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Published byUrsula Cain Modified over 8 years ago

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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

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1313 + 4747

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1313 + 4747 7 21 + 12 21 Remember common denominator to add fractions

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1313 + 4747 7 21 + 12 21 Remember common denominator to add fractions 19 21 Positive + Positive = Positive

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-2 5 + 3434

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-2 5 + 3434 -8 20 15 20 + Negative + Positive ( BIGGER NUMBER)

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-2 5 + 3434 -8 20 15 20 + COMMON DENOMINATOR TO ADD FRACTIONS

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-2 5 + 3434 -8 20 15 20 + 7 20 15 – 8 = 7 ( KEEP THE SIGN OF THE LARGER NUMBER)

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-4 6 + 1313

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-4 6 + 1313 -4 6 2 6 + Negative ( BIGGER NUMBER) + Positive

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-4 6 + 1313 -4 6 2 6 + COMMON DENOMINATOR TO ADD FRACTIONS

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-4 6 + 1313 -4 6 2 6 + -2 6 4 – 2 = 2 ( KEEP THE SIGN OF THE LARGER NUMBER)

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-4 6 + 1313 -4 6 2 6 + -2 6 = 3 LOWEST TERMS

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-5 9 + 2

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-5 9 + 2 -10 18 -9 18 + NEGATIVE + NEGATIVE = NEGATIVE

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-5 9 + 2 -10 18 -9 18 + COMMON DENOMINATOR TO ADD FRACTIONS

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-5 9 + 2 -10 18 -9 18 + -19 18 10 + 9 = 19 ( KEEP THE SIGN OF THE LARGER NUMBER)

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-5 9 + 2 -10 18 -9 18 + -19 18 = 1 18 CHANGE IMPROPER TO MIXED

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ORDERWe need to remember that ORDER matters when you subtract numbers.

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BIGGERFIRST POSITIVEIf the BIGGER number is FIRST then the result = POSITIVE 3434 - 1313

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3434 - 1313 9 12 4 12 - COMMON DENOMINATOR TO SUBTRACT FRACTIONS

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BIGGERFIRST POSITIVEIf the BIGGER number is FIRST then the result = POSITIVE 3434 - 1313 9 12 4 12 - = 5 12

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BIGGERSECOND NEGATIVEIf the BIGGER number is SECOND then the result = NEGATIVE 1313 - 3434

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1313 - 3434 9 12 4 12 - COMMON DENOMINATOR TO SUBTRACT FRACTIONS

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BIGGERSECOND NEGATIVEIf the BIGGER number is SECOND then the result = NEGATIVE 1313 - 3434 9 12 4 12 - = -5 12 9 – 4 = 5 9 – 4 = 5 ( KEEP SIGN OF THE LARGER NUMBER)

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– Negative – Positive + = Negative + Negative. add the opposite Which means you add the opposite -3 4 1515 -3 4 5 = - +

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-3 4 1515 - -3 4 5 + ADD THE OPPOSITE

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-3 4 1515 - -3 4 5 + -15 20 + -4 20 COMMON DENOMINATOR TO SUBTRACT FRACTIONS

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-3 4 1515 - -3 4 5 + -15 20 + -4 20 = -19 20 15 + 4 = 19 (KEEP THE SIGN OF THE LARGER NUMBER)

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POSITIVE – NEGATIVE = POSITIVE + POSITIVE = POSITIVE add the opposite Which means you add the opposite

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3434 5 - POSITIVE – NEGATIVE = POSITIVE

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3434 5 - 3434 1515 + ADD THE OPPOSITE

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3434 5 - 3434 1515 + 15 20 4 20 + COMMON DENOMINATOR TO SUBTRACT FRACTIONS

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3434 5 - 3434 1515 + 15 20 4 20 + = 19 20 15 + 4 = 19 (KEEP THE SIGN OF THE LARGER NUMBER) POSITIVE – NEGATIVE = POSITIVE

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-3 4 5 - BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

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-3 4 5 - -3 4 1515 + ADD THE OPPOSITE BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

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-3 4 5 - -3 4 1515 + -15 20 4 20 + COMMON DENOMINATOR TO SUBTRACT FRACTIONS BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

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-3 4 5 - -3 4 1515 + -15 20 4 20 + = -11 20 15 - 4 = 11 (KEEP THE SIGN OF THE LARGER NUMBER) BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

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