0
0
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
Mark favorite Subscribe Comment
Tutors, please sign in to answer this question.
2 ANSWERS
David H.
Colorado Springs, CO
0
0
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.
0
0
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.
375 because if you do 27x25=675 then I did 675-300=375.
So if my math is correct 375 feet is not covered by the woodworking equipment
Answer:
72 sq. mi
Step-by-step explanation:
Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.
Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.
Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.
