Order+of+Operations

Which child has the correct answer? Do we solve from left to right? or do we do something differently?
==The girl on the right has the right answer. The correct answer is 11. Why? Because of the rules called the Order of Operations  and here they are: ==   Student 1, the boy performed the operation of addition first, then multiplication; whereas student 2 performed multiplication first, then addition. When performing arithmetic operations there can be only one correct answer. We need a set of rules in order to avoid this kind of confusion. Mathematicians have devised a standard order of operations for calculations involving more than one arithmetic operation.


 * Rule 1: || First perform any calculations inside parentheses. ||
 * Rule 2: || Next perform all multiplications and divisions, working from left to right. ||
 * Rule 3: || Lastly, perform all additions and subtractions, working from left to right. ||

 If you know these rules then you can solve any equation that has more than one arithmetic operation:

Try these:

 For the answers to these problems see the Answer Key Page.
 * 1) 1. (4 + 2) - 1 = ??
 * 2) 2 + 5 x 2 = ??
 * 3) 2 x 6 - 3 x 2 = ??
 * 4) 1 + 7 x 0 + 5 x (1 x 2) = ??
 * 5) <span style="font-family: arial,helvetica,sans-serif;">(3 x 2) - (2 x 1) = ??
 * 6) <span style="font-family: arial,helvetica,sans-serif;">4 x 5 - 5 x 2 + 1 = ??
 * 7) <span style="font-family: arial,helvetica,sans-serif;">7 + (3 x 2) - 5 = ??
 * 8) <span style="font-family: arial,helvetica,sans-serif;">2 x 10 - ( 5 x 1) x 3 = ??