ROOT OF 1/9 is a RATIONAL NUMBER because it's value is 1/3 which is a fraction without a denominator of zero.

-3

-3 is an INTEGER because it is the opposite of a whole number

-21,000

-21,000 is an INTEGER because it is the opposite of a whole number

5/8

5/8 is a RATIONAL NUMBER because it is a fraction without a denominator of zero.

9/10

9/10 is a RATIONAL NUMBER because it is a fraction without a denominator of zero.

THE SQUARE ROOT OF 19

THE SQUARE ROOT OF 19 is an IRRATIONAL NUMBER because it's decimal value is non-terminating and non-repeating that cannot be expressed as fraction.

THE SQUARE ROOT OF 3

THE SQUARE ROOT OF 3 is an IRRATIONAL NUMBER because it's decimal value is non-terminating and non-repeating that cannot be expressed as fraction.

0.4

0.4 is a RATIONAL NUMBER because it is a terminating decimal that can be written as a fraction.

7.12121212...

7.12121212... is a RATIONAL NUMBER because it is a repeating decimal that can be written as a fraction.

THE SQUARE ROOT OF 9

THE SQUARE ROOT OF 9 is a RATIONAL NUMBER because it has a value of 3.

5/0

5/0 is an IRRATIONAL NUMBER because it is a fraction with a denominator of zero.

9/0

9/0 is an IRRATIONAL NUMBER because it is a fraction with a denominator of zero.

6/0

6/0 is an IRRATIONAL NUMBER because it is a fraction with a denominator of zero.

THE SQUARE ROOT OF 15

THE SQUARE ROOT OF 15 is an IRRATIONAL NUMBER because it is not a perfect square. The decimal value does not repeat and is non-terminating.

THE SQUARE ROOT OF 122

THE SQUARE ROOT OF 122 is an IRRATIONAL NUMBER because it is not a perfect square. The decimal value does not repeat and is non-terminating.

THE SQUARE ROOT OF 5

THE SQUARE ROOT OF 5 is an IRRATIONAL NUMBER because it is not a perfect square. The decimal value does not repeat and is non-terminating.

THE SQUARE ROOT OF 20


THE SQUARE ROOT OF 20 is an IRRATIONAL NUMBER because it is not a perfect square. The decimal value does not repeat and is non-terminating.

22/7

22/7 is a RATIONAL NUMBER because it is a fraction without a denominator of zero. (Beware...this is an estimate for PI and not really equal to Pi.)

3.14

3.14 is a RATIONAL NUMBER because it is a fraction without a denominator of zero. (Beware...this is an estimate for PI and not really equal to Pi.)