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Questions and Answers
An integer is the number zero, a positive natural number, or the negation of a positive ______.
An integer is the number zero, a positive natural number, or the negation of a positive ______.
natural number
The negations or additive inverses of the positive natural numbers are referred to as ______ integers.
The negations or additive inverses of the positive natural numbers are referred to as ______ integers.
negative
The set of all integers is often denoted by the boldface ______ or blackboard bold.
The set of all integers is often denoted by the boldface ______ or blackboard bold.
Z
Adding and ______ negative and positive numbers.
Adding and ______ negative and positive numbers.
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An integer can also be the number ______.
An integer can also be the number ______.
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Study Notes
Definition of Integers
- Integers include zero, positive natural numbers, and their negative counterparts.
- Positive integers are those greater than zero, while negative integers are the additive inverses of positive integers.
Representation of Integers
- The set of all integers is commonly indicated by the symbol Z, which is styled in boldface or blackboard bold.
Operations with Integers
- Adding integers involves combining positive integers and negative integers, resulting in sums that can also be positive or negative.
- Subtracting integers includes taking away a positive integer from another integer or a negative integer, which may result in a change of sign depending on the values involved.
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