Question 670073
Explain how the order of operations determines how you evaluate an algebraic expression. Be sure to explain the rules for addition, subtraction, multiplication, division, and the use of grouping symbols. Use examples to illustrate your points.
---------
Use 4 scans of the problem from left to right.
1st scan: evaluate parentheses
2nd scan: apply exponents
3rd scan: multipy/divide as they occur from left to right
4th scan: add/subtract as they occur from left to right
-----------
Example:
(3-4)^2 - 4*(3/5)+(7-4)^3
------
1st scan: (-1)^2-4*(3/5)+3^2
------
2nd scan: 1-4*(3/5) + 9
------
3rd scan 1-(12/5) + 9
------
45h scan: 10-(12/5) = 38/5
Final = 7 3/5
====================
Cheers,
Stan H.