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K7 & K8 September 06, 2014
Positives/NegativesDecimalsFractions
Multiplying/DividingK7
K7 & K8 September 06, 2014
Multiplication Rules
NegativeTIMESNegative
Negative TIMES Positive
PNPPositive
TIMESPositive
Positive TIMES Negative
Multiplying/DividingK7
K7 & K8 September 06, 2014
3 8 = 244 (-7) = -28-2 6 = -12-10 (-91) = 910-2 3 (-4) (-5) = -6 (-4) (-5)
= 24 (-5)= - 120
ExamplesMultiplying/Dividing
K7
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..
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Multiplication Rules
. . ..
K7 & K8 September 06, 2014
-24 - 6 = -4 -12 - (-4) = 3 6 - (-3) = -2
DIVISION +/-
SAME RULES
Examples
as multiplication!
Multiplying/DividingK7
....
..
K7 & K8 September 06, 2014
Decimals Multiplication
FORGET the DECIMALS
Example 1(1.3)(0.75)
Total the DECIMAL PLACES
Multiplying/DividingK7
13 75 = 975 May use any method to multiply:
long multiplication, lattice, etc.
Step 1:.
Step 2:
Final answer will have the same amount of decimal places as the two original
numbers combined
(1.3)(0.75)3 total decimal places in the original values
.975
(1.3)(0.75) = .975
K7 & K8 September 06, 2014
Decimals Multiplication
FORGET the DECIMALS
Example 2Total the DECIMAL PLACES
Multiplying/DividingK7
-7 314 = 2198 May use any method to multiply:
long multiplication, lattice, etc.
Step 1:.
Step 2:
Final answer will have the same amount of decimal places as the two original
numbers combined
(-7)(0.3.14)2 total decimal places in the original values
21.98
(- 7)(3.14 )
(- 7)(3.14 ) = 21.98
K7 & K8 September 06, 2014
LONG DIVISION
Example 1 244 - 1.2
"KICK" the decimal
Multiplying/DividingK7 Decimals Division
..
244 1.2 . .0. 0002
-24
-004
0
4 0
3
- 3 64 0
.
- 3 64 0
33
- 3 640
repeating decimal...
244 - 1.2 = 203.3 ..
...
K7 & K8 September 06, 2014
Use LONG DIVISION
Example 2The quotient of 67.3 and 5
Means: 67.3 - 5YOU TRY!
(Check your final answer on your calculator)
"KICK" the decimal
Multiplying/DividingK7 Decimals Division
..
K7 & K8 September 06, 2014
Fractions Multiplication
• Step 1: Multiply the tops (the numerators) to get the new numerator
• Step 2: Multiply the bottoms (the denominators) to get the new denominator.
• Step 3: Simplify the fraction (if needed)
3 Steps:Multiplying/Dividing
K7
K7 & K8 September 06, 2014
Change to MULTIPLICATION
"Stay, Times, Reciprocal"
Fractions Division Multiplying/DividingK7
To get the RECIPROCAL, switch the NUMERATOR and
DENOMINATOR
K7 & K8 September 06, 2014
Example 1
Fractions Division Multiplying/DividingK7
1 32 4-- -.. =-. 1 4
2 3- = - -=46
32
K7 & K8 September 06, 2014
Example 2
Fractions Division Multiplying/DividingK7
= - .57 -= -= 42
5--..-6 --..-6 1
57 --6
175
K7 & K8 September 06, 2014
Example 3
Fractions Division Multiplying/DividingK7
= - .-= -= 8 9-..-8 --..-8
1-9 1 --8
1 1-9(-9)
K7 & K8 September 06, 2014
Distributive PropertyK8
K7 & K8 September 06, 2014
Distributive Property
+
+
Distributive PropertyK8
K7 & K8 September 06, 2014
Distributive Property
-+ +
+ - +
Distributive PropertyK8
K7 & K8 September 06, 2014
Distributive Property
..Do NOT Distribute!
Distributive PropertyK8
K7 & K8 September 06, 2014
Distributive Property Distributive PropertyK8
Example 1-8(x-4)
-8x-(-32)-8x + 32
K7 & K8 September 06, 2014
Distributive Property Distributive PropertyK8
Example 2a(2b+(-c)-3d)2ab + (-ac) - 3ad
2ab - ac - 3ad
K7 & K8 September 06, 2014
Distributive Property Distributive PropertyK8
Example 3-( x2 + 5x - (-7) )
-x2 + (-5x) - 7-x2 - 5x - 7
