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Indice   Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises                           ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises          1 Sets of Nu...
Indice        Sets of Numbers    The number line   Add and subtract   Multiply and divide   Exercises                     ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Sets of Numbers Count...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Sets of Numbers Count...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Sets of Numbers Count...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Sets of Numbers The s...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Sets of Numbers The s...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Sets of Numbers The s...
Indice        Sets of Numbers    The number line   Add and subtract   Multiply and divide   Exercises                     ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises The number line What´...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises                      ...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Adding and subtra...
Indice        Sets of Numbers      The number line   Add and subtract   Multiply and divide   Exercises Adding and subtrac...
Indice        Sets of Numbers      The number line   Add and subtract   Multiply and divide   Exercises Adding and subtrac...
Indice        Sets of Numbers     The number line   Add and subtract   Multiply and divide   Exercises Adding and subtract...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises                      ...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Multiplying and d...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Multiplying and d...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Multiplying and d...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Multiplying and d...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Multiplying and d...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Multiplying and d...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Multiplying and d...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Multiplying and d...
Indice        Sets of Numbers       The number line   Add and subtract   Multiply and divide   Exercises Multiplying and d...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises                      ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 1 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 1 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 2 ...
Indice        Sets of Numbers      The number line   Add and subtract       Multiply and divide   Exercises Exercises Exer...
Indice        Sets of Numbers    The number line   Add and subtract      Multiply and divide      Exercises Exercises Exer...
Indice        Sets of Numbers    The number line   Add and subtract      Multiply and divide      Exercises Exercises Exer...
Indice        Sets of Numbers    The number line   Add and subtract      Multiply and divide      Exercises Exercises Exer...
Indice        Sets of Numbers    The number line   Add and subtract      Multiply and divide      Exercises Exercises Exer...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 4 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 4 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 4 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 4 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 4 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 4 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 4 ...
Indice          Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise ...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice          Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise ...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice        Sets of Numbers   The number line      Add and subtract   Multiply and divide   Exercises Exercises Exercise...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 7 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 7 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 7 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 7 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 7 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 7 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 7 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 8 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 8 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 8 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 8 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 8 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 8 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 9 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 9 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 9 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 9 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 9 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 9 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 9 ...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 10...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 10...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 10...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 10...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 10...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 10...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 11...
