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| Math Camp Highlights Order of Operations |
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If multiplication, division, powers, addition, parentheses, etc are
contained in one problem, the order of operations is as follows:
1. Parentheses
2. Powers
3. Multiplication*
4. Division*
* Whichever comes first from left to right
5. Addition*
6. Subtraction*
* Whichever comes first from left to right
Example: Simplify the following
(a) 6+4x3
6 + 12 (multiplication)
18 (then addition)
(b) 10 - 3 x 6+10 + (6+1) x 4
10 - 3 x 6 + 10 + (7) x 4 (parentheses first)
10 - 3 x 6 + 100 + (7) x 4 (powers next)
10 - 18 + 100 + 28 multiplication)
-8 + 100 + 28 (addition/subtraction left to right)
92 + 28 = 120
contained in one problem, the order of operations is as follows:
1. Parentheses
2. Powers
3. Multiplication*
4. Division*
* Whichever comes first from left to right
5. Addition*
6. Subtraction*
* Whichever comes first from left to right
Example: Simplify the following
(a) 6+4x3
6 + 12 (multiplication)
18 (then addition)
(b) 10 - 3 x 6+10 + (6+1) x 4
10 - 3 x 6 + 10 + (7) x 4 (parentheses first)
10 - 3 x 6 + 100 + (7) x 4 (powers next)
10 - 18 + 100 + 28 multiplication)
-8 + 100 + 28 (addition/subtraction left to right)
92 + 28 = 120
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