Response 1
Parenthesis, exponents, multiplication, division, addition, and subtraction are the order of
operations. The reason that we follow the order of operation rather than the steps is
because we need to solve certain parts of the problem before solving. An example of this
would be 3(3x-5) going from left to right with this problem would not give the same correct
answer (believe me I have done it more than once). Parenthesis in a problem let you know
what part of the problem to address first. In order to solve a problem correctly certain parts
of the problem need to be solved to complete the problem.
Bill wants to know how much he will get after his raise this year he currently makes $17 an
hour and works a 40 hour week. What will his pay be at the end of the week if his raise is x=
2.50?
40(17+x)
Response 2
A real life situation where the order of operations would be necessary could include the
following:
You're working as a cashier and a customer comes up with a loaf of bread for a $1.50 and
four cases of soda at $5.00 each. The expression would be 1.50 + 5 * 4. Without the order
of operations, you would not only be multiplying the price of the case of soda times four, but
you would also be multiplying the price of the bread times four. The cashier would need to
follow the order of operations to make sure they correctly added up the value of the items.
They would need to multiply 5 times 4, and then add 1.50.
Without the order of operations
1.50 + 5*4
6.50 * 4 = 26
Using the order of operations
1.50 + 5 * 4
1.50 + 20 = 21.50
Response 3
I was taught an acronym to remember the order of operation a long time ago and I still
remember it.
Please Excuse My Dear Aunt Sally
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
It is important to follow the order of operations because it keeps everything uniform in even
the most difficult problems. Math is very consistent, no matter how many times you add
2+2 it will always equal 4. The order of operation helps to continue this consistence by
setting up a guideline to follow which helps everyone reach the same conclusion. This order
also helps to simplify a problem, by looking at a complex problem as several smaller steps
rather than one large problem.
Solve: y (5-3)*x (10-4)
Response 4
The order of operations would be PEMDAS or at least that is how I remember it;
Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. It is important
that you follow the order of operations instead of simply working a problem from left to right
because you will get two different answers. In order to get the correct answer you must use
the order of operations.
(14+2x)4=18
Response 5
Back in middle school, I remember my math teacher taught students how to remember the
order of operation by using the expression “please excuse my dear aunt, Sally”. We took
the first letter of each word to help us remember the order of operations; PEMDAS.
Parenthesis, exponents, multiplication, division, addition and, last but not least, subtraction.
The order of operations is important because it gives everyone a standard to follow. With
this standard, you understand what operation needs to be done in the specific order. If we
did not have the order of operations, we would have many different answers for the same
mathematical problem. For example, the problem 10-3+5 completed left to right would have
an answer of 12. However, when you solve the problem using the order of operations, we
understand that addition comes before subtraction. (3+5=8). Now factor in the subtraction
(10-8=2). The correct answer is 2, not 12 as we got completing the problem left to right. The
importance of the order of operations is clearly shown here.
(9+11)*3-2
Response 6
If there was no order of operation, everyone who worked the same problem could get
different answers to the same problem, depending if someone worked left to right or right to
left. For example problem 2+5x5 if someone added first they would get 2+5x52+5=7x5=35 however; if someone used the order operations which is parenthesis,
exponents, multiplication, divide, add, subtract. You would multiply first and then add by the
order of operations you should go left to right using the order of operations so 2+5x5 would
be (5x5)=25 +2=27. The order of operations is an agreement on a set order in which to
work problems so everyone is working them the same way to get the same answer.
Response 7
The step of the order of operation are as follows Parenthesis, exponents, multiplication and
division, addition and subtraction. It is important to follow those steps rather than solve the
problem from left to right due to simply concept and vital correct way of completing and
finding the correct answer. The way I remember the order is by using phase “Please Excuse
My Dear Aunt Sally” which guide you through the six steps threw the order of operations to
find a correct answer. When completing a problem that involves the Order of Operation we
start with simplifying what is inside the parenthesis. But if the problem does not