Indice        Sets of Numbers   The number line       Add and subtract   Multiply and divide   Exercises Exercises Exercis...
Indice        Sets of Numbers   The number line       Add and subtract   Multiply and divide   Exercises Exercises Exercis...
Indice        Sets of Numbers   The number line       Add and subtract   Multiply and divide   Exercises Exercises Exercis...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 12...
Indice        Sets of Numbers   The number line       Add and subtract   Multiply and divide   Exercises Exercises Exercis...
Indice        Sets of Numbers   The number line       Add and subtract   Multiply and divide   Exercises Exercises Exercis...
Indice        Sets of Numbers   The number line       Add and subtract   Multiply and divide   Exercises Exercises Exercis...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 13...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 13...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 13...
Indice        Sets of Numbers   The number line   Add and subtract   Multiply and divide   Exercises Exercises Exercise 13...
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  1. 1. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Integers Matem´ticas 1o E.S.O. a Alberto Pardo Milan´s e -
  2. 2. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises 1 Sets of Numbers 2 The number line 3 Adding and subtracting integers 4 Multiplying and dividing integers 5 ExercisesAlberto Pardo Milan´s e Integers
  3. 3. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Sets of NumbersAlberto Pardo Milan´s e Integers
  4. 4. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Sets of Numbers Counting numbers and Integers IN is the set of natural numbers, also called counting numbers or positive numbers. Positive numbers, negative numbers, and zero are called integers. Positive numbers represent data that are greater than 0, they are written with a + sign or no sign at all. Example: read +3 positive three or plus three. Negative numbers represent data that are less than 0, they are written with a − sign. Example: read −5 negative five or minus five, for temperatures you can also use five below zero.Alberto Pardo Milan´s e Integers
  5. 5. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Sets of Numbers Counting numbers and Integers IN is the set of natural numbers, also called counting numbers or positive numbers. Positive numbers, negative numbers, and zero are called integers. Positive numbers represent data that are greater than 0, they are written with a + sign or no sign at all. Example: read +3 positive three or plus three. Negative numbers represent data that are less than 0, they are written with a − sign. Example: read −5 negative five or minus five, for temperatures you can also use five below zero.Alberto Pardo Milan´s e Integers
  6. 6. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Sets of Numbers Counting numbers and Integers IN is the set of natural numbers, also called counting numbers or positive numbers. Positive numbers, negative numbers, and zero are called integers. Positive numbers represent data that are greater than 0, they are written with a + sign or no sign at all. Example: read +3 positive three or plus three. Negative numbers represent data that are less than 0, they are written with a − sign. Example: read −5 negative five or minus five, for temperatures you can also use five below zero.Alberto Pardo Milan´s e Integers
  7. 7. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Sets of Numbers The set Z, absolute value and opposite Z is the set of integers: Z = {· · · − 5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5 . . . } The absolute value of an integer is the value of the number regardless of its sign. Example: read | − 2| = 2 the absolute value of negative two is two. The absolute value of a number is its distance from zero on a number line. Opposites are numbers that are the same distance from zero on a number line, but in opposite directions (so they both have the same absolute value). Example: the opposite of −5 is Op(−5) = 5.Alberto Pardo Milan´s e Integers
  8. 8. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Sets of Numbers The set Z, absolute value and opposite Z is the set of integers: Z = {· · · − 5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5 . . . } The absolute value of an integer is the value of the number regardless of its sign. Example: read | − 2| = 2 the absolute value of negative two is two. The absolute value of a number is its distance from zero on a number line. Opposites are numbers that are the same distance from zero on a number line, but in opposite directions (so they both have the same absolute value). Example: the opposite of −5 is Op(−5) = 5.Alberto Pardo Milan´s e Integers
