Let's categorize the given numbers and properties according to the definitions provided:
1. 8977 and 8096:
- These are positive numbers without any decimals or fractions.
- Therefore, these numbers are Whole Numbers.
- Since they can also be written as fractions (8977/1 and 8096/1), they are also Rational Numbers.
2. 5/20:
- This is a part of a whole written as a numerator over a denominator.
- To simplify, divide the numerator and the denominator by their greatest common divisor, which is 5, resulting in 1/4 (or 0.25 as a decimal).
- Therefore, 5/20 is a Fraction.
3. Categories:
- Whole Number: Any positive number WITHOUT any decimals or fractions.
- Rational Number: Numbers that can be written as a fraction, terminating decimal, or repeating decimal.
- Irrational Number: Numbers that can't be written as a fraction and appear as decimals that continue with no pattern.
- Fraction: A part of a whole written as a numerator over a denominator.
Now, matching all these:
- Whole Number: Any positive number WITHOUT any decimals or fractions.
- Matched Numbers: 8977 and 8096
- Rational Number: Are those that can be written as a fraction or terminating decimal, or repeating decimal.
- Matched Numbers: 8977 and 8096
- Irrational Number: Are those that can't be written as a fraction and look like decimals that are continuing with no pattern.
- Matched Numbers: None
- Fraction: A part of a whole written as numerator over a denominator.
- Matched Example: 5/20 simplified to 0.25
So, the final classifications are:
- Whole Number: 8977, 8096
- Rational Number: 8977, 8096
- Irrational Number: None
- Fraction: 5/20 (or 0.25 after simplification)
This provides a detailed understanding of how the given numbers fit into their respective categories.
