Understanding Division of Rational Numbers

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Explore the rules of dividing rational numbers, including scenarios with negative numbers, reciprocals, and using multiplicative inverses. Examples and practice questions are provided to reinforce understanding.


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  1. 09.06.2017 AGENDA TICKET IN THE DOOR CORNELL NOTES ON DIVIDING RATIONAL NUMBERS GUIDED PRACTICE WRAP UP(Kahoot) TICKET IN THE DOOR 26*(-12) 9*(-23) (-125)*(-2) -2(6+9)

  2. Dividing Rules 1) If the numbers have the same signs then the quotient is positive. -32 (-8 )= 4 2) If the numbers have different signs then the quotient is negative. 81 (-9) = -9

  3. When dividing two negative numbers, the quotient is positive. 1. True 2. False Answer Now

  4. When dividing a negative number and a positive number, use the sign of the larger number. 1. True 2. False Answer Now

  5. a b b a The reciprocal of is where a and b 0. The reciprocal of a number is called its multiplicative inverse. A number multiplied by its reciprocal/multiplicative inverse is ALWAYS equal to 1.

  6. Example #1 7 2. 2 7 The reciprocal of is 2 7 7 2=1 =1 1 Example #2 1 3. The reciprocal of -3 is 1 1 1 3 3 1 =1 =

  7. Basically, you are flipping the fraction! We will use the multiplicative inverses for dividing fractions.

  8. Which statement is false about reciprocals? Reciprocals are also called additive inverses A number and its reciprocal have same signs If you flip a number, you get the reciprocal The product of a number and its reciprocal is 1 1. 2. 3. 4. Answer Now

  9. Examples 3 4 5 8 1) When dividing fractions, change division to multiplying by the reciprocal. = 6 3 4 8 = 24 5 20 5

  10. 1 3 2) 5 10 1 5 10 =10 15 =2 3 3

  11. What is the quotient of -21 -3? 1. 18 2. -18 3. 7 4. -7 Answer Now

  12. 1 5 10 3 = ? . 2 1. 3 2 3 3 50 . 2. . 3. . 3 4. 50 Answer Now

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