  9. 9. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Sets of Numbers The set Z, absolute value and opposite Z is the set of integers: Z = {· · · − 5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5 . . . } The absolute value of an integer is the value of the number regardless of its sign. Example: read | − 2| = 2 the absolute value of negative two is two. The absolute value of a number is its distance from zero on a number line. Opposites are numbers that are the same distance from zero on a number line, but in opposite directions (so they both have the same absolute value). Example: the opposite of −5 is Op(−5) = 5.Alberto Pardo Milan´s e Integers
  10. 10. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises The number lineAlberto Pardo Milan´s e Integers
  11. 11. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises The number line What´s the number line? The number line is a straight line in which the integers are shown. The line continues left and right forever. If a number is to the left of a number on the number line, it is less than the other number. If it is to the right then it is greater than that number. Example: 2 < 4 because 2 lies to the left of 4 in the number line. −1 > −3 because −1 lies to the right of −3 in the number line. −4 < 1 because −4 lies to the left of 1 in the number line. −2 < 0 because 0 lies to the right of −2 in the number line.Alberto Pardo Milan´s e Integers
  12. 12. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Adding and subtracting integersAlberto Pardo Milan´s e Integers
  13. 13. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Adding and subtracting integers Adding Add using the number line: Add a positive integer by moving to the right on the number line. Add a negative integer by moving to the left on the number line.Alberto Pardo Milan´s e Integers
  14. 14. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Adding and subtracting integers Adding Add using absolute values: The signs are the same: If the signs are the same, add the numbers’ absolute values and retain the same sign. The sum of two positive integers is always positive, the sum of two negative integers is always negative. Examples: Find −3 + (−2): the signs are the same (negative) and | − 3| = 3, | − 2| = 2, 3 + 2 = 5, so −3 + (−2) = −5. Find 2 + (+1): the signs are the same (positive) and | + 2| = 2, | + 1| = 1, 2 + 1 = 3, so 2 + (+1) = +3.Alberto Pardo Milan´s e Integers
  15. 15. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Adding and subtracting integers Adding Add using absolute values: The signs are different: If the signs are different, subtract the numbers’ absolute values and retain the sign of the number with the greater absolute value. Examples: Find −3 + (+2): the signs are different and | − 3| = 3, | + 2| = 2, 3 − 2 = 1, so −3 + (+2) = −1, because 3 > 2. Find −1 + (+5): the signs are different and | − 1| = 1, | + 5| = 5, 5 − 1 = 4, so −1 + (+5) = +4, because 1 < 5.Alberto Pardo Milan´s e Integers
  16. 16. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Adding and subtracting integers Subtracting Subtract an integer by adding its opposite. Examples: Find −4 − (−3): adding its opposite −4 − (−3) = −4 + (+3) = −1. Find −3 − 1: adding its opposite −3 − 1 = −3 − (+1) = −3 + (−1) = −4. Find 6 − (−10): adding its opposite 6 − (−10) = 6 + (+10) = 16.Alberto Pardo Milan´s e Integers
  17. 17. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integersAlberto Pardo Milan´s e Integers
  18. 18. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integers Multiplying To multiply integers, multiply the absolute values and then use these rules to find the corresponding sign: The product of two integers with different signs is negative, the product of two integers with the same sign is positive. Examples: Find 2 · (−1): the integers have different signs, the product is negative 2 · (−1) = −2. Find −4 · 3: the integers have different signs, the product is negative −4 · 3 = −12. Find 3 · 5: the integers have the same signs, the product is positive 3 · 5 = +15. Find −2 · (−4): the integers have the same signs, the product is positive −2 · (−4) = +8.Alberto Pardo Milan´s e Integers
  19. 19. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integers Multiplying To multiply integers, multiply the absolute values and then use these rules to find the corresponding sign: The product of two integers with different signs is negative, the product of two integers with the same sign is positive. Examples: Find 2 · (−1): the integers have different signs, the product is negative 2 · (−1) = −2. Find −4 · 3: the integers have different signs, the product is negative −4 · 3 = −12. Find 3 · 5: the integers have the same signs, the product is positive 3 · 5 = +15. Find −2 · (−4): the integers have the same signs, the product is positive −2 · (−4) = +8.Alberto Pardo Milan´s e Integers
  20. 20. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integers Multiplying To multiply integers, multiply the absolute values and then use these rules to find the corresponding sign: The product of two integers with different signs is negative, the product of two integers with the same sign is positive. Examples: Find 2 · (−1): the integers have different signs, the product is negative 2 · (−1) = −2. Find −4 · 3: the integers have different signs, the product is negative −4 · 3 = −12. Find 3 · 5: the integers have the same signs, the product is positive 3 · 5 = +15. Find −2 · (−4): the integers have the same signs, the product is positive −2 · (−4) = +8.Alberto Pardo Milan´s e Integers
