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Page 1: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

POSITIVE AND POSITIVE AND NEGATIVE NEGATIVE NUMBERSNUMBERS

LESSON 6LESSON 6

Page 2: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING INTEGERSADDING INTEGERS

Positive + Positive = PositivePositive + Positive = Positive ( +3) + (+2) = +5( +3) + (+2) = +5

When a number is positive, you When a number is positive, you do not have to use the (+) sign.do not have to use the (+) sign.

(+3) + (+2) = 5(+3) + (+2) = 5

Page 3: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING TWO NEGATIVE ADDING TWO NEGATIVE NUMBERSNUMBERS

Negative + Negative = Negative + Negative = NegativeNegative

(- 6) + (- 3) = (- 6) + (- 3) = - 9- 9

When a number is NEGATIVE, When a number is NEGATIVE, you do have to use the (-) sign.you do have to use the (-) sign.

Page 4: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING POSITIVE AND ADDING POSITIVE AND NEGATIVE INTEGERS NEGATIVE INTEGERS

Sum of a negative and a positive Sum of a negative and a positive number - Keep the sign of the number - Keep the sign of the larger number and larger number and subtractsubtract

EXAMPLE 1:EXAMPLE 1:

(- 6) + 3 = -(- 6) + 3 = -33

COPY DOWN QUESTIONCOPY DOWN QUESTION

Page 5: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING POSITIVE AND ADDING POSITIVE AND NEGATIVE INTEGERS NEGATIVE INTEGERS

Sum of a negative and a positive Sum of a negative and a positive number - Keep the sign of the number - Keep the sign of the larger number and larger number and subtractsubtract

EXAMPLE 1:EXAMPLE 1:

(- 6) + 3 = -(- 6) + 3 = -33

COPY DOWN QUESTIONCOPY DOWN QUESTION

6 – 3 = 36 – 3 = 3 Subtract the numbers Subtract the numbers without negative signs.without negative signs.

Page 6: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING POSITIVE AND ADDING POSITIVE AND NEGATIVE INTEGERS NEGATIVE INTEGERS

Sum of a negative and a positive Sum of a negative and a positive number - Keep the sign of the number - Keep the sign of the larger number and larger number and subtractsubtract

EXAMPLE 1:EXAMPLE 1:

(- 6) + 3 = -(- 6) + 3 = -33

COPY DOWN QUESTIONCOPY DOWN QUESTION

6 – 3 = 36 – 3 = 3 Subtract the numbers Subtract the numbers without negative signs.without negative signs.

= = -3-3 Keep the sign of the Keep the sign of the larger number.larger number.

Page 7: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING POSITIVE AND ADDING POSITIVE AND NEGATIVE INTEGERS NEGATIVE INTEGERS

Sum of a negative and a positive Sum of a negative and a positive number - Keep the sign of the number - Keep the sign of the larger number and larger number and subtractsubtract

EXAMPLE 2:EXAMPLE 2:

9 + (-12) = - 9 + (-12) = - 33

COPY DOWN QUESTIONCOPY DOWN QUESTION

Page 8: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING POSITIVE AND ADDING POSITIVE AND NEGATIVE INTEGERS NEGATIVE INTEGERS

Sum of a negative and a positive Sum of a negative and a positive number - Keep the sign of the number - Keep the sign of the larger number and larger number and subtractsubtract

EXAMPLE 2:EXAMPLE 2:

9 + (-12) = - 9 + (-12) = - 33

COPY DOWN QUESTIONCOPY DOWN QUESTION

12 – 9 = 312 – 9 = 3 Subtract the numbers Subtract the numbers without negative signs.without negative signs.

Page 9: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING POSITIVE AND ADDING POSITIVE AND NEGATIVE INTEGERS NEGATIVE INTEGERS

Sum of a negative and a positive Sum of a negative and a positive number - Keep the sign of the number - Keep the sign of the larger number and larger number and subtractsubtract

EXAMPLE 2:EXAMPLE 2:

9 + (-12) = - 9 + (-12) = - 33

COPY DOWN QUESTIONCOPY DOWN QUESTION

12 – 9 = 312 – 9 = 3 Subtract the numbers Subtract the numbers without negative signs.without negative signs.

