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Exploring Integers: Graphing, Comparing, and Ordering

Learn how to identify, graph, compare, and order integers in this interactive lesson. Practice writing integers for real-life situations and find the opposite of a given integer.

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Exploring Integers: Graphing, Comparing, and Ordering

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  1. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 1-6b Objective Identify, graph, compare, and order integers

  4. Example 1-6b Vocabulary Integer Any number from the set {. . . , -4, -3, -2, -1, 0, 1, 2, 3, 4, . . . } where . . . Means continues without end

  5. Example 1-6b Vocabulary Negative integer Integers less than zero

  6. Example 1-6b Vocabulary Positive integer Integers greater than zero

  7. Example 1-6b Vocabulary Graph To draw a dot at the location on the number line that corresponds to the integer

  8. Example 1-6b Vocabulary Opposites Numbers that are the same distance from zero in opposite directions on the number line -4 4

  9. Example 1-6b Vocabulary Math Symbols < is less than > Is greater than

  10. Lesson 1 Contents Example 1Write Integers for Real-Life Situations Example 2Write Integers for Real-Life Situations Example 3Graph an Integer on a Number Line Example 4Compare Integers Example 5Order Integers Example 6Find the Opposite of an Integer

  11. Example 1-1a GROWTH Write an integer that describes a height increase of 3 inches. Write integer 3 + Determine sign “Increase” refers to positive Answer: +3 1/6

  12. Example 1-1b WEATHER Write an integer that describes a temperature of 12 degrees above zero. Answer: +2 1/6

  13. Example 1-2a GOLF Write an integer that describes A golfer is seven shots below par. Write integer - 7 Determine sign “Below” refers to negative Answer: –7 2/6

  14. Example 1-2b FOOTBALL Write an integer that describes a loss of 8 yards on the second down. Answer: –8 2/6

  15. Example 1-3a Graph –2 on a number line. Draw appropriate number line Answer: Locate integer on number line 3/6

  16. Example 1-3b Graph –5 on a number line. Answer: 3/6

  17. Replace with <, >, or to make –2–6 a true sentence. Example 1-4a Write problem -2 -6 Draw appropriate number line which will include -2, -6, and 0 Graph -2 Graph -6 4/6

  18. Replace with <, >, or to make –2–6 a true sentence. Example 1-4a Since -2 is first locate it on the number line in relation to -6 Answer: > -2 -6 Numbers to the right are the largest 4/6

  19. Replace with <, >, or to make –7 –3 a true sentence. Example 1-4b < Answer: -7 -3 4/6

  20. Example 1-5a WEATHER The average daily low temperatures in four northern towns are 6, –14, 10, and –8 degrees Fahrenheit. Order the temperatures from least to greatest. Draw appropriate number line which will include 6, -14, 10, and -8 5/6

  21. Example 1-5a WEATHER The average daily low temperatures in four northern towns are 6, –14, 10, and –8 degrees Fahrenheit. Order the temperatures from least to greatest. Graph 6 Graph -14 Graph 10 Graph -8 5/6

  22. Example 1-5a WEATHER The average daily low temperatures in four northern towns are 6, –14, 10, and –8 degrees Fahrenheit. Order the temperatures from least to greatest. Write the numbers as shown on number line from left to right Answer -14, -8, 6, 10 5/6

  23. Example 1-5b GOLF The final scores for four golfers competing in a tournament are 2, –5, 4, and –1. Order the scores from least to greatest. Answer: –5, –1, 2, 4 5/6

  24. Answer: Example 1-6a Write the opposite of –10 Write the problem -10 The opposite number is the same distance from zero in the other direction +10 NOTE: Same number with opposite sign 6/6

  25. Example 1-6b * Write the opposite of –7 Answer: 6/6

  26. End of Lesson 1 Assignment

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