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ADDITION
AND SUBTRACTION
OF INTEGERS
The University of Texas at Dallas
Introduce symbols
+ (plus)
- (minus)
ADDING INTEGERS
We can model integer addition with tiles.
Represent -2 with the fewest number of
tiles
Represent +5 with the fewest number of
tiles.
The University of Texas at Dallas
ADDING INTEGERS
What number is represented by combining
the 2 groups of tiles?
Write the number sentence that is
illustrated.
-2 + +5 = +3
The University of Texas at Dallas
+3
ADDING INTEGERS
Use your red and yellow tiles to find each sum.
-2 + -3 = ?
The University of Texas at Dallas
ANSWER
+ = -5
-2 + -3 = -5
ADDING INTEGERS
The University of Texas at Dallas
-6 + +2 = ?
+ = - 4
+ = +1
-3 + +4 = ?
ANSWER
ANSWER
-6 + +2 = -4
-3 + +4 = +1
Addition Rule
1) When the signs are the same,
ADD and keep the sign.
(-2) + (-4) = -6
2) When the signs are different,
SUBTRACT and use the sign of the
bigger number.
(-2) + 4 = 2
2 + (-4) = -2
-1 + 3 = ?
1. -4
2. -2
3. 2
4. 4
Answer Now
Negative one plus three is equal to two.
-6 + (-3) = ?
1. -9
2. -3
3. 3
4. 9
Answer Now
Negative six plus negative three is equal to
negative nine.
Karaoke Time!
Addition Rule: Sung to the tune of
“Row, row, row, your boat”
Same sign, keep and add!
Different sign: subtract,
Take the sign of the bigger number,
Then you will be exact!
Let’s Go
When subtracting, change the
subtraction to adding the opposite
(keep-change-change) and then follow
your addition rule.
Example #1: - 4 - (-7)
- 4 + (+7)
Diff. Signs --> Subtract and use larger sign.
3
Example #2: - 3 - 7
- 3 + (-7)
Same Signs --> Add and keep the sign.
-10
Which is equivalent to
-12 – (-3)?
Answer Now
1. 15
2. -9
3. -15
4. 9
Negative twelve minus
negative three is equal to
negative nine.
7 – (-2) = ?
Answer Now
1. -9
2. -5
3. 5
4. 9
Seven minus
negative two is equal to nine.

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Addition and subtraction integers

  • 1. ADDITION AND SUBTRACTION OF INTEGERS The University of Texas at Dallas
  • 3. ADDING INTEGERS We can model integer addition with tiles. Represent -2 with the fewest number of tiles Represent +5 with the fewest number of tiles. The University of Texas at Dallas
  • 4. ADDING INTEGERS What number is represented by combining the 2 groups of tiles? Write the number sentence that is illustrated. -2 + +5 = +3 The University of Texas at Dallas +3
  • 5. ADDING INTEGERS Use your red and yellow tiles to find each sum. -2 + -3 = ? The University of Texas at Dallas ANSWER + = -5 -2 + -3 = -5
  • 6. ADDING INTEGERS The University of Texas at Dallas -6 + +2 = ? + = - 4 + = +1 -3 + +4 = ? ANSWER ANSWER -6 + +2 = -4 -3 + +4 = +1
  • 7. Addition Rule 1) When the signs are the same, ADD and keep the sign. (-2) + (-4) = -6 2) When the signs are different, SUBTRACT and use the sign of the bigger number. (-2) + 4 = 2 2 + (-4) = -2
  • 8. -1 + 3 = ? 1. -4 2. -2 3. 2 4. 4 Answer Now Negative one plus three is equal to two.
  • 9. -6 + (-3) = ? 1. -9 2. -3 3. 3 4. 9 Answer Now Negative six plus negative three is equal to negative nine.
  • 10. Karaoke Time! Addition Rule: Sung to the tune of “Row, row, row, your boat” Same sign, keep and add! Different sign: subtract, Take the sign of the bigger number, Then you will be exact! Let’s Go
  • 11. When subtracting, change the subtraction to adding the opposite (keep-change-change) and then follow your addition rule. Example #1: - 4 - (-7) - 4 + (+7) Diff. Signs --> Subtract and use larger sign. 3 Example #2: - 3 - 7 - 3 + (-7) Same Signs --> Add and keep the sign. -10
  • 12. Which is equivalent to -12 – (-3)? Answer Now 1. 15 2. -9 3. -15 4. 9 Negative twelve minus negative three is equal to negative nine.
  • 13. 7 – (-2) = ? Answer Now 1. -9 2. -5 3. 5 4. 9 Seven minus negative two is equal to nine.