  21. 21. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integers Multiplying To multiply integers, multiply the absolute values and then use these rules to find the corresponding sign: The product of two integers with different signs is negative, the product of two integers with the same sign is positive. Examples: Find 2 · (−1): the integers have different signs, the product is negative 2 · (−1) = −2. Find −4 · 3: the integers have different signs, the product is negative −4 · 3 = −12. Find 3 · 5: the integers have the same signs, the product is positive 3 · 5 = +15. Find −2 · (−4): the integers have the same signs, the product is positive −2 · (−4) = +8.Alberto Pardo Milan´s e Integers
  22. 22. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integers Dividing To divide integers, divide the absolute values and then use these rules to find the corresponding sign: The division of two integers with different signs is negative, the division of two integers with the same sign is positive. Examples: Find 5 : (−1): the integers have different signs, the quotient is negative 5 : (−1) = −5. Find −12 : 3: the integers have different signs, the quotient is negative −12 : 3 = −4. Find 15 : 5: the integers have the same signs, the quotient is positive 15 : 5 = +3. Find −4 : (−2): the integers have the same signs, the quotient is positive −4 : (−2) = +2.Alberto Pardo Milan´s e Integers
  23. 23. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integers Dividing To divide integers, divide the absolute values and then use these rules to find the corresponding sign: The division of two integers with different signs is negative, the division of two integers with the same sign is positive. Examples: Find 5 : (−1): the integers have different signs, the quotient is negative 5 : (−1) = −5. Find −12 : 3: the integers have different signs, the quotient is negative −12 : 3 = −4. Find 15 : 5: the integers have the same signs, the quotient is positive 15 : 5 = +3. Find −4 : (−2): the integers have the same signs, the quotient is positive −4 : (−2) = +2.Alberto Pardo Milan´s e Integers
  24. 24. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integers Dividing To divide integers, divide the absolute values and then use these rules to find the corresponding sign: The division of two integers with different signs is negative, the division of two integers with the same sign is positive. Examples: Find 5 : (−1): the integers have different signs, the quotient is negative 5 : (−1) = −5. Find −12 : 3: the integers have different signs, the quotient is negative −12 : 3 = −4. Find 15 : 5: the integers have the same signs, the quotient is positive 15 : 5 = +3. Find −4 : (−2): the integers have the same signs, the quotient is positive −4 : (−2) = +2.Alberto Pardo Milan´s e Integers
  25. 25. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integers Dividing To divide integers, divide the absolute values and then use these rules to find the corresponding sign: The division of two integers with different signs is negative, the division of two integers with the same sign is positive. Examples: Find 5 : (−1): the integers have different signs, the quotient is negative 5 : (−1) = −5. Find −12 : 3: the integers have different signs, the quotient is negative −12 : 3 = −4. Find 15 : 5: the integers have the same signs, the quotient is positive 15 : 5 = +3. Find −4 : (−2): the integers have the same signs, the quotient is positive −4 : (−2) = +2.Alberto Pardo Milan´s e Integers
  26. 26. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Multiplying and dividing integers Rule of Signs for multiplying and dividing: Unlike signs produce negative numbers: +·−=− − ·+ = − +:−=− −:+=− Like signs produce positive numbers: +·+=+ − ·− = + +:+=+ −:−=+Alberto Pardo Milan´s e Integers
  27. 27. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises ExercisesAlberto Pardo Milan´s e Integers
  28. 28. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 1 Write the correct number: Positive forty-eight: Negative one hundred and two: Negative two hundred and seventy-three: Three thousand, nine hundred and eleven: Negative one hundred and two thousand, eight hundred and ten: Positive two million, twenty thousand, five hundred and fifty-four:Alberto Pardo Milan´s e Integers
  29. 29. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 1 Write the correct number: Positive forty-eight: +48 Negative one hundred and two: −102 Negative two hundred and seventy-three: −273 Three thousand, nine hundred and eleven: +3911 Negative one hundred and two thousand, eight hundred and ten: −102810 Positive two million, twenty thousand, five hundred and fifty-four: +2020554Alberto Pardo Milan´s e Integers
  30. 30. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: 435: -543: -1,207: 5,673: -12,856: -174,730: 3,323,045: 1,100,305:Alberto Pardo Milan´s e Integers
