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Real
Number
System
The set of numbers that
we use in arithmetic is
called the set of real
numbers ().
Terminating Decimals Repeating Decimals
0.25
0.20
0.333
0.555
or 0.3
or 0.5
Real numbers
0.1010010001
4.353353335.
-3.10100100010000
Set of Real Numbers and their
relationship of each other
Real Number (R)
Irrational Number Rational Number
Fraction Integer
Whole Number
Identify the sets to which each of the following
numbers belongs by marking the appropriate boxes.
Number Integer Natural
Number
Rational
Number
Irrational
Number
Whole
Number
Real
Number
-9 Yes No Yes No No Yes
No No Yes No No Yes
5 Yes Yes Yes No Yes Yes
No No No Yes No Yes
Yes Yes Yes No Yes Yes
0 Yes No Yes No Yes Yes
Identify the sets to which each of the following
numbers belongs by marking the appropriate boxes.
Number Integer Natural
Number
Rational
Number
Irrational
Number
Whole
Number
Real
Number
2.721 No No Yes No No Yes
2 No No No Yes No Yes
Yes No Yes No No Yes
0.10100 No No No Yes No Yes
330 Yes Yes Yes No Yes Yes
1.232 No No Yes No No Yes

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Real numbers

  • 1. Real Number System The set of numbers that we use in arithmetic is called the set of real numbers ().
  • 2. Terminating Decimals Repeating Decimals 0.25 0.20 0.333 0.555 or 0.3 or 0.5
  • 5. Set of Real Numbers and their relationship of each other Real Number (R) Irrational Number Rational Number Fraction Integer Whole Number
  • 6. Identify the sets to which each of the following numbers belongs by marking the appropriate boxes. Number Integer Natural Number Rational Number Irrational Number Whole Number Real Number -9 Yes No Yes No No Yes No No Yes No No Yes 5 Yes Yes Yes No Yes Yes No No No Yes No Yes Yes Yes Yes No Yes Yes 0 Yes No Yes No Yes Yes
  • 7. Identify the sets to which each of the following numbers belongs by marking the appropriate boxes. Number Integer Natural Number Rational Number Irrational Number Whole Number Real Number 2.721 No No Yes No No Yes 2 No No No Yes No Yes Yes No Yes No No Yes 0.10100 No No No Yes No Yes 330 Yes Yes Yes No Yes Yes 1.232 No No Yes No No Yes