To determine whether each number in the list is a real number, a rational number, an irrational number, an integer, or a whole number, let's start with the definitions:
1. Real number: Any number that can be found on the number line, including rational and irrational numbers.
2. Rational number: A number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
3. Irrational number: A number that cannot be expressed as the quotient or fraction of two integers. They are non-repeating and non-terminating decimals.
4. Integer: A whole number that can be positive, negative, or zero.
5. Whole number: All positive numbers without any fractions or decimals.
Now let's analyze each number in the list:
1. Square root of 3: This number is an irrational number since the square root of 3 cannot be expressed as a fraction.
2. 5.5: This number is both a real number and a rational number. It can be expressed as 11/2, which is a quotient of integers.
3. Negative square root of 16: This number is both a real number and a rational number. The square root of 16 is 4, and adding the negative sign makes it -4. It can be expressed as -4/1, which is a quotient of integers.
4. 0: This number is both a real number and an integer. It is the only whole number that is neither positive nor negative.
To summarize:
- Square root 3: Real number, irrational number.
- 5.5: Real number, rational number.
- Negative square root of 16: Real number, rational number, integer.
- 0: Real number, integer, whole number.