Pre-Algebra : Multiplication and Division
Study concepts, example questions & explanations for Pre-Algebra
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Example Questions
Example Question #1 : Multiplication And Division
Express in degrees: 
Since 
Example Question #2 : Multiplication And Division
Suppose you know the values of 
In which order would you carry out the four operations in the expression?
Multiply, subtract, add, divide
Multiply, add, subtract, divide
Divide, multiply, subtract, add
Subtract, add, multiply, divide
Add, subtract, multiply, divide
Multiply, subtract, add, divide
A fraction bar in an expression acts as both a division symbol and a grouping symbol, so we evaluate the numerator first. Within the numerator, there is a multplication, a subtraction, and an addition, so, by order of operations, we multiply first. Addition and subtraction are carried out right to left; the subtraction is left of the addition, so we subtract next, then add. Finally, we divide the numerator by the denominator.
In summary: Multiply, subtract, add, divide
Example Question #182 : Operations And Properties
Simplify the following as far as possible:
If we use the foil method we get the following:
First:
Inner:
Outer:
Last:
If that is simplified we're left wiht
Example Question #3 : Multiplication And Division
Simplify:
The whole operation is squared, so to better understand how to solve it it can be rewritten as:
Using order of operations we get the following:
First:
Inner:
Outer:
Last:
When this is simplified we have
Example Question #3 : Multiplication And Division
Simplify:
The equation can be rewritten as 
First the foil method should be used, leaving us with:
Then the 2 can be distributed to each of the factors inside the parentheses. Leaving the solution:
Example Question #5 : Multiplication And Division
Which expression simplifies to
First:
Inner:
Outer:
Last:
Example Question #6 : Multiplication And Division
What expression simplifies to
When simplified using the FOIL method 
First:
Inner:
Outer:
Last:
When the 2 is distributed and the expression simplified we are left with
Example Question #4 : Multiplication And Division
A salesman for a car dealership earns 12% commission on all sales. What will be his commission for a week if he sells three cars that week - a $55,000 SUV on Tuesday, a $28,000 car on Thursday, and a $42,000 van on Friday?
The total sale price of the cars he sells will be
12% of $125,000 is
which is the salesman's commission.
Example Question #2 : Multiplication And Division
Read the following problem but do not solve it.
Acording to Mr. Smith's will, when he dies, each of his six children is to be left a parcel of land 510 acres in area. If these six parcels make up all of the farm, then how large is Mr. Smith's farm now?
Which of the following expressions must be evaluated in order to answer this question?
There are six parcels of equal size; the total size is therefore the product of the common size (510 acres) and the number of parcels (6). This is
Example Question #5 : Multiplication And Division
Beck has 5 pairs of the same style of shoe, called the "button up." Each shoe has 6 buttons. How many buttons are there on Becky's "button up" shoe collection?
If Beck has 5 pairs of shoes, that means he has 10 shoes because there are 2 shoes in a pair.
Since each shoe has 6 buttons, that means that there are 60 buttons in the collection.
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