When both writing down and reading the algebraic expressions, the binary operation (including addition+, subtraction-, multiply*, divide/, exponential^) follow a conventional order:

0) Parenthesis, including {}, [], ()

1) Exponent, multiply and divide

2) Addition and subtraction

The ordering is 0)>1)>2). Then there is no ordering within each group, eg multiply and divide are at the same level of priority except that 0) comes in such as a parenthesis.

Let's take a look at one quick example: 3+(8-2)*6.

First compute (8-2)=6;

Then compute (8-2)*6=6*6=36;

Finally compute 3+(8-2)*6=3+36=39.

Another example: 3^2+3/(5-2)

First compute (5-2)=3;

Then do 3/(5-3)=3/3=1;

Next compute 3^2=3*3=9;

Finally add 3^2+3/(5-2)=9+1=10.

Hope it helps!

0) Parenthesis, including {}, [], ()

1) Exponent, multiply and divide

2) Addition and subtraction

The ordering is 0)>1)>2). Then there is no ordering within each group, eg multiply and divide are at the same level of priority except that 0) comes in such as a parenthesis.

Let's take a look at one quick example: 3+(8-2)*6.

First compute (8-2)=6;

Then compute (8-2)*6=6*6=36;

Finally compute 3+(8-2)*6=3+36=39.

Another example: 3^2+3/(5-2)

First compute (5-2)=3;

Then do 3/(5-3)=3/3=1;

Next compute 3^2=3*3=9;

Finally add 3^2+3/(5-2)=9+1=10.

Hope it helps!

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