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How to add,subtract, and multiply distributive property
I am working on adding, subtracing, and multiplying distributive property. I am confused because i do not know what steps to take in order to do each problem
10/22/2012 | Lando from Chicago, IL | 2 Answers | 0 Votes
Distributive Property
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2 ANSWERS
David H.
Colorado Springs, CO
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The distributive property allows us to simplify equations.
The following is a simple problem that shows how we can use the distributive property:
A florist is selling flower arrangements with 4 lilies and 3 roses. If John bought 5 arrangements, how many of each flower would he have?
5 x (4 + 3)
The distributive property says that we can distribute the 5 and simplify this to 5 x 4 + 5 x 3. By multiplying you would get 20 lilies and 15 roses or 35 flowers total.
If we do not distribute the 5, we would get 5 x 4 + 3. 20 lilies and 3 roses or 23 flowers total.
The distributive property works the exact same way with subtraction, but remember, you only distribute to the numbers inside the parentheses. Variables can be distributed the same way.
with subtractions, one must take great care. For example 5-3*(6-2) = 5-3*6+3*2. Note that the rule that the product of two negatives is a positive was used. A common mistake is to say that the expression equals 5-3*6-3*2.
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While the question is vague, this may help.
The Order of Operations is the priority in which you perform operations in mathematics. The order of operation is:
- Do operations within parentheses first,
- Exponents
- Multiplication and Division, Left to right, as you encounter them
- Addition and Subtraction, Left to right, as you encounter them
An example:
5(4+2)2(1+3) - 3(6-3)(7+1)2 =
Work the parentheses, and keep everything else unchanged: 5(4+2)2(1+3) - 3(6-3)(7+1)2 =5 (6)2(4) - 3(3)(8)2
Now your exponents: 5 (6)2(4) - 3(3)(8)2 = 5 (36)(4) - 3(3)(64)
Now Multiplication, Left to right: 5 (36)(4) - 3(3)(64) = 720 - 576
Now Addition and Subtraction, left to right: 720 - 576 = 144
Until you get used to it, feel free to do only one operation at a time, even if multiple instances appear in the same line, such as working with our parentheses in the example above:
5(4+2)2(1+3) - 3(6-3)(7+1)2 = 5(6)2(1+3) - 3(6-3)(7+1)2 =5(6)2(4) - 3(6-3)(7+1)2 and so on.
Answer:
Part A = C
Part B = 1/12
Step-by-step explanation:
Part A= this is because you need all the outcomes from the coin and from the dice joined together .
Part B= Because there is only one outcome that shows how you get a head on the coin and 6 on the dice.
Answer:
the area is 20 in
Step-by-step explanation:
3 times 4 is 12. since we used 3 inches out of the 11, we can only multiply the 8 inches with 1. 8 times 1 is 8. 12+8=20.
Answer:
Total distance traveled = 10000 meters
Step-by-step explanation:
1000 meters = 1 kilometers
Hence 8 kilometers = 8000 meters and 1.5 kilometers = 1500 meters
Total distance traveled = 10000 meters
Answer:
r = 5 ft
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
We are given the circumference
10 *pi = 2 * pi *r
Divide each side by 2 *pi
10 pi/ 2 pi = 2*pi*r/2pi
5 =r