Exercises


  1. Underline all whole numbers in red. Circle all integers in blue.  
    Box all rational numbers in green.\[ 16 \quad -25 \quad 4\tfrac{1}{3} \quad -3\tfrac{3}{8} \quad 0\]
  2. True or False. Mark each statement as true or false.  If the statement is false, give an example and explain why.
    1. Every whole number is a rational number.
    2. Every integer is a whole number.
    3. All negative numbers are integers.A Venn diagram showing the Whole numbers are inside the Integers while both are inside the Rational numbers.
  3. If \(-7^\circ\)C denotes a temperature of \(7^\circ\)C below \(0^\circ\)C, what does \(5^\circ\)C mean?
  4. We learned that number systems can be organized using this diagram.  Explain why some number systems are positioned inside of others.
  5. A bake sale is one example of how integers are needed to describe profits and losses.
    Describe a scenario that requires rational numbers. 
  6. A group of \(7\) friends are sharing an order of \(5\) pizzas.  Each pizza is cut into \(8\) slices.
    Explain how you could use different fractions to describe the amount of pizza each friend gets.
  7. Suppose there is an airplane \(2500\) m above sea level and a submarine \(394\) m below sea level.  Using sea level as your reference point, represent these altitudes using positive and negative integers.