is 25/5 a natural, whole, integers, rational, real number, irrational number
25/5 is:
- Natural: Yes, as it is a positive number that can be counted.
- Whole: Yes, as it is a non-negative number that is not a fraction or a decimal.
- Integers: Yes, as it can be expressed as the integer 5 without any fraction or decimal part.
- Rational: Yes, as it can be expressed as a fraction of two integers (25/5 = 5/1).
- Real: Yes, as it is a number that can be represented on the number line.
- Irrational: No, as it can be expressed as a fraction and therefore it is not an irrational number.
Let's break down the given expression and determine its characteristics step by step:
Step 1: Simplify the Expression
25 divided by 5 simplifies to 5.
Step 2: Determine the Characteristics of the Resulting Number
Natural number: Natural numbers are positive whole numbers, excluding zero. In this case, 5 is a natural number.
Whole number: Whole numbers include zero and all natural numbers. Since 5 is a natural number, it is also a whole number.
Integers: Integers are positive and negative whole numbers, including zero. As 5 is a positive whole number, it is an integer.
Rational number: Rational numbers can be expressed as a fraction p/q, where p and q are integers and q is not zero. Since 5 can be expressed as 5/1, it is a rational number.
Real number: Real numbers consist of rational and irrational numbers, covering all possible numbers on the number line. As 5 is rational, it is also a real number.
Irrational number: Irrational numbers cannot be expressed as a fraction and have non-terminating and non-repeating decimal representations. In this case, 5 is a rational number, so it is not irrational.
To summarize, 25/5 is a natural number, whole number, integer, rational number, and real number, but it is not an irrational number.