Science Examples

# Examples of Whole 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?

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.

1.  -47,
2. -15
3. -9
4. -4
5. -1
6. 0
7. 1
8. 2
9. 3
10. 12
11. 15
12. 2. 3
13. 113
14. 1485
15. 1733

Check Also
Close