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Explain why its important to use the order of operations when evaluating an algebraic expression. Use an example.

Help:)

2006-11-02 08:19:07 · 9 answers · asked by Anonymous in Science & Mathematics Mathematics

9 answers

(1+1)-2*3/2^2+2

Without useing Order of Operations: 2

With Order of Operations: 2.5

2006-11-02 08:32:25 · answer #1 · answered by futureastronaut1 3 · 0 0

Mathematics is very linguistic and if you use a language incorrectly, it will make no sense.

1 + 3 * 5 = 1 + 15 = 16

if the order is followed incorrectly, you get

1 + 3 * 5 = (1 + 3) * 5 = 4 * 5 = 20

To avoid these kinds of problems, we have introduced the order of operations. It is there so that two people who write the same mathematical expression will mean the same thing.

2006-11-02 16:29:02 · answer #2 · answered by Biznachos 4 · 1 0

As other people have said, the most important reason to use the order of operations is to get the correct answer. This is the order you would follow. You must make the calculations from left to right.

1) Exponents
2) Calculations surrounded by parentheses or brackets.
3) Multiplication and division left to right.
4) Addition and subtraction left to right.

It is a bad idea to implement parentheses in order to understand as this can cause confusion.

2006-11-02 16:32:50 · answer #3 · answered by Billy 1 · 1 0

Okay. Evaluate 3(3x-2y) is x=8, y=3

We know the answer is 3(24-6), 3(18), or 54

now distribute the 3 and you get 9x-6y. Use the same values
9(8) - 6(3)
72 - 6(3) now if you DO NOT use the order of operations

you would do 72-6 first and get

66(3) which is 198

does this help?

2006-11-02 17:19:02 · answer #4 · answered by mom 7 · 0 0

(2x+y)2 with order of operations is 2 times x, add y to that, and multiply that number by 2.
without order of operations, you could mix and match any of the numbers and operations, and your answer would be completely different. Order of operations is the reason formulas like that are possible- there would always be somebody that would multiply every number inside the parentheses by 2 and then do the rest. That would be chaos, and chaos and algebra don't play well together.

2006-11-02 16:30:19 · answer #5 · answered by Theophidian 2 · 0 0

8 x 8 + 72 -6 x 2 is what without Order of Operations?
260
With Order of Operations?
124

PEMDAS
Parenthesis Exponents Multiplication Division Subtraction

2006-11-02 16:24:21 · answer #6 · answered by Nick A 1 · 0 1

because otherwise u'll get a completely wrong answer

for example if u have 3 x 4 + 5 x 8
and if u did it this way : (3 x4 ) + (5x8)
u wud get 52
however, if u did it this way: 3 x (4 + 5) x 8
u wud get 216....

therefore it is very important that u use the order of operations

2006-11-02 16:22:04 · answer #7 · answered by D.P 3 · 0 0

Order of operation

P = Parenthesis
E = exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction

=- - - - - - - - - - -

This order of operation was set up to obtain the exact value.

This order must be performed left to right.

If you deviate from the order of operation the results will be a wrong answer.

- - - - - - -s-

2006-11-02 16:32:53 · answer #8 · answered by SAMUEL D 7 · 2 0

You may get the wrong answer if you don't.

What is 2*3+4?

a) (2*3) +4 = 10
b) 2*(3+4) = 14

The correct answer is a.

2006-11-02 16:24:40 · answer #9 · answered by Lem 5 · 1 0

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