POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive +...
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Transcript of POSITIVE AND NEGATIVE NUMBERS LESSON 6. ADDING INTEGERS Positive + Positive = Positive Positive +...
POSITIVE AND POSITIVE AND NEGATIVE NEGATIVE NUMBERSNUMBERS
LESSON 6LESSON 6
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
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.
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
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.
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.
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
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.
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.
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
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.
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.
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
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
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
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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