Respuesta :
Please Excuse My Dear Aunt Sally... this is a good way to remember the acronym PEMDAS which tells you the order of operations in an equation. First you do what's in parentheses, then exponents, multiplication, division, addition, and finally subtraction.
11+5+3×2+8×1 =
With only addition and multiplication you multiply first...
11+5 + 6 + 8 =
Now just add across
30
11+5+3×2+8×1 =
With only addition and multiplication you multiply first...
11+5 + 6 + 8 =
Now just add across
30
The correct answer is: 30
Explanation:
To perform mathematical operations, you have to follow the following rules:
1. Parenthesis has the highest precedence when evaluating the expression. It means that anything that is within the parenthesis should be solved first.
2. Exponents have the second precedence.
3. Multiplications and Divisions have the third precedence. As you can see, both are at the same level, the expression in which both of them are involved should be solved using left to right approach--meaning whatever comes first from the left should be solved first and then the second.
4. Additions and subtractions have the fourth precedence. As you can see, both are at the same level, the expression in which both of them are involved should be solved using left to right approach--meaning whatever comes first from the left should be solved first and then the second.
Now keeping above rules in mind, solve 11+5+3x2+8x1:
Step-1:
There are two "multiplies," now we have to first apply left to right approach as follows:
11 + 5 + 6 + 8x1 (as 3x2 = 6)
Step-2:
Now the other multiply operation:
11 + 5 + 6 + 8 (as 8x1 = 8)
Step 3:
Now all operators are "Additions," so apply left to right rule one by one to get the answer:
16 + 6 + 8 (as 11+5=16)
22 + 8 ( as 16+6 = 22)
30 (as 22+8=30)
The correct answer is: 30
NOTE: Shortcut to remember the precedence is: PEMDAS (But MD are at the same precedence, likewise AS).