9-3 Adding Integers
       Math Notes
     Number Sense 2.1
+   -
Find 6 + 10
+      -
      Find 6 + 10
Think of walking on a number line.
+        -
              Find 6 + 10
       Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
+         -
                   Find 6 + 10
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




- 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
+         -
                   Find 6 + 10
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




- 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
+         -
                   Find 6 + 10
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

    STEP 1: Walk forward 6 steps for positive 6.
+         -
                   Find 6 + 10
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

    STEP 1: Walk forward 6 steps for positive 6.
+         -
                   Find 6 + 10
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

    STEP 1: Walk forward 6 steps for positive 6.
  STEP 2: Walk backward 10 steps for negative 10.
+         -
                   Find 6 + 10
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

    STEP 1: Walk forward 6 steps for positive 6.
  STEP 2: Walk backward 10 steps for negative 10.
+         -
                   Find 6 + 10
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

    STEP 1: Walk forward 6 steps for positive 6.
  STEP 2: Walk backward 10 steps for negative 10.
+         -
                   Find 6 + 10
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

    STEP 1: Walk forward 6 steps for positive 6.
  STEP 2: Walk backward 10 steps for negative 10.
                      You end up at -4
+   -
Find 6 + 10
+       -
 Find 6 + 10
OR you can draw it out...
+       -
 Find 6 + 10
OR you can draw it out...
STEP 1: Draw six positives
+       -
 Find 6 + 10
OR you can draw it out...
STEP 1: Draw six positives

++++++
+       -
 Find 6 + 10
OR you can draw it out...
STEP 1: Draw six positives

++++++
STEP 2: Draw ten negatives
+       -
  Find 6 + 10
 OR you can draw it out...
STEP 1: Draw six positives

++++++
- ---------
STEP 2: Draw ten negatives
+       -
        Find 6 + 10
       OR you can draw it out...
       STEP 1: Draw six positives

    ++++++
    - ---------
       STEP 2: Draw ten negatives
STEP 3: When you have a + and a -, they
         cancel each other out.
+       -
        Find 6 + 10
       OR you can draw it out...
       STEP 1: Draw six positives

    ++++++
    - ---------
       STEP 2: Draw ten negatives
STEP 3: When you have a + and a -, they
         cancel each other out.
+       -
         Find 6 + 10
        OR you can draw it out...
        STEP 1: Draw six positives

     ++++++
     - ---------
        STEP 2: Draw ten negatives
 STEP 3: When you have a + and a -, they
          cancel each other out.
ANSWER: What are you left with?
+       -
         Find 6 + 10
        OR you can draw it out...
        STEP 1: Draw six positives

     ++++++
     - ---------
        STEP 2: Draw ten negatives
 STEP 3: When you have a + and a -, they
          cancel each other out.
ANSWER: What are you left with?      -4
-         +
                    Find 2 + 6
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




- 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
-         +
                    Find 2 + 6
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

   STEP 1: Walk backward 2 steps for negative 2.
-         +
                    Find 2 + 6
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

   STEP 1: Walk backward 2 steps for negative 2.
-         +
                    Find 2 + 6
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

   STEP 1: Walk backward 2 steps for negative 2.
    STEP 2: Walk forward 6 steps for positive 6.
-         +
                    Find 2 + 6
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

   STEP 1: Walk backward 2 steps for negative 2.
    STEP 2: Walk forward 6 steps for positive 6.
-         +
                    Find 2 + 6
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

   STEP 1: Walk backward 2 steps for negative 2.
    STEP 2: Walk forward 6 steps for positive 6.
-         +
                    Find 2 + 6
           Think of walking on a number line.
  You are ALWAYS facing right and starting at zero (0)




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

   STEP 1: Walk backward 2 steps for negative 2.
    STEP 2: Walk forward 6 steps for positive 6.
                      You end up at +4
-       +
  Find 2 + 6
OR you can draw it out...
-       +
   Find 2 + 6
 OR you can draw it out...
STEP 1: Draw two negatives
-       +
   Find 2 + 6
 OR you can draw it out...
STEP 1: Draw two negatives

  --
-       +
   Find 2 + 6
 OR you can draw it out...
STEP 1: Draw two negatives

  --
 STEP 2: Draw six positives
-       +
   Find 2 + 6
 OR you can draw it out...
STEP 1: Draw two negatives

