Concepts of Opposites

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    Integers

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    Activity 1

    Each group will be asked to

    say a word (situation,

    adjectives and others.) In

    response, the other group

    shall say the opposite of the

    word said by the precedinggroup.

    OPPOSITE THROWING

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    Activity 2Given Situation Representation Opposite of the

    given situation

    Representation of

    the opposite1. Going up the stairs 7

    steps+ 7 Going down the

    stairs 7 steps- 7

    2. Driving 16 km west

    3. A deposit of P 1000

    4. 32 C above

    freezing point

    5. 30000 ft. above sealevel

    6. Merit of10 points

    7. An increase of P 100in your allowance

    8. Increased by 38

    9. Win by P 1 500

    10. A gain of 82 points

    OPPOSITE REPRESENTATION

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    Definition

    Left

    Right

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    Although only a portion of the

    number line is shown, the

    arrowheads indicate that the lineand the set of numbers continue

    The integer zero is neutral. It is

    neither positive nor negative.

    If a certain number does not have

    any sign, then it is understood to

    be positive.

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    The set of numbers used on the

    number line is called the set of

    integers This set can be written

    {, -3, -2, -1, 0, 1, 2, 3, }

    The number line is made up of 3

    sets of numbers

    Natural numbers 1, 2, 3, 4,

    Whole numbers0,1, 3,

    4,

    Integers , -2, -1, 0, 1, 2,

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    We can use a Venn Diagram to

    represent thee 3 sets of numbersand their relationship to one

    another

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    DO YOU UNDERSTAND?

    Answer the following.

    1. On the number line, what integer is 4 units to

    the left of 0? ___

    2. On the number line, what integer is 3 units tothe right of 2? ___

    3. What two numbers in the number line are a

    dis

    tanc

    e of 4un

    its

    aw

    ay from

    5? ____ & _____4. Which number iscloser to 5 on the number

    line, 2 or -8? ____

    5. Does every integer have an opposite?

    -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

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    DO YOU KNOW HOW?

    Graph the number 6 and 2 on a number line. Use the

    graph to explainwhy 6 is less than 2 and to explain

    why 2 is greater than -6.

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    1) Due north _________

    2) Up _________

    3) Gain _________

    4) Income _________

    5) Deposit _________

    6) Elevation _________

    7) Sunrise _________

    8) Clockwise _________

    9) Accelerating _________

    10) Underweight __________ 10

    Find the opposite of each term real life situation.

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    Represent each of these situations with a signednumber.

    1. 3 steps to the left __________

    2. 20 meters above sea level __________

    3. 30 degrees below 0 __________

    4. Spending P 15.00 in snacks __________

    5. 25 minutes late __________

    6. Salary increase of P 200.00 __________

    7. 13 point less __________ 8. Increase by 2 points __________

    9. A profit of P 20000.00 __________

    10. Gained 25 points __________ 11

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    Name the coordinates of each point.

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    1. F ______

    2. H ______

    3. D ______

    4. C ______ 5. A ______

    -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12

    A B C D E F G H I J K L

    6. L ______ 7. B ______

    8. I ______

    9. K ______

    10. E ______

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    Insert >, < or = on the blanks.

    1. - 5 _____ 5 6. -8 _____ 3

    2. 0 _____ - 1 7. 3 _____ 43. -1 _____ 1 8. 4 _____ - 9

    4. - 4 _____ 4 9. 3 _____ -3

    5. - 2 _____ 8 10. - 7 _____ 2

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