Adding Rational Numbers
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Questions and Answers

What is the meaning of p + q in the context of numbers?

  • The difference between p and q
  • The number located a distance |q| from p, in the positive or negative direction (correct)
  • The number located at the midpoint of p and q
  • The sum of p and q when p is positive and q is negative
  • A number and its opposite always have a product of 0.

    False

    Describe a real-world situation where opposite quantities combine to make 0.

    A hydrogen atom has 0 charge because its two constituents are oppositely charged.

    A number and its opposite are called ______________________ inverses.

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

    Match the following situations with their descriptions:

    <p>A hydrogen atom = Has 0 charge because its two constituents are oppositely charged A rope with 5 meters of positive tension and 5 meters of negative tension = Has a net tension of 0 A bank account with $100 and -$100 = Has a net balance of $0 A clock with 5 hours forward and 5 hours backward = Has a net time of 0 hours</p> Signup and view all the answers

    Study Notes

    Understanding p + q

    • p + q represents a number located at a distance of |q| from p, either in the positive or negative direction, depending on whether q is positive or negative.

    Additive Inverses

    • A number and its opposite have a sum of 0.
    • This means that the two numbers are additive inverses of each other.

    Real-World Contexts of Sums of Rational Numbers

    • Sums of rational numbers can be interpreted in real-world contexts, such as combining opposite quantities to make 0.

    Opposite Quantities Combining to Make 0

    • In a hydrogen atom, the positive and negative charges of its two constituents combine to make 0, resulting in a net charge of 0.
    • This concept can be applied to other situations where opposite quantities cancel each other out.

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    Description

    This quiz covers the basics of adding rational numbers, including understanding p + q, additive inverses, and real-world applications.

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