define each term and give at least 2 examples of each
whole numbers
natural numbers
integers
rational numbers
irrational numbers
You can Google each term. Here's the first.
http://www.google.com/#q=whole+numbers+define
Sure! Here are the definitions of each term and a couple of examples for each:
1. Whole numbers:
- Definition: Whole numbers are the set of non-negative numbers that do not include fractions or decimals.
- Examples: 0, 1, 2, 3, 4, ...
2. Natural numbers:
- Definition: Natural numbers are the set of positive whole numbers that are used for counting and do not include zero.
- Examples: 1, 2, 3, 4, 5, ...
3. Integers:
- Definition: Integers are the set of positive and negative whole numbers along with zero.
- Examples: -3, -2, -1, 0, 1, 2, 3, ...
4. Rational numbers:
- Definition: Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers. They can be terminating or repeating decimals.
- Examples: 1/2, 0.75 (3/4), -2/3, 2.5 (5/2)
5. Irrational numbers:
- Definition: Irrational numbers are numbers that cannot be expressed as a fraction and have an infinite number of non-repeating decimals.
- Examples: π (pi), √2 (square root of 2), √3 (square root of 3), e (Euler's number)
To determine if a number falls into any of these categories, you can analyze its properties and characteristics. For example, if a number can be written as a fraction, it is rational; otherwise, it may be irrational. Similarly, if a number is a positive whole number, it falls under the category of natural numbers.