Make a table with columns for rational numbers, irrational numbers and real numbers and write the following numbers in their proper places in the table.
(1)
(2) ![]()
(3) 4.10547194… (4) 4.8
(5)
(6) ![]()
(7)
(8) ![]()
(9) 3.819023… (10) 6.10203040
Real Numbers:
If a number found to be any of the following number, then that number is known as real number.
• Rational number
• Irrational numbers
• Integers
• Whole number
• Natural numbers
1) 1.![]()
This is an rational number so it s a real number too.
2) √5
Since it is not a perfect square. It is known as irrational.
3) 4.10547194…
The dot in the end of the decimals indicates they are non-repeating numbers. It is clearly an irrational.
4) 4.8
It seems clearly as a rational number.
5) 0.![]()
Since it s a recurring number. It is known as rational number
6) √25
This is perfect square, so it is a rational number.
7) √10
This is not a perfect square, so it is an irrational number.
8) √196
Since it is perfect square. It is a rational number.
9) 3.819023…
Since there is no repeating number in this, it is known as irrational number.
10) 6.10203040
![]()
Since it has repeating numbers this is rational.

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