Hey Nekia,
This math problem involves knowledge and application of math's order of operations.
So let's look at what this involves >
In this particular case, the three different operations used are {1} Parentheses, {2} Division, and {3} Addition. You can use the acronym "PEMDAS" (easily remembered by the phrase "Please Excuse My Dear Aunt Sally") to help with questions regarding the order of operations, where P = Parentheses, E = Exponents, M = Multiplication, D = Division, A = Addition, and S = Subtraction. This acronym tells us the ranks of operation: where parentheses outrank exponents, which outrank multiplication and division (but note that multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together at the bottom rank). If/when you have several operations of the same rank, like in the equation '1 + 2 + 3 - 4 + 5 = x', you simply operate from left to right... yielding x = 7 as the solution. Okay! This gives us a fundamental understanding of what we're dealing with.
Now let's apply this knowledge to the problem at hand >
Our equation is as follows: 34691 / (3533 + 3493) / 2 = x ... so our first job is to work within the parentheses.
- Step 1: (3533 + 3493) = 7026 ... now our second job is to re--write our original equation.
- Step 2: 34691 / 7026 / 2 = x ... at this point our third job is to divide from left to right using this new equation.
- Step 3: 34691 / 7026 / 2 = x = 2.468758895530885 ... and that's our answer... but hold on...
Your teacher may have given you instruction to round your answer to a certain decimal place, say the hundredths place, which in this case would give us the following solution: x = 2.47... always be sure to read the directions before starting any assignment!
I hope you found this answer to be both helpful and thorough. Best of luck with your studies!
