Get the most by viewing this topic in your current grade. Pick your course now.

  1. Negations Overview:
    Definition of Negations and Examples
  1. Negation of the Statement

    Write the negation of each statement:

    1. The sun rises from the east.
    2. 1+1=0 1+1=0
    3. January is the first month of the year.
    4. The Eiffel Tower is in Japan.
    5. A square has 7 sides.
  2. Truth Value of a Negation

    Write the negation of each statement, and determine the truth value:

    1. A snake is a reptile.
    2. The measure of an acute angle is greater than 90°.
    3. 5+5+5=555 5+5+5=555
    4. 56\frac{5}{6} is a fraction.
  3. The symbols represent the following statements

    pp: A pentagon has 5 sides
    qq: United States is a city
    rr: Chairs have four legs

    Write a complete sentence in words to show what the symbols means, and find the truth value:

    i) ~pp
    ii) ~qq
    iii) ~rr
    1. Double Negation

      Determine the truth value of the statement. Negate it twice, write it in a complete sentence, and determine the new truth value:

      1. A quarter of an hour is 15 minutes
      2. There is caffeine in coffee.
      3. The ocean has salt water.
    Free to Join!
    StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
    • Easily See Your Progress

      We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
    • Make Use of Our Learning Aids

      Last Viewed
      Practice Accuracy
      Suggested Tasks

      Get quick access to the topic you're currently learning.

      See how well your practice sessions are going over time.

      Stay on track with our daily recommendations.

    • Earn Achievements as You Learn

      Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
    • Create and Customize Your Avatar

      Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
    Topic Notes
    The negation of a statement is the opposite of a statement. We denote it with either "not" or the symbol ~. The negation gives the opposite of the truth value. For example,
    pp: A square is a rectangle
    ~ pp: A square is not a rectangle pp is true, so ~pp is false.