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Signed Numbers

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Signed Numbers

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    1. Signed Numbers Understanding and Computing with Signed Numbers

    2. Signed Numbers Positive Numbers 5 +21 Negative Numbers -5 (2.5) Zero

    4. Number Arrows Number arrows also allow you to represent numbers graphically.

    5. Signed Numbers Addition

    6. Add Using Number Arrows 1 of 4 2 + 6

    8. Add Using Number Arrows 3 of 4 -4 + 9

    9. Add Using Number Arrows 4 of 4 2 + (-6)

    10. Signed Numbers Add using the Addition Rules

    11. Addition Rules 1 of 2 Addition Rule 1 - When adding two or more numbers with the same sign, ignore the signs, add the numbers, and give the answer the sign of the original numbers.

    13. Addition Rules 1 of 3 Addition Rule 2 - When adding two numbers which have different signs, ignore the signs, subtract the smaller number from the larger number, and give the answer the sign of the larger number.

    16. Signed Numbers Subtraction

    17. Reading the notation The symbol takes on different meanings depending upon how it is used: 9 negative nine 7 2 seven minus two 4 2 negative four minus two 10 ( 4) negative ten minus negative four

    18. We already know how to add 3 + 5 = -4 + (-8) = 7 + (-13) =

    19. Subtract Subtract. 15 8 = 5 11 = -6 (-3) =

    21. Subtracting: Another Visual Strategy Cash: Green IOUs: Red

    22. Subtracting Signed Numbers It is possible to turn the subtraction problem into an addition problem by: Adding the opposite Use the addition rules you already know. 5 (-3) = 5 + (+3) = -12 (-5) = -12 + (+5) =

    24. Signed Numbers Multiplication

    25. Multiplication Multiplication Rules Both numbers being multiplied have the same sign: Answer is Positive 6 x 9 = -7 x (-2) =

    26. Multiplication Multiplication Rules Each of the numbers being multiplied have different signs: Answer is Negative 5 x (-3) = -2 x (8) =

    27. Multiplication Strings Multiplication strings (-4)(3)(5)(-2) = (-7)(-1)(5)(-4) =

    28. Division Division Rules Both numbers being divided have the same sign: Answer is Positive 45 ? 5 = -15 ? (-3) =

    29. Division Division Rules Both numbers being divided have the different signs: Answer is Negative -45 ? 5 = 15 ? (-3) =

    30. Practice Handout: Signed Number Inventory (pages 14 & 15) MathXL

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