Division of Rational Numbers
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
When dividing a negative number and
a positive number, use the sign of the
larger number.
1.
True
2.
False
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
Basically, you are flipping the fraction!
We will use the multiplicative inverses
for dividing fractions.
Which statement is false about
reciprocals?
1.
Reciprocals are also called
additive inverses
2.
A number and its reciprocal
have same signs
3.
If you flip a number, you get
the reciprocal
4.
The product of a number and
its reciprocal is 1
When dividing fractions, change
division to multiplying by the reciprocal.
What is the quotient of
-21 ÷ -3?
1.
18
2.
-18
3.
7
4.
-7
1.
.
2.
.
3.
.
4.
.
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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Presentation Transcript
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
Examples 3 4 5 8 1) When dividing fractions, change division to multiplying by the reciprocal. = 6 3 4 8 = 24 5 20 5
What is the quotient of -21 -3? 1. 18 2. -18 3. 7 4. -7 Answer Now
1 5 10 3 = ? . 2 1. 3 2 3 3 50 . 2. . 3. . 3 4. 50 Answer Now
