Integers: Definition and Operations
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Integers: Definition and Operations

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@FresherViolin

Questions and Answers

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.

negative

The set of all integers is often denoted by the boldface ______ or blackboard bold.

Z

Adding and ______ negative and positive numbers.

<p>subtracting</p> Signup and view all the answers

An integer can also be the number ______.

<p>zero</p> Signup and view all the answers

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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Description

This quiz covers the definition and representation of integers, including positive and negative numbers. It also explores basic operations involving integers, providing a foundation for further mathematical concepts.

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