  - ++ + + +
  + -
 STEP 2: Draw six positives
-       +
         Find 2 + 6
       OR you can draw it out...
      STEP 1: Draw two negatives

         - ++ + + +
         + -
        STEP 2: Draw six positives
STEP 3: When you have a + and a -, they
         cancel each other out.
-       +
         Find 2 + 6
       OR you can draw it out...
      STEP 1: Draw two negatives

         - ++ + + +
         + -
        STEP 2: Draw six positives
STEP 3: When you have a + and a -, they
         cancel each other out.
-       +
          Find 2 + 6
        OR you can draw it out...
       STEP 1: Draw two negatives

          - ++ + + +
          + -
         STEP 2: Draw six positives
 STEP 3: When you have a + and a -, they
          cancel each other out.
ANSWER: What are you left with?
-       +
          Find 2 + 6
        OR you can draw it out...
       STEP 1: Draw two negatives

          - ++ + + +
          + -
         STEP 2: Draw six positives
 STEP 3: When you have a + and a -, they
          cancel each other out.
ANSWER: What are you left with?       +4
9-3 Adding Integers
9-3 Adding Integers
9-3 Adding Integers
9-3 Adding Integers
9-3 Adding Integers
9-3 Adding Integers
9-3 Adding Integers
9-3 Adding Integers

9-3 Adding Integers

  • 1.
    9-3 Adding Integers Math Notes Number Sense 2.1
  • 2.
    + - Find 6 + 10
  • 3.
    + - Find 6 + 10 Think of walking on a number line.
  • 4.
    + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0)
  • 5.
    + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
  • 6.
    + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
  • 7.
    + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk forward 6 steps for positive 6.
  • 8.
    + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk forward 6 steps for positive 6.
  • 9.
    + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk forward 6 steps for positive 6. STEP 2: Walk backward 10 steps for negative 10.
  • 10.
    + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk forward 6 steps for positive 6. STEP 2: Walk backward 10 steps for negative 10.
  • 11.
    + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk forward 6 steps for positive 6. STEP 2: Walk backward 10 steps for negative 10.
  • 12.
    + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk forward 6 steps for positive 6. STEP 2: Walk backward 10 steps for negative 10. You end up at -4
  • 13.
    + - Find 6 + 10
  • 14.
    + - Find 6 + 10 OR you can draw it out...
  • 15.
    + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives
  • 16.
    + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++
  • 17.
    + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ STEP 2: Draw ten negatives
  • 18.
    + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives
  • 19.
    + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives STEP 3: When you have a + and a -, they cancel each other out.
  • 20.
    + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives STEP 3: When you have a + and a -, they cancel each other out.
  • 21.
    + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives STEP 3: When you have a + and a -, they cancel each other out. ANSWER: What are you left with?
  • 22.
    + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives STEP 3: When you have a + and a -, they cancel each other out. ANSWER: What are you left with? -4
  • 23.
    - + Find 2 + 6 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
  • 24.
    - + Find 2 + 6 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk backward 2 steps for negative 2.
  • 25.
    - + Find 2 + 6 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk backward 2 steps for negative 2.
  • 26.
    - + Find 2 + 6 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk backward 2 steps for negative 2. STEP 2: Walk forward 6 steps for positive 6.
  • 27.
    - + Find 2 + 6 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk backward 2 steps for negative 2. STEP 2: Walk forward 6 steps for positive 6.
  • 28.
    - + Find 2 + 6 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk backward 2 steps for negative 2. STEP 2: Walk forward 6 steps for positive 6.
  • 29.
    - + Find 2 + 6 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0) - 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10 STEP 1: Walk backward 2 steps for negative 2. STEP 2: Walk forward 6 steps for positive 6. You end up at +4
  • 30.
    - + Find 2 + 6 OR you can draw it out...
  • 31.
    - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives
  • 32.
    - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives --
  • 33.
    - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives -- STEP 2: Draw six positives
  • 34.
    - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives
  • 35.
    - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives STEP 3: When you have a + and a -, they cancel each other out.
  • 36.
    - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives STEP 3: When you have a + and a -, they cancel each other out.
  • 37.
    - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives STEP 3: When you have a + and a -, they cancel each other out. ANSWER: What are you left with?
  • 38.
    - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives STEP 3: When you have a + and a -, they cancel each other out. ANSWER: What are you left with? +4