Understanding Integers
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Questions and Answers

What is the quotient when $-24$ is divided by $6$?

  • 6
  • -6
  • -4 (correct)
  • 4
  • What is the result of $(-5) imes 8$?

  • 13
  • -13
  • 40
  • -40 (correct)
  • If 42 cookies are to be split into 6 gift bags, how many cookies are in each bag?

  • -7
  • 7
  • -6
  • 6 (correct)
  • A cellphone has lost 35% of its battery life since a new application was downloaded. If it has been losing 7% of its battery life every hour, how many hours have passed since the download?

    <p>5</p> Signup and view all the answers

    $-60$ divided by $(-5)$ equals?

    <p>-12</p> Signup and view all the answers

    What are integers?

    <p>All real numbers including 0, positive counting numbers, and their negative counterparts</p> Signup and view all the answers

    What is the modulus of an integer?

    <p>The distance a number is from the origin, regardless of its sign</p> Signup and view all the answers

    Where are negative numbers located on a horizontal number line?

    <p>To the left of 0</p> Signup and view all the answers

    What does it mean for a number to be considered negative?

    <p>$-x$, where $x$ is a positive number</p> Signup and view all the answers

    How is the absolute value of a negative number represented?

    <p>$|-x|$, read as 'the absolute value or modulus of negative $x$'</p> Signup and view all the answers

    Study Notes

    Division Operations

    • The quotient of -24 divided by 6 is -4.

    Multiplication Operations

    • The result of (-5) × 8 is -40.

    Division Word Problems

    • If 42 cookies are divided into 6 gift bags, there are 7 cookies in each bag.

    Percentage Decrease

    • If a cellphone loses 35% of its battery life since an app was downloaded, and 7% every hour, it has been 5 hours since the download.

    Division Operations

    • -60 divided by (-5) equals 12.

    Integers

    • Integers are whole numbers, either positive, negative, or zero, without decimal or fractional parts.

    Modulus (Absolute Value)

    • The modulus of an integer is its distance from zero on the number line, always a non-negative value.
    • For example, the modulus of -5 is 5.

    Number Lines

    • Negative numbers are located to the left of zero on a horizontal number line.

    Negative Numbers

    • A number is considered negative if it is less than zero.

    Absolute Value Notation

    • The absolute value of a negative number is represented using the modulus symbol, for example, |-5| = 5.

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    Description

    Test your knowledge of integers, which are a subset of real numbers including zero, positive counting numbers, and their negative counterparts. Explore the properties and characteristics of integers in this quiz.

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