  31. 31. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  32. 32. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  33. 33. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  34. 34. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  35. 35. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  36. 36. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  37. 37. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  38. 38. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  39. 39. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  40. 40. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 2 How can we read these numbers? -34: Negative thirty-four 435:Four hundred thirty-five -543:Negative five hundred forty-three -1,207:Negative one thousand two hundred and seven 5,673:Positive five thousand six hundred seventy-three -12,856:Negative twelve thousand eight hundred fifty-six -174,730:Negative onehundred seventy-four thousand seven hundred thirty 3,323,045:Positive three million three hundred twenty-three thousand and forty-five 1,100,305:Positive one million one hundred thousand three hundred and fiveAlberto Pardo Milan´s e Integers
  41. 41. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 3 Complete: • +2 is than 5, because +2 lies to the left of 5 in the number line. • −5 is than −3, because −5 to the of −3. • −8 is than 0, because 0 lies the of −8. • 3 is than −2, because −2 to the of 3.Alberto Pardo Milan´s e Integers
  42. 42. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 3 Complete: • +2 is less than 5, because +2 lies to the left of 5 in the number line. • −5 is less than −3, because −5 lies to the left of −3. • −8 is less than 0, because 0 lies to the right of −8. • 3 is greater than −2, because −2 lies to the left of 3.Alberto Pardo Milan´s e Integers
  43. 43. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 3 Complete: • +2 is less than 5, because +2 lies to the left of 5 in the number line. • −5 is less than −3, because −5 lies to the left of −3. • −8 is less than 0, because 0 lies to the right of −8. • 3 is greater than −2, because −2 lies to the left of 3.Alberto Pardo Milan´s e Integers
  44. 44. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 3 Complete: • +2 is less than 5, because +2 lies to the left of 5 in the number line. • −5 is less than −3, because −5 lies to the left of −3. • −8 is less than 0, because 0 lies to the right of −8. • 3 is greater than −2, because −2 lies to the left of 3.Alberto Pardo Milan´s e Integers
  45. 45. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 3 Complete: • +2 is less than 5, because +2 lies to the left of 5 in the number line. • −5 is less than −3, because −5 lies to the left of −3. • −8 is less than 0, because 0 lies to the right of −8. • 3 is greater than −2, because −2 lies to the left of 3.Alberto Pardo Milan´s e Integers
  46. 46. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 4 Put these numbers in order from least to greatest: −25, 22, −3, 42, 31, 2Alberto Pardo Milan´s e Integers
  47. 47. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 4 Put these numbers in order from least to greatest: −25, 22, −3, 42, 31, 2 −25 < − 3 < 2 < 22 < 31 < 42Alberto Pardo Milan´s e Integers
  48. 48. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 4 Put these numbers in order from least to greatest: −25, 22, −3, 42, 31, 2 −25 < − 3 < 2 < 22 < 31 < 42Alberto Pardo Milan´s e Integers
  49. 49. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 4 Put these numbers in order from least to greatest: −25, 22, −3, 42, 31, 2 −25 < − 3 < 2 < 22 < 31 < 42Alberto Pardo Milan´s e Integers
  50. 50. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 4 Put these numbers in order from least to greatest: −25, 22, −3, 42, 31, 2 −25 < − 3 < 2 < 22 < 31 < 42Alberto Pardo Milan´s e Integers
  51. 51. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 4 Put these numbers in order from least to greatest: −25, 22, −3, 42, 31, 2 −25 < − 3 < 2 < 22 < 31 < 42Alberto Pardo Milan´s e Integers
  52. 52. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 4 Put these numbers in order from least to greatest: −25, 22, −3, 42, 31, 2 −25 < − 3 < 2 < 22 < 31 < 42Alberto Pardo Milan´s e Integers
  53. 53. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 5 Find out the opposite of each number. Write down a sentence and the expression: -3: 4: 2: -12:Alberto Pardo Milan´s e Integers
  54. 54. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 5 Find out the opposite of each number. Write down a sentence and the expression: -3: Op(−3) = +3, the opposite of negative three is positive three. 4: Op(4) = −4, the opposite of four is negative four. 2: Op(2) = −2, the opposite of two is negative two. -12:Op(−12) = +12, the opposite of negative twelve is positive twelve.Alberto Pardo Milan´s e Integers
  55. 55. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 5 Find out the opposite of each number. Write down a sentence and the expression: -3: Op(−3) = +3, the opposite of negative three is positive three. 4: Op(4) = −4, the opposite of four is negative four. 2: Op(2) = −2, the opposite of two is negative two. -12:Op(−12) = +12, the opposite of negative twelve is positive twelve.Alberto Pardo Milan´s e Integers
