Question

numbers: √11, \\(\frac{1}{2}\\), -6, √25; columns: natural number, whole number, integer, rational number, irrational number (chart with colored rows and columns, each cell has a blue dot or not)

Explanation:

Answer:

To correct the number classification table:

• For \(\boldsymbol{\sqrt{11}}\):
• Natural number: No (not a positive integer)
• Whole number: No (not a non - negative integer)
• Integer: No (not an integer)
• Rational number: No (it is irrational)
• Irrational number: Yes (since 11 is not a perfect square, \(\sqrt{11}\) cannot be expressed as a fraction of two integers)

• For \(\boldsymbol{\frac{1}{2}}\):
• Natural number: No (not a positive integer)
• Whole number: No (not a non - negative integer)
• Integer: No (not an integer)
• Rational number: Yes (it is a fraction of two integers)
• Irrational number: No (it is rational)

• For \(\boldsymbol{-6}\):
• Natural number: No (natural numbers are positive integers)
• Whole number: No (whole numbers are non - negative integers)
• Integer: Yes (it is a negative integer)
• Rational number: Yes (can be written as \(\frac{-6}{1}\))
• Irrational number: No (it is rational)

• For \(\boldsymbol{\sqrt{25}}\) (which equals 5):
• Natural number: Yes (5 is a positive integer)
• Whole number: Yes (5 is a non - negative integer)
• Integer: Yes (5 is an integer)
• Rational number: Yes (can be written as \(\frac{5}{1}\))
• Irrational number: No (it is rational)

The corrected table (with "No" represented by removing the dot and "Yes" by keeping the dot in the respective cells) would be:

Number	Natural number	Whole number	Integer	Rational number	Irrational number
\(\frac{1}{2}\)	No	No	No	Yes	No
\(-6\)	No	No	Yes	Yes	No
\(\sqrt{25}\)	Yes	Yes	Yes	Yes	No