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Mathematics LibreTexts

1.3.1.1: Exercises

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    82829
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    Section 1.3.1.1 Exercises

    1. Find a whole number that is not a counting number.
    2. Find an integer that is not a whole number.
    3. Find a whole number that is not an integer.
    4. Find an integer that is not negative.
    5. Find a rational number that is not an integer.
    6. Find a whole number that is not rational.
    7. Identify which sets of numbers include the following numbers:  counting numbers, whole numbers, integers, or none of the above
      1. \( \dfrac{5}{8}\)
      2. 0
      3. \(\sqrt{2} \)
      4. -4
      5. \( \sqrt{-5} \)
    8. True or False:  I can buy \(\pi\) pencils.
    9. Between what two integers is each number below?
      1. \( \sqrt{20} \)
      2. -\( 10\)
      3. \(\sqrt{-15} \)
    10. Approximate the value of \( \sqrt{5} \) by rounding to the nearest hundredth.
    11. Approximate the value of \( -\sqrt{12}\) by rounding to one decimal place.
    12. Determine which of these statements are true, if any.
      1. \(-3 > 0\)
      2. \(-(-3) > 0\)
      3. \( |-3| > 0\)
      4. \(-|3| > 0\)
      5. \(-|-3| > 0\)
      6. \(|-3| > -|-3|\)
    13. Evaluate
      1. -2 + -5
      2. -7 + 4
      3. 5 + -11
      4. 5 – 14
      5. -2 – 8
      6. 8 – (-8)
      7. -7 – (-2)
      8. (-44)(-2)
      9. 6 (-3)
      10. (-6.239)(-100)
      11. (-4)(6.25)
      12. \(\dfrac{-3}{8} -\dfrac{5}{9}\)
      13. -32 ÷ 8
      14. 12 ÷ (-4)
      15. \(\dfrac{1}{3} \div -3\)
      16. \(-3 \div \dfrac{1}{3}\)
      17. 0.3(-0.4)
      18. 3.2(-5)
      19. -2.4 ÷ (-6)
      20. -4 \(\dfrac{2}{3} \div \dfrac{-7}{12}\)
    14. Without actually doing the calculations, determine the sign of the product.
      1. (-5)(-3)( 6)( -7)
      2. (-7)\(^4\)
      3. (6)(-4)(7)(-5)(3)
      4. (-5)(-6)(0)(-3)(4)(-7)(-2)

    This page titled 1.3.1.1: Exercises is shared under a not declared license and was authored, remixed, and/or curated by Leah Griffith, Veronica Holbrook, Johnny Johnson & Nancy Garcia.

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