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 (A)</p> Signup and view all the answers

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

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

What are integers?

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

Where are negative numbers located on a horizontal number line?

<p>To the left of 0 (B)</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 (D)</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 $x$' (D)</p> Signup and view all the answers

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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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