Algebra Division Expressions
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Questions and Answers

What do we call mathematical expressions involving division?

  • Division problems
  • Addition problems
  • Multiplication problems
  • Division expressions (correct)

    • When a problem asks you to simplify, what does it mean?

  • To add more numbers and letters
  • To make it more complex
  • To ignore the variables
  • To reduce the expression as much as possible (correct)

    • How is the process of simplifying division expressions compared in the text?

  • A matching game with cards (correct)
  • A jigsaw puzzle
  • A maze to navigate
  • A crossword puzzle

    • What is the purpose of breaking down numbers into their factors when simplifying?

    <p>To find matching pairs</p> Signup and view all the answers

    What does finding a matching pair in a division expression allow you to do?

    <p>Remove that pair from the problem</p> Signup and view all the answers

    What happens when we have matching pairs of x's in a fraction?

    <p>The x's cancel out and can be removed from the problem.</p> Signup and view all the answers

    In the context of simplifying fractions, why is dividing a number by itself equivalent to 1?

    <p>Multiplication by 1 doesn't change the value.</p> Signup and view all the answers

    What is the result when taking out matching pairs of 5's in a fraction like 5 / 10?

    <p>1/2</p> Signup and view all the answers

    Why do we break apart 10 into 5 * 2 in the problem involving 10xy / 2x?

    <p>To simplify the fraction further.</p> Signup and view all the answers

    What is left in the final answer of the problem 10xy / 2x after simplifying?

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

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