To determine the type of the number 0.433, let's examine its properties in detail:
1. Rational number: A number is considered rational if it can be expressed as the quotient (or fraction) of two integers. The number 0.433 can indeed be expressed as a fraction, specifically 433/1000. Therefore, 0.433 is a rational number.
2. Irrational number: An irrational number cannot be expressed as a simple fraction (it cannot be written as a ratio of two integers). Since 0.433 can be expressed as a fraction, it is not an irrational number.
3. Whole number: Whole numbers are non-negative integers, which include 0, 1, 2, 3, and so forth. The number 0.433 has a decimal part, meaning it is not a whole number.
4. Integer: An integer is a whole number that can be positive, negative, or zero. Since 0.433 is not a whole number, it also cannot be classified as an integer.
Based on these definitions, we can summarize that 0.433 is:
- A rational number
- Not an irrational number
- Not a whole number
- Not an integer
Therefore, the types of the number 0.433 are as follows:
- Rational number: True
- Irrational number: False
- Whole number: False
- Integer: False
In conclusion, 0.433 is a rational number.
