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# Real Number System

### Practice Categorizing Real Numbers as Rational or Irrational.

ValueCategory
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.)
Created by: mrskatrinahall