Integers
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Integers

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Integers Integers Presentation Transcript

  • Moira Clemente Alpresa IES Maestro Diego Llorente (Los Palacios y Villafranca) Integers
  • VOCABULARY
    • Integers
    • Whole numbers
    • Number line
    • Absolute value
    • Opposite
  • 1.-Positive and negative numbers
    • There are many situations in which you need to use numbers below zero. Examples:
    • The height of Mount Everest is 8700m +8700
    • A submarine which is sailing 700 m below sea level -700
    • The second floor of a subterranean garage -2
    • He has saved 5000 € in his bank account +5000
    • He is 400 € overdrawn -400
    • The average summer temperature here is 35ºC +35
    • The temperature in Siberia has risen 25ºC below zero -25
    View slide
  • Exercise 1
    • Write with an integer the following informations:
    • The plane is flying at 9500 m high
    • The minimum temperature yesterday was 3 degrees below zero
    • The garage is on the second cellar
    • The diver is swimming 20 metres deep
    • Sergio owes 25 euros
    • Pythagoras was born on 582 BC
    • Solution:
    • a)+9500m b) -3ºC c)-2 d)-20 e)-25€ f)-582
    View slide
  • 2.- The integers set
    • The integer set is formed by the natural numbers, zero and negative numbers.
    • It is represented by Z.
    • Z = {........., -4, -3, -2, -1, 0, 1, 2, 3, 4, ............}
    • The integer set doesn't have a beginning or an ending and it has infinite elements.
    • If a number is written without a sign then it is positive.
  • 2.1.Graphical representation
    • Integers can be represented on the number line
    • Exercise 2: Represent on a line the following numbers: -1, +3, +7 and -5
  • 2.2. Absolute value
    • The absolute value of an integer is the number without the sign.
    • It is represented as |a| and it is called absolute value of a.
    • Examples:
    • |6| = 6 |-10| = 10 |0| = 0
    • |123| = 123 |-3404| = 3404
  • Exercises
    • Exercise 3:Work out the absolute value of these numbers
    • a) |-9| b) |+5| c) |-3| d) |+7| e) |0|
    • Solution: a) 9 b)5 c)3 d)7 e)0
    • Exercise 4:Find out the number that has an absolute value of 7 and is between –8 and -6
    • Solution: -7
    • Thanks for your attention