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Positive and Negative Numbers

      by Monica Yuskaitis
Definition

• Positive number – a number
  greater than zero.

                0 1 2 3 4 5 6
Definition

• Negative number – a number
  less than zero.

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Definition
• Opposite Numbers – numbers
  that are the same distance from
  zero in the opposite direction

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Definition
• Integers – Integers are all the
  whole numbers and all of their
  opposites on the negative
  number line including zero.

      7    opposite      -7
Negative Numbers Are Used to
    Measure Temperature
Negative Numbers Are Used to
  Measure Under Sea Level
                         30
                         20
                         10
                          0
                        -10
                        -20
                        -30
                        -40
Negative Numbers Are Used to
            Show Debt



Let’s say your parents bought a car but
had to get a loan from the bank for $5,000.
When counting all their money they add
in -$5.000 to show they still owe the bank.
Positive & Negative Numbers
Working with positive and negative
numbers is like driving in traffic.
You have to watch the traffic signs
and follow the driving rules.
Hint
• If you don’t see a negative or
  positive sign in front of a
  number it is positive.


                +9
One Way to Add Integers Is With
          a Number Line
When the number is positive count
   to the right.
When the number is negative count
   to the left.
            -           +
 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
One Way to Add Integers Is With
       a Number Line
          +3 + -5 = -2
                     +
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

                 -
One Way to Add Integers Is With
       a Number Line
         +6 + -4 = +2
                        +
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

                            -
One Way to Add Integers Is With
       a Number Line
         +3 + -7 = -4
                   +
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

              -
One Way to Add Integers Is With
       a Number Line
         -3 + +7 = +4
            -
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

                +
One Way to Add Integers Is With
       a Number Line
          -5 + +3 = +4
          -
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

      +
One Way to Add Integers Is With
       a Number Line
         -2 + +8 = +6
             -
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

                     +
One Way to Add Integers Is With
       a Number Line
         -5 + +2 = -3
          -
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

     +
One Way to Add Integers Is With
       a Number Line
         -4 + -2 = -6
          -
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

   -
One Way to Add Integers Is With
       a Number Line
          -2 + -3 = -5
              -
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

      -
One Way to Add Integers Is With
       a Number Line
         -1 + -4 = -5
              -
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

        -
One Way to Add Integers Is With
       a Number Line
         -4 + -1 = -5
           -
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

    -
One Way to Add Integers Is With
       a Number Line
         4+1= 5
                    +
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

                           +
One Way to Add Integers Is With
       a Number Line
           3+2=5
                    +
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

                         +
One Way to Add Integers Is With
       a Number Line
           1+5= 6
                +
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

                        +
Adding Integers




      +9
Subtracting Integers
8-
8-4=
8-3=
8-2=
8-1=
8-0=


                   +9
8- -1=
8- -2 =
8- -3 =
8 - -4 =
Subtracting Integers
• Adding a negative number is the same as
  subtracting a positive number.
         1 + -5 = 1 - 5
• Subtracting a negative number is the same
  as adding a positive number.

          1 - -5 = 1 + 5
Multiplying Integers
8-
3x3=             -3x3=
3x2=             -3x2=
3x1=             -3x1=
3x0=             -3x0=
3x–1=            -3x–1=


                +9
3x–2=            -3x–2=
3x–3=            -3x–3=
What About Square Numbers
     and Square Roots
           5x5=
            -5 x -5 =
• Therefore what could the answers be for
  square root of 25?

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Integer powerpoint

  • 1. Positive and Negative Numbers by Monica Yuskaitis
  • 2. Definition • Positive number – a number greater than zero. 0 1 2 3 4 5 6
  • 3. Definition • Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 4. Definition • Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 5. Definition • Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. 7 opposite -7
  • 6. Negative Numbers Are Used to Measure Temperature
  • 7. Negative Numbers Are Used to Measure Under Sea Level 30 20 10 0 -10 -20 -30 -40
  • 8. Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add in -$5.000 to show they still owe the bank.
  • 9. Positive & Negative Numbers Working with positive and negative numbers is like driving in traffic. You have to watch the traffic signs and follow the driving rules.
  • 10. Hint • If you don’t see a negative or positive sign in front of a number it is positive. +9
  • 11. One Way to Add Integers Is With a Number Line When the number is positive count to the right. When the number is negative count to the left. - + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 12. One Way to Add Integers Is With a Number Line +3 + -5 = -2 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -
  • 13. One Way to Add Integers Is With a Number Line +6 + -4 = +2 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -
  • 14. One Way to Add Integers Is With a Number Line +3 + -7 = -4 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -
  • 15. One Way to Add Integers Is With a Number Line -3 + +7 = +4 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +
  • 16. One Way to Add Integers Is With a Number Line -5 + +3 = +4 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +
  • 17. One Way to Add Integers Is With a Number Line -2 + +8 = +6 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +
  • 18. One Way to Add Integers Is With a Number Line -5 + +2 = -3 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +
  • 19. One Way to Add Integers Is With a Number Line -4 + -2 = -6 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -
  • 20. One Way to Add Integers Is With a Number Line -2 + -3 = -5 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -
  • 21. One Way to Add Integers Is With a Number Line -1 + -4 = -5 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -
  • 22. One Way to Add Integers Is With a Number Line -4 + -1 = -5 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -
  • 23. One Way to Add Integers Is With a Number Line 4+1= 5 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +
  • 24. One Way to Add Integers Is With a Number Line 3+2=5 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +
  • 25. One Way to Add Integers Is With a Number Line 1+5= 6 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +
  • 27. Subtracting Integers 8- 8-4= 8-3= 8-2= 8-1= 8-0= +9 8- -1= 8- -2 = 8- -3 = 8 - -4 =
  • 28. Subtracting Integers • Adding a negative number is the same as subtracting a positive number. 1 + -5 = 1 - 5 • Subtracting a negative number is the same as adding a positive number. 1 - -5 = 1 + 5
  • 29. Multiplying Integers 8- 3x3= -3x3= 3x2= -3x2= 3x1= -3x1= 3x0= -3x0= 3x–1= -3x–1= +9 3x–2= -3x–2= 3x–3= -3x–3=
  • 30. What About Square Numbers and Square Roots 5x5= -5 x -5 = • Therefore what could the answers be for square root of 25?