  56. 56. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 5 Find out the opposite of each number. Write down a sentence and the expression: -3: Op(−3) = +3, the opposite of negative three is positive three. 4: Op(4) = −4, the opposite of four is negative four. 2: Op(2) = −2, the opposite of two is negative two. -12:Op(−12) = +12, the opposite of negative twelve is positive twelve.Alberto Pardo Milan´s e Integers
  57. 57. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 5 Find out the opposite of each number. Write down a sentence and the expression: -3: Op(−3) = +3, the opposite of negative three is positive three. 4: Op(4) = −4, the opposite of four is negative four. 2: Op(2) = −2, the opposite of two is negative two. -12:Op(−12) = +12, the opposite of negative twelve is positive twelve.Alberto Pardo Milan´s e Integers
  58. 58. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 6 Find out the absolute value of each number. Write down a sentence and the expression: 5: -7: -9: 11: -23: 0:Alberto Pardo Milan´s e Integers
  59. 59. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 6 Find out the absolute value of each number. Write down a sentence and the expression: 5: |5| = 5, the absolute value of five is five. -7: | − 7| = 7, the absolute value of negative seven is seven. -9: | − 9| = 9, the absolute value of negative nine is nine. 11: |11| = 11, the absolute value of eleven is eleven. -23: | − 23|=23,the absolute value of negative twenty-three is twenty-three 0: |0| = 0, the absolute value of zero is zero.Alberto Pardo Milan´s e Integers
  60. 60. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 6 Find out the absolute value of each number. Write down a sentence and the expression: 5: |5| = 5, the absolute value of five is five. -7: | − 7| = 7, the absolute value of negative seven is seven. -9: | − 9| = 9, the absolute value of negative nine is nine. 11: |11| = 11, the absolute value of eleven is eleven. -23: | − 23|=23,the absolute value of negative twenty-three is twenty-three 0: |0| = 0, the absolute value of zero is zero.Alberto Pardo Milan´s e Integers
  61. 61. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 6 Find out the absolute value of each number. Write down a sentence and the expression: 5: |5| = 5, the absolute value of five is five. -7: | − 7| = 7, the absolute value of negative seven is seven. -9: | − 9| = 9, the absolute value of negative nine is nine. 11: |11| = 11, the absolute value of eleven is eleven. -23: | − 23|=23,the absolute value of negative twenty-three is twenty-three 0: |0| = 0, the absolute value of zero is zero.Alberto Pardo Milan´s e Integers
  62. 62. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 6 Find out the absolute value of each number. Write down a sentence and the expression: 5: |5| = 5, the absolute value of five is five. -7: | − 7| = 7, the absolute value of negative seven is seven. -9: | − 9| = 9, the absolute value of negative nine is nine. 11: |11| = 11, the absolute value of eleven is eleven. -23: | − 23|=23,the absolute value of negative twenty-three is twenty-three 0: |0| = 0, the absolute value of zero is zero.Alberto Pardo Milan´s e Integers
  63. 63. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 6 Find out the absolute value of each number. Write down a sentence and the expression: 5: |5| = 5, the absolute value of five is five. -7: | − 7| = 7, the absolute value of negative seven is seven. -9: | − 9| = 9, the absolute value of negative nine is nine. 11: |11| = 11, the absolute value of eleven is eleven. -23: | − 23|=23,the absolute value of negative twenty-three is twenty-three 0: |0| = 0, the absolute value of zero is zero.Alberto Pardo Milan´s e Integers
  64. 64. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 6 Find out the absolute value of each number. Write down a sentence and the expression: 5: |5| = 5, the absolute value of five is five. -7: | − 7| = 7, the absolute value of negative seven is seven. -9: | − 9| = 9, the absolute value of negative nine is nine. 11: |11| = 11, the absolute value of eleven is eleven. -23: | − 23|=23,the absolute value of negative twenty-three is twenty-three 0: |0| = 0, the absolute value of zero is zero.Alberto Pardo Milan´s e Integers
  65. 65. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 7 Find: 4 + (−1) = 16 − 11 = 12 − 15 = 7 − (−4) = −8 + 2 = (−20) + (−9) =Alberto Pardo Milan´s e Integers
  66. 66. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 7 Find: 4 + (−1) =+3 16 − 11 =+5 12 − 15 =−3 7 − (−4) =+11 −8 + 2 =−6 (−20) + (−9) =−29Alberto Pardo Milan´s e Integers
  67. 67. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 7 Find: 4 + (−1) =+3 16 − 11 =+5 12 − 15 =−3 7 − (−4) =+11 −8 + 2 =−6 (−20) + (−9) =−29Alberto Pardo Milan´s e Integers
  68. 68. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 7 Find: 4 + (−1) =+3 16 − 11 =+5 12 − 15 =−3 7 − (−4) =+11 −8 + 2 =−6 (−20) + (−9) =−29Alberto Pardo Milan´s e Integers
  69. 69. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 7 Find: 4 + (−1) =+3 16 − 11 =+5 12 − 15 =−3 7 − (−4) =+11 −8 + 2 =−6 (−20) + (−9) =−29Alberto Pardo Milan´s e Integers