= -3= -3 Keep the sign of the Keep the sign of the larger number.larger number.

Page 10: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING POSITIVE AND ADDING POSITIVE AND NEGATIVE INTEGERS NEGATIVE INTEGERS

Sum of a negative and a positive Sum of a negative and a positive number - Keep the sign of the number - Keep the sign of the larger number and larger number and subtractsubtract

EXAMPLE 3:EXAMPLE 3:

(- 5) + 7 = 2(- 5) + 7 = 2 COPY DOWN QUESTIONCOPY DOWN QUESTION

Page 11: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING POSITIVE AND ADDING POSITIVE AND NEGATIVE INTEGERS NEGATIVE INTEGERS

Sum of a negative and a positive Sum of a negative and a positive number - Keep the sign of the number - Keep the sign of the larger number and larger number and subtractsubtract

EXAMPLE 3:EXAMPLE 3:

(- 5) + 7 = 2(- 5) + 7 = 2 COPY DOWN QUESTIONCOPY DOWN QUESTION

7 – 5 = 27 – 5 = 2 Subtract the numbers Subtract the numbers without negative signs.without negative signs.

Page 12: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDING POSITIVE AND ADDING POSITIVE AND NEGATIVE INTEGERS NEGATIVE INTEGERS

Sum of a negative and a positive Sum of a negative and a positive number - Keep the sign of the number - Keep the sign of the larger number and larger number and subtractsubtract

EXAMPLE 3:EXAMPLE 3:

(- 5) + 7 = 2(- 5) + 7 = 2 COPY DOWN QUESTIONCOPY DOWN QUESTION

7 – 5 = 27 – 5 = 2 Subtract the numbers Subtract the numbers without negative signs.without negative signs.

= 2= 2 Keep the sign of the Keep the sign of the larger number.larger number.

Page 13: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

SUBTRACTING INTEGERSSUBTRACTING INTEGERS

Negative - Positive = NegativeNegative - Positive = Negative (same as adding two negative (same as adding two negative

numbers)numbers) (- 8) - 3 = -8 + (-3) = -11(- 8) - 3 = -8 + (-3) = -11

Another way of saying this:Another way of saying this: ADD THE OPPOSITEADD THE OPPOSITE (- 8) - (- 8) - 33 = -8 + = -8 + (-3)(-3) = -11 = -11

Page 14: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

SUBTRACTING INTEGERSSUBTRACTING INTEGERS

Positive - Negative = Positive + Positive - Negative = Positive + Positive = PositivePositive = Positive

4 - (-3) = 4 + 3 = 7 4 - (-3) = 4 + 3 = 7

Once again you are adding the Once again you are adding the oppositeopposite

4 - 4 - (-3)(-3) = 4 = 4 ++ 33 = 7 = 7

Page 15: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

SUBTRACTING INTEGERSSUBTRACTING INTEGERS

Negative - Negative = Negative Negative - Negative = Negative + Positive =+ Positive =

Keep the sign of the larger number Keep the sign of the larger number and subtract and subtract

(-7) - (-5) = ( -7) + 5 = -2(-7) - (-5) = ( -7) + 5 = -2 (-5) - ( -7) = (-5) + 7 = 2(-5) - ( -7) = (-5) + 7 = 2

Page 16: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

TRY THESETRY THESE

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2)1) (+6) + (-2) 1) (7) – (2)1) (7) – (2)

2) (+7) + 32) (+7) + 3 2) (+8) – (-2)2) (+8) – (-2)

3) (-5) + (+2)3) (-5) + (+2) 3) (-9) – (+3)3) (-9) – (+3)

4) (-6) – (-2)4) (-6) – (-2)

Page 17: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2)1) (7) – (2)

2) (+7) + 32) (+7) + 3 2) (+8) – (-2)2) (+8) – (-2)

3) (-5) + (+2)3) (-5) + (+2) 3) (-9) – (+3)3) (-9) – (+3)

4) (-6) – (-2)4) (-6) – (-2)

Page 18: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2)1) (7) – (2)

2) (+7) + 3 2) (+7) + 3 = 10= 10 2) (+8) – (-2)2) (+8) – (-2)

