Operations and Properties
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Pre-Algebra › Operations and Properties
Simplify the following as far as possible:
Explanation
If we use the foil method we get the following:
First:
Inner:
Outer:
Last:
If that is simplified we're left wiht
Solve:
Explanation
When two negative numbers are being divided, our answer is positive. The quotient is .
Solve:
Explanation
When multiplying with a positive number and a negative numberr, our answer is negative. The product is .
Solve:
Explanation
When two negative numbers are being divided, our answer is positive. The quotient is .
Solve:
Explanation
When dividing a positive number and a negative number, our answer is negative. The quotient is .
Simplify:
Explanation
Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
Solve:
Explanation
When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the division.
Select the equation that reflects the phrase below.
First add and
, then multiply by
.
Explanation
Because we want to add and
first, we need to set that off into parentheses due to the order of operation rules. Then we can multiply by
.
Which of the following statements demonstrates the associative property of addition?
None of the examples in the other responses demonstrates the associative property of addition.
Explanation
The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only
demonstrates this property, so it is the correct choice.
Solve:
Explanation
When solving this problem remember our orders of operation, or PEMDAS.
PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.
Evaluate the quantities inside the parentheses first.