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Integers & Number Lines

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Integers & Number Lines

Place and compare positive and negative integers on number lines. Use integers to describe real-life changes and positions relative to zero.

Plotting and comparing integers

1.Place −11, 4, −3, 8, −1 and 13 on the number line. Write each value above its correct tick.
-15-11-7-31591315
2.Which of these integers is closest to zero: −11, 4, −3, 8, −1 or 13?
  • −11
  • −1
  • 4
  • 13
3.Choose the true statement about integers.
  • Every integer is greater than zero.
  • Zero is neither positive nor negative.
  • A negative integer is always greater than a positive integer.

Football tournament: heights and scores

Tournament venues are recorded as metres above or below sea level. Their elevations are: Main ground, 0 m; tunnel entrance, −7 m; ridge lookout, 21 m; low field, −15 m; upper stand, 28 m; creek path, −4 m.

4.Use the elevations in the tournament information to place all six venues on a vertical number line.
-20-100102030
5.Which venue is the highest above sea level?
6.Which venue is the furthest below sea level?
7.Explain how the vertical number line shows that the upper stand is higher than the ridge lookout.

Tournament score changes

After a round, the players’ point changes are: Zach +36, Ivy −24, Matilda +51, Eli −51, Mei +24 and Finn −36.

8.Which player had the greatest gain in points?
9.Which player had the greatest loss in points?
10.Select every pair of players whose point changes add to zero.
  • Zach (+36) and Finn (−36)
  • Ivy (−24) and Mei (+24)
  • Matilda (+51) and Eli (−51)
  • Zach (+36) and Eli (−51)
11.The temperature near the tournament ground is 6°C in the morning. It falls by 9°C. What is the new temperature?
-5-3-11357910
12.Give two real-life situations, other than temperature or football scores, where negative integers can describe a value or change.

3 printable pages

  • Integers & Number Lines, page 1 of 3: Plotting and comparing integers, Football tournament: heights and scores

    Page 1

  • Integers & Number Lines, page 2 of 3: Tournament score changes

    Page 2

  • Integers & Number Lines, page 3 of 3: 11. The temperature near the tournament ground is 6°C in the morning. It falls by 9°C.…

    Page 3

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