3) (-5) + (+2)3) (-5) + (+2) 3) (-9) – (+3)3) (-9) – (+3)

4) (-6) – (-2)4) (-6) – (-2)

Page 19: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

TRY THESETRY THESE

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2)1) (7) – (2)

2) (+7) + 3 2) (+7) + 3 = 10= 10 2) (+8) – (-2)2) (+8) – (-2)

3) (-5) + (+2) 3) (-5) + (+2) = -3= -3 3) (-9) – (+3)3) (-9) – (+3)

4) (-6) – (-2)4) (-6) – (-2)

Page 20: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2) 1) (7) – (2) = 5= 5

2) (+7) + 3 2) (+7) + 3 = 10= 10 2) (+8) – (-2)2) (+8) – (-2)

3) (-5) + (+2) 3) (-5) + (+2) = -3= -3 3) (-9) – (+3)3) (-9) – (+3)

4) (-6) – (-2)4) (-6) – (-2)

Page 21: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2) 1) (7) – (2) = 5= 5

2) (+7) + 3 2) (+7) + 3 = 10= 10 2) (+8) – (-2)2) (+8) – (-2)

= (+8) + (+2)= (+8) + (+2)

3) (-5) + (+2) 3) (-5) + (+2) = -3= -3 3) (-9) – (+3)3) (-9) – (+3)

4) (-6) – (-2)4) (-6) – (-2)

Page 22: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2) 1) (7) – (2) = 5= 5

2) (+7) + 3 2) (+7) + 3 = 10= 10 2) (+8) – (-2)2) (+8) – (-2)

= (+8) + (+2)= (+8) + (+2)

= 10= 10

3) (-5) + (+2) 3) (-5) + (+2) = -3= -3 3) (-9) – (+3)3) (-9) – (+3)

4) (-6) – (-2)4) (-6) – (-2)

Page 23: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2) 1) (7) – (2) = 5= 5

2) (+7) + 3 2) (+7) + 3 = 10= 10 2) (+8) – (-2)2) (+8) – (-2)

= (+8) + (+2)= (+8) + (+2)

= 10= 10

3) (-5) + (+2) 3) (-5) + (+2) = -3= -3 3) (-9) – (+3)3) (-9) – (+3)

= (-9) + (-3)= (-9) + (-3)

4) (-6) – (-2)4) (-6) – (-2)

Page 24: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2) 1) (7) – (2) = 5= 5

2) (+7) + 3 2) (+7) + 3 = 10= 10 2) (+8) – (-2)2) (+8) – (-2)

= (+8) + (+2)= (+8) + (+2)

= 10= 10

3) (-5) + (+2) 3) (-5) + (+2) = -3= -3 3) (-9) – (+3)3) (-9) – (+3)

= (-9) + (-3)= (-9) + (-3)

= - 12= - 12

4) (-6) – (-2)4) (-6) – (-2)

Page 25: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2) 1) (7) – (2) = 5= 5

2) (+7) + 3 2) (+7) + 3 = 10= 10 2) (+8) – (-2)2) (+8) – (-2)

= (+8) + (+2)= (+8) + (+2)

= 10= 10

3) (-5) + (+2) 3) (-5) + (+2) = -3= -3 3) (-9) – (+3)3) (-9) – (+3)

= (-9) + (-3)= (-9) + (-3)

= - 12= - 12

4) (-6) – (-2)4) (-6) – (-2)

= (-6) + (2)= (-6) + (2)

Page 26: POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) =

ADDADD SUBTRACTSUBTRACT

1) (+6) + (-2) 1) (+6) + (-2) = 4= 4 1) (7) – (2) 1) (7) – (2) = 5= 5

2) (+7) + 3 2) (+7) + 3 = 10= 10 2) (+8) – (-2)2) (+8) – (-2)

= (+8) + (+2)= (+8) + (+2)

= 10= 10

3) (-5) + (+2) 3) (-5) + (+2) = -3= -3 3) (-9) – (+3)3) (-9) – (+3)

= (-9) + (-3)= (-9) + (-3)

= - 12= - 12

4) (-6) – (-2)4) (-6) – (-2)

= (-6) + (2)= (-6) + (2)

= -4= -4


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