Zm Set: Whole Numbers & Positive Integer

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In summary, a whole number is a number without any fractions or decimals, including all positive numbers and zero. It differs from a positive integer, which only includes numbers greater than zero. A whole number cannot be negative and is equivalent to a natural number. Some examples of whole numbers in real life include the number of people, apples, and pencils.
  • #1
u0602647
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:smile: hey, anyone knows what kind of set the following symbol represents?

Zm (Z with subscription m, where Z is the set of whole numbers and m a positive integer).

thanks alot.
 
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  • #2
[tex]Z_m = \{0, 1, 2, \ldots, m-1\}[/tex]

for example,
[tex]Z_2 = \{0, 1\}[/tex]
[tex]Z_3 = \{0, 1, 2\}[/tex]
[tex]Z_4 = \{0, 1, 2, 3\}[/tex]
 
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  • #3
With addition and multiplication defined mod m (Z_m is not just a set).

Warning: notation is ambiguous. I have also seen this used to mean the m-adic integers.
 

FAQ: Zm Set: Whole Numbers & Positive Integer

What is the definition of a whole number?

A whole number is a number that is not a fraction or decimal, and does not have any digits after the decimal point. It includes all positive numbers and zero.

What is the difference between a whole number and a positive integer?

A whole number includes both positive and non-positive integers, while a positive integer only includes numbers that are greater than zero.

Can a whole number be negative?

No, a whole number cannot be negative. Negative numbers fall under the category of integers, not whole numbers.

Are whole numbers and natural numbers the same?

Yes, whole numbers and natural numbers are the same. They both include all positive integers and zero.

What are some real-life examples of whole numbers?

Some real-life examples of whole numbers include the number of people in a room, the number of apples in a basket, and the number of pencils in a pack. These numbers can be counted and do not have any fractions or decimals.

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