Remember Lesson 6 when we added Integers – follow the same rules to add rational numbers. Positive + Positive = Positive Positive (Bigger number) + Negative.
Dec 24, 2015
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• Remember Lesson 6 when we added Integers – follow the same rules to add rational numbers.
• Positive + Positive = Positive• Positive (Bigger number) + Negative =
Positive• Positive + Negative (Bigger Number) =
Negative• Negative + Negative = Negative
13
+47
13
+47
721
+ 1221
Remember common denominator to Remember common denominator to add fractionsadd fractions
13
+47
721
+ 1221
Remember common denominator to Remember common denominator to add fractionsadd fractions
1921
Positive + Positive = PositivePositive + Positive = Positive
-2 5
+34
-2 5
+34
-820
1520
+
Negative + Positive ( BIGGER NUMBER)Negative + Positive ( BIGGER NUMBER)
-2 5
+34
-820
1520
+COMMON DENOMINATOR TO ADD COMMON DENOMINATOR TO ADD FRACTIONSFRACTIONS
-2 5
+34
-820
1520
+
720
15 – 8 = 715 – 8 = 7
( KEEP THE SIGN OF THE LARGER NUMBER)( KEEP THE SIGN OF THE LARGER NUMBER)
-4 6
+13
-4 6
+13
-4 6
2 6
+
Negative ( BIGGER NUMBER) + PositiveNegative ( BIGGER NUMBER) + Positive
-4 6
+13
-4 6
2 6
+COMMON DENOMINATOR TO ADD FRACTIONSCOMMON DENOMINATOR TO ADD FRACTIONS
-4 6
+13
-4 6
2 6
+
-2 6
4 – 2 = 24 – 2 = 2
( KEEP THE SIGN OF THE LARGER NUMBER)( KEEP THE SIGN OF THE LARGER NUMBER)
-4 6
+13
-4 6
2 6
+
-2 6
= -1 3
LOWEST TERMSLOWEST TERMS
-5 9
+-1 2
-5 9
+-1 2
-10 18
-918
+
NEGATIVE + NEGATIVE = NEGATIVENEGATIVE + NEGATIVE = NEGATIVE
-5 9
+-1 2
-10 18
-918
+
COMMON DENOMINATOR TO ADD FRACTIONSCOMMON DENOMINATOR TO ADD FRACTIONS
-5 9
+-1 2
-10 18
-918
+
-19 18
10 + 9 = 1910 + 9 = 19
( KEEP THE SIGN OF THE LARGER NUMBER)( KEEP THE SIGN OF THE LARGER NUMBER)
-5 9
+-1 2
-10 18
-918
+
-19 18
= -1-1 118
CHANGE IMPROPER TO MIXEDCHANGE IMPROPER TO MIXED
• We need to remember that ORDERORDER matters when you subtract numbers.
• If the BIGGERBIGGER number is FIRSTFIRST then the result = POSITIVEPOSITIVE
34
- 13
• If the BIGGERBIGGER number is FIRSTFIRST then the result = POSITIVEPOSITIVE
34
- 13
912
412
- COMMON DENOMINATOR TO COMMON DENOMINATOR TO
SUBTRACT FRACTIONSSUBTRACT FRACTIONS
• If the BIGGERBIGGER number is FIRSTFIRST then the result = POSITIVEPOSITIVE
34
- 13
912
412
- = 512
• If the BIGGERBIGGER number is SECONDSECOND then the result = NEGATIVENEGATIVE
13
- 34
• If the BIGGERBIGGER number is SECONDSECOND then the result = NEGATIVENEGATIVE
13
- 34 912
412
-COMMON DENOMINATOR TO COMMON DENOMINATOR TO
SUBTRACT FRACTIONSSUBTRACT FRACTIONS
• If the BIGGERBIGGER number is SECONDSECOND then the result = NEGATIVENEGATIVE
13
- 34 912
412
- = -512
9 – 4 = 59 – 4 = 5 ( KEEP SIGN OF THE LARGER NUMBER)
Negative –– Positive
= Negative ++ Negative.
Which means you add the oppositeadd the opposite
-3 4
15
-3 4
-1 5
=- +
-3 4
15
-
-3 4
-1 5
+
ADD THE OPPOSITEADD THE OPPOSITE
-3 4
15
-
-3 4
-1 5
+
-15 20
+ -420
COMMON DENOMINATOR TO COMMON DENOMINATOR TO
SUBTRACT FRACTIONSSUBTRACT FRACTIONS
-3 4
15
-
-3 4
-1 5
+
-15 20
+ -420
= -19 20
15 + 4 = 1915 + 4 = 19 (KEEP THE SIGN OF THE (KEEP THE SIGN OF THE LARGER NUMBER)LARGER NUMBER)
POSITIVE – NEGATIVE
= POSITIVE + POSITIVE
= POSITIVE
Which means you add the oppositeadd the opposite
34
-1 5
- POSITIVE – NEGATIVE = POSITIVEPOSITIVE – NEGATIVE = POSITIVE
34
-1 5
-
34
15
+ ADD THE OPPOSITEADD THE OPPOSITE
34
-1 5
-
34
15
+
1520
420
+ COMMON DENOMINATOR TO COMMON DENOMINATOR TO
SUBTRACT FRACTIONSSUBTRACT FRACTIONS
34
-1 5
-
34
15
+
1520
420
+ = 1920
15 + 4 = 1915 + 4 = 19 (KEEP THE SIGN OF THE (KEEP THE SIGN OF THE LARGER NUMBER)LARGER NUMBER)
POSITIVE – NEGATIVE = POSITIVE – NEGATIVE = POSITIVEPOSITIVE
-3 4
-1 5
-•If the BIGGERBIGGER number is FIRSTFIRST then the result = NEGATIVENEGATIVE
-3 4
-1 5
-
-3 4
15
+ ADD THE OPPOSITEADD THE OPPOSITE
•If the BIGGERBIGGER number is FIRSTFIRST then the result = NEGATIVENEGATIVE
-3 4
-1 5
-
-3 4
15
+
-15 20
420
+ COMMON DENOMINATOR TO COMMON DENOMINATOR TO
SUBTRACT FRACTIONSSUBTRACT FRACTIONS
•If the BIGGERBIGGER number is FIRSTFIRST then the result = NEGATIVENEGATIVE
-3 4
-1 5
-
-3 4
15
+
-15 20
420
+ =-11 20
15 - 4 = 1115 - 4 = 11 (KEEP THE SIGN (KEEP THE SIGN OF THE LARGER NUMBER)OF THE LARGER NUMBER)
•If the BIGGERBIGGER number is FIRSTFIRST then the result = NEGATIVENEGATIVE
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