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# Integers

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### Integers

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