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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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)

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

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

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

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.

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 =

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

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