  70. 70. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 7 Find: 4 + (−1) =+3 16 − 11 =+5 12 − 15 =−3 7 − (−4) =+11 −8 + 2 =−6 (−20) + (−9) =−29Alberto Pardo Milan´s e Integers
  71. 71. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 7 Find: 4 + (−1) =+3 16 − 11 =+5 12 − 15 =−3 7 − (−4) =+11 −8 + 2 =−6 (−20) + (−9) =−29Alberto Pardo Milan´s e Integers
  72. 72. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 8 Find: 13 + (−1) − 14 − (−2) = 8 + (−15) − 13 + 24 = 2−8+2−5+2= 1 + (−2) + 6 − 12 + 6 + (−6) = −17 + 7 − 4 − 11 =Alberto Pardo Milan´s e Integers
  73. 73. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 8 Find: 13 + (−1) − 14 − (−2) =0 8 + (−15) − 13 + 24 =+4 2 − 8 + 2 − 5 + 2 =−7 1 + (−2) + 6 − 12 + 6 + (−6) =−7 −17 + 7 − 4 − 11 =−25Alberto Pardo Milan´s e Integers
  74. 74. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 8 Find: 13 + (−1) − 14 − (−2) =0 8 + (−15) − 13 + 24 =+4 2 − 8 + 2 − 5 + 2 =−7 1 + (−2) + 6 − 12 + 6 + (−6) =−7 −17 + 7 − 4 − 11 =−25Alberto Pardo Milan´s e Integers
  75. 75. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 8 Find: 13 + (−1) − 14 − (−2) =0 8 + (−15) − 13 + 24 =+4 2 − 8 + 2 − 5 + 2 =−7 1 + (−2) + 6 − 12 + 6 + (−6) =−7 −17 + 7 − 4 − 11 =−25Alberto Pardo Milan´s e Integers
  76. 76. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 8 Find: 13 + (−1) − 14 − (−2) =0 8 + (−15) − 13 + 24 =+4 2 − 8 + 2 − 5 + 2 =−7 1 + (−2) + 6 − 12 + 6 + (−6) =−7 −17 + 7 − 4 − 11 =−25Alberto Pardo Milan´s e Integers
  77. 77. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 8 Find: 13 + (−1) − 14 − (−2) =0 8 + (−15) − 13 + 24 =+4 2 − 8 + 2 − 5 + 2 =−7 1 + (−2) + 6 − 12 + 6 + (−6) =−7 −17 + 7 − 4 − 11 =−25Alberto Pardo Milan´s e Integers
  78. 78. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 9 Find: (−3) · 4 − 5 · 2 = 13 − 5 · 10 = 8 : (−4) + 14 : 7 = 2 · (−3) − 25 : (−5) = −9 · 2 − 54 : 6 = (−20) · (−9) − 11 · 7 − 81 : 9 =Alberto Pardo Milan´s e Integers
  79. 79. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 9 Find: (−3) · 4 − 5 · 2 =−12 − 10 = −22 13 − 5 · 10 =13 − 50 = −37 8 : (−4) + 14 : 7 =−2 + 2 = 0 2 · (−3) − 25 : (−5) =−6 − (−5) = −1 −9 · 2 − 54 : 6 =−18 − 9 = −27 (−20) · (−9) − 11 · 7 − 81 : 9 =180 − 77 − 2 = 101Alberto Pardo Milan´s e Integers
  80. 80. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 9 Find: (−3) · 4 − 5 · 2 =−12 − 10 = −22 13 − 5 · 10 =13 − 50 = −37 8 : (−4) + 14 : 7 =−2 + 2 = 0 2 · (−3) − 25 : (−5) =−6 − (−5) = −1 −9 · 2 − 54 : 6 =−18 − 9 = −27 (−20) · (−9) − 11 · 7 − 81 : 9 =180 − 77 − 2 = 101Alberto Pardo Milan´s e Integers
  81. 81. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 9 Find: (−3) · 4 − 5 · 2 =−12 − 10 = −22 13 − 5 · 10 =13 − 50 = −37 8 : (−4) + 14 : 7 =−2 + 2 = 0 2 · (−3) − 25 : (−5) =−6 − (−5) = −1 −9 · 2 − 54 : 6 =−18 − 9 = −27 (−20) · (−9) − 11 · 7 − 81 : 9 =180 − 77 − 2 = 101Alberto Pardo Milan´s e Integers
  82. 82. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 9 Find: (−3) · 4 − 5 · 2 =−12 − 10 = −22 13 − 5 · 10 =13 − 50 = −37 8 : (−4) + 14 : 7 =−2 + 2 = 0 2 · (−3) − 25 : (−5) =−6 − (−5) = −1 −9 · 2 − 54 : 6 =−18 − 9 = −27 (−20) · (−9) − 11 · 7 − 81 : 9 =180 − 77 − 2 = 101Alberto Pardo Milan´s e Integers
  83. 83. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 9 Find: (−3) · 4 − 5 · 2 =−12 − 10 = −22 13 − 5 · 10 =13 − 50 = −37 8 : (−4) + 14 : 7 =−2 + 2 = 0 2 · (−3) − 25 : (−5) =−6 − (−5) = −1 −9 · 2 − 54 : 6 =−18 − 9 = −27 (−20) · (−9) − 11 · 7 − 81 : 9 =180 − 77 − 2 = 101Alberto Pardo Milan´s e Integers
  84. 84. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 9 Find: (−3) · 4 − 5 · 2 =−12 − 10 = −22 13 − 5 · 10 =13 − 50 = −37 8 : (−4) + 14 : 7 =−2 + 2 = 0 2 · (−3) − 25 : (−5) =−6 − (−5) = −1 −9 · 2 − 54 : 6 =−18 − 9 = −27 (−20) · (−9) − 11 · 7 − 81 : 9 =180 − 77 − 2 = 101Alberto Pardo Milan´s e Integers
  85. 85. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 10 Write an integer beside each sentence: Mary hikes at a height of two thousand and twenty metres above sea level: Luis earns e1070 a month: An Alfa class submarine can operate at 1300 meters: The plane flies three thousand metres high: The temperature outside is five degrees Celsius bellow zero:Alberto Pardo Milan´s e Integers
  86. 86. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 10 Write an integer beside each sentence: Mary hikes at a height of two thousand and twenty metres above sea level: +2020 Luis earns e1070 a month:+1070 An Alfa class submarine can operate at 1300 meters: −1300 The plane flies three thousand metres high:+3000 The temperature outside is five degrees Celsius bellow zero:−5Alberto Pardo Milan´s e Integers
  87. 87. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 10 Write an integer beside each sentence: Mary hikes at a height of two thousand and twenty metres above sea level: +2020 Luis earns e1070 a month:+1070 An Alfa class submarine can operate at 1300 meters: −1300 The plane flies three thousand metres high:+3000 The temperature outside is five degrees Celsius bellow zero:−5Alberto Pardo Milan´s e Integers
  88. 88. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 10 Write an integer beside each sentence: Mary hikes at a height of two thousand and twenty metres above sea level: +2020 Luis earns e1070 a month:+1070 An Alfa class submarine can operate at 1300 meters: −1300 The plane flies three thousand metres high:+3000 The temperature outside is five degrees Celsius bellow zero:−5Alberto Pardo Milan´s e Integers
  89. 89. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 10 Write an integer beside each sentence: Mary hikes at a height of two thousand and twenty metres above sea level: +2020 Luis earns e1070 a month:+1070 An Alfa class submarine can operate at 1300 meters: −1300 The plane flies three thousand metres high:+3000 The temperature outside is five degrees Celsius bellow zero:−5Alberto Pardo Milan´s e Integers
  90. 90. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 10 Write an integer beside each sentence: Mary hikes at a height of two thousand and twenty metres above sea level: +2020 Luis earns e1070 a month:+1070 An Alfa class submarine can operate at 1300 meters: −1300 The plane flies three thousand metres high:+3000 The temperature outside is five degrees Celsius bellow zero:−5Alberto Pardo Milan´s e Integers
  91. 91. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 11 Thales of Miletus was born in 624 b.C, and he lived 78 years. Find out the year of his death.Alberto Pardo Milan´s e Integers
  92. 92. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 11 Thales of Miletus was born in 624 b.C, and he lived 78 years. Find out the year of his death. Data: He was born in −624. He lived 78 years. −624 + 78 = −546 Answer: He died in 546 b.C.Alberto Pardo Milan´s e Integers
  93. 93. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 11 Thales of Miletus was born in 624 b.C, and he lived 78 years. Find out the year of his death. Data: He was born in −624. He lived 78 years. −624 + 78 = −546 Answer: He died in 546 b.C.Alberto Pardo Milan´s e Integers
  94. 94. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 11 Thales of Miletus was born in 624 b.C, and he lived 78 years. Find out the year of his death. Data: He was born in −624. He lived 78 years. −624 + 78 = −546 Answer: He died in 546 b.C.Alberto Pardo Milan´s e Integers
  95. 95. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 12 Parts of Death Valley in California are below sea level. A hiker starts at an elevation of 12 feet below sea level. Then she hikes to an elevation that is 8 feet above sea level. How many feets does she hike?Alberto Pardo Milan´s e Integers
  96. 96. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 12 Parts of Death Valley in California are below sea level. A hiker starts at an elevation of 12 feet below sea level. Then she hikes to an elevation that is 8 feet above sea level. How many feets does she hike? Data: She starts at −12m. She hikes to +8m. −12+ =8 8 + 12 = 20 Answer: She hikes 20m.Alberto Pardo Milan´s e Integers
  97. 97. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 12 Parts of Death Valley in California are below sea level. A hiker starts at an elevation of 12 feet below sea level. Then she hikes to an elevation that is 8 feet above sea level. How many feets does she hike? Data: She starts at −12m. She hikes to +8m. −12+ =8 8 + 12 = 20 Answer: She hikes 20m.Alberto Pardo Milan´s e Integers
  98. 98. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 12 Parts of Death Valley in California are below sea level. A hiker starts at an elevation of 12 feet below sea level. Then she hikes to an elevation that is 8 feet above sea level. How many feets does she hike? Data: She starts at −12m. She hikes to +8m. −12+ =8 8 + 12 = 20 Answer: She hikes 20m.Alberto Pardo Milan´s e Integers
  99. 99. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 13 Jackie buys three identical shirts in different colors. She has to pay e3.24 in taxes. The total amount she pays is e57.24. What is the cost of each shirt without the taxes?Alberto Pardo Milan´s e Integers
  100. 100. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 13 Jackie buys three identical shirts in different colors. She has to pay e3.24 in taxes. The total amount she pays is e57.24. What is the cost of each shirt without the taxes? Data: She buys three shirts. She pays e3.24 in taxes. She pays e57.24 in total. 57.24 − 3.24 = 54 54 : 3 = 18 Answer: Each shirt costs e18.Alberto Pardo Milan´s e Integers
  101. 101. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 13 Jackie buys three identical shirts in different colors. She has to pay e3.24 in taxes. The total amount she pays is e57.24. What is the cost of each shirt without the taxes? Data: She buys three shirts. She pays e3.24 in taxes. She pays e57.24 in total. 57.24 − 3.24 = 54 54 : 3 = 18 Answer: Each shirt costs e18.Alberto Pardo Milan´s e Integers
  102. 102. Indice Sets of Numbers The number line Add and subtract Multiply and divide Exercises Exercises Exercise 13 Jackie buys three identical shirts in different colors. She has to pay e3.24 in taxes. The total amount she pays is e57.24. What is the cost of each shirt without the taxes? Data: She buys three shirts. She pays e3.24 in taxes. She pays e57.24 in total. 57.24 − 3.24 = 54 54 : 3 = 18 Answer: Each shirt costs e18.Alberto Pardo Milan´s e Integers
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