# Examples of Whole Numbers

## Integer numbers

The **integers** are all those numbers that, as a set, bring together **positive, zero and negative numbers; **They used to add or remove units and are denoted with the letter **Z** .

Thus, the **integers** can be seen as the **union** of natural numbers (IN), the zero and; the set of opposites each natural number/

Since the **integers** are used to count either by adding, subtracting or multiplying the number of elements belonging to a set; then the result or total of any of these operations is a **new integer** , so it will be a positive, negative or even zero (0) number.

**Properties of integers (Z)**

Basically, the following **properties** are recognized :

- Addition or subtraction of two integers, gives as a result another
**integer**, it is said that the**set of****integers is closed**. - The
**associative and**are fulfilled for addition and multiplication or product of integers. - The
**Distributive**property of the product is fulfilled. - There is an element in integers,
**zero**; which acts as a**neutral**element**for the sum**. Examples: 5 + 0 = 5; -2 + 0 = -2; -14 + 0 = -14 - Every whole number has an opposite for the sum. Thus,
**-2 is the additive opposite of 2;**8 is the opposite of -8**; -5 is the additive opposite of 5.** - Finally, there is an element in the integers, the one (1); which acts as a
**neutral for multiplication**; this can be seen in the**examples**: 3 × 1 = 3; -7 × 1 = -7.

The name that the **whole numbers** have , is because they **represent units** that cannot be divided; as in the case of people , animals or objects, all those numbers used to determine whole quantities fall into this type. In addition, the fact that they contain **negative numbers** allows operations that involve missing **numbers** .

### For example:

You want to travel a 20 km track and; only 12km were covered,

How many km were missing?

Answer: **20-12 = 8.**

Likewise, these numbers are usually the result of basic mathematical operations such as **subtraction, addition and multiplication. **This means, that its use dates from ancient times and; there is concrete evidence that Hindu mathematicians already affirmed the existence of negative numbers during the 6th century.

**Examples of whole numbers**

- -47,
- -15
- -9
- -4
- -1
- 0
- 1
- 2
- 3
- 12
- 15
- 2. 3
- 113
- 1485
- 1733