Download ADDING

• 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
1
3
+
4
7
1 +
3
7 +
21
4
7
12
21
Remember common denominator to
add fractions
1 + 4
3 7
7 + 12
21 21
19
21
Remember common denominator to
add fractions
Positive + Positive = Positive
-2 + 3
5 4
-2 + 3
5 4
-8 + 15
20 20
Negative + Positive ( BIGGER NUMBER)
-2 + 3
5 4
-8 + 15
20 20
COMMON DENOMINATOR TO ADD
FRACTIONS
-2 + 3
5 4
-8 + 15
20 20
7
20
15 – 8 = 7
( KEEP THE SIGN OF THE LARGER NUMBER)
-4 + 1
6 3
-4 +
6
-4 +
6
1
3
2
6
Negative ( BIGGER NUMBER) + Positive
-4 +
6
-4 +
6
1
3
2
6
COMMON DENOMINATOR TO ADD FRACTIONS
-4 + 1
6 3
-4 + 2
6 6
-2
6
4–2=2
( KEEP THE SIGN OF THE LARGER NUMBER)
-4 + 1
6 3
-4 + 2
6 6
-2 = -1
6
3
LOWEST TERMS
-5 + -1
9 2
-5 + -1
9 2
-10 + -9
18 18
NEGATIVE + NEGATIVE = NEGATIVE
-5 + -1
9 2
-10 + -9
18 18
COMMON DENOMINATOR TO ADD FRACTIONS
-5 + -1
9 2
-10 + -9
18 18
-19
18
10 + 9 = 19
( KEEP THE SIGN OF THE LARGER NUMBER)
-5 + -1
9 2
CHANGE IMPROPER TO MIXED
-10 + -9
18 18
-19 = -1 1
18
18
• We need to remember that
ORDER matters when you
subtract numbers.
• If the BIGGER number is FIRST then the
result = POSITIVE
3
4
-
1
3
• If the BIGGER number is FIRST then the
result = POSITIVE
3 4
912
1
3
4
12
COMMON DENOMINATOR TO
SUBTRACT FRACTIONS
• If the BIGGER number is FIRST then the
result = POSITIVE
3 4
912
1
3
4 = 5
12 12
• If the BIGGER number is SECOND then
the result = NEGATIVE
1
3
-
3
4
• If the BIGGER number is SECOND then
the result = NEGATIVE
1 -3
3 4
4- 9
12 12
COMMON DENOMINATOR TO
SUBTRACT FRACTIONS
• If the BIGGER number is SECOND then
the result = NEGATIVE
1 -3
9–4=5
3 4
4 - 9 = -5
12 12 12
( KEEP SIGN OF THE
LARGER NUMBER)
Negative – Positive
= Negative + Negative.
Which means you add the opposite
-3 - 1 = -3 + -1
4 5
4 5
-3 - 1
4 5
-3 + -1
4 5
ADD THE OPPOSITE
-3 - 1
4 5
-3 + -1
4 5
-15 + -4
20 20
COMMON DENOMINATOR TO
SUBTRACT FRACTIONS
-3 - 1
4 5
15 + 4 = 19
-3 + -1
4 5
-15 + -4 = -19
20 20
20
(KEEP THE SIGN OF THE
LARGER NUMBER)
POSITIVE – NEGATIVE
= POSITIVE + POSITIVE
= POSITIVE
Which means you add the opposite
3 - -1
4 5
POSITIVE – NEGATIVE = POSITIVE
3 - -1
4 5
3+ 1
4 5
ADD THE OPPOSITE
3 - -1
4 5
3+ 1
4 5
15 + 4
20 20
COMMON DENOMINATOR TO
SUBTRACT FRACTIONS
3 - -1
4 5
15 + 4 = 19
3+ 1
4 5
POSITIVE – NEGATIVE =
15 + 4 = 19 POSITIVE
20 20 20
(KEEP THE SIGN OF THE
LARGER NUMBER)
-3
4
-
-1
5
•If the BIGGER number is FIRST
then the result = NEGATIVE
-3
4
-3
4
-
+
-1
5
1
5
•If the BIGGER number is FIRST
then the result = NEGATIVE
ADD THE OPPOSITE
-3 - -1
4 5
-3 + 1
4 5
-15 + 4
20 20
•If the BIGGER number is FIRST
then the result = NEGATIVE
COMMON DENOMINATOR TO
SUBTRACT FRACTIONS
•If the BIGGER number is FIRST
-3 - -1
then the result = NEGATIVE
4 5
-3 + 1
4 5
-15 + 4 = -11 15 - 4 = 11
20 20 20
(KEEP THE SIGN
OF THE LARGER NUMBER)