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Order of Operations
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Laboratory Mathematics
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Exercises (cont)

d. Evaluate any additions or subtractions from left to right.
e. If an expression is in fractional form, perform stated operations in the
numerator and denominator, then simplify if possible.
Examples:
3 + 10
13
15
15
-------- = ----
------ = ---- = 5
2-4
-2
9-6
3
NOTE:
A good way to remember the order of operations is to use the memory
aid, "Please excuse my dear Aunt Sally." The order for solving algebra
equations is: parenthesis, exponents, multiplication and division, addition and
subtraction.
1-8.
EXERCISES, SECTION I
After you have completed these exercises, turn to the end of the lesson and
check your answers with the solutions.
FIRST REQUIREMENT: Identify the property of real numbers that justifies each of the
following mathematical statements:
a. 2 + (p - 1) = (2 + p) -1
--------------------------------------------------------------------
b. 4 + a = a + 4
--------------------------------------------------------------------
c.
1
------ (7 + e) = 1
7+e
--------------------------------------------------------------------
d. 3 X 1 = 3
--------------------------------------------------------------------
e. r (1 + 8) = r + 8r
--------------------------------------------------------------------
MD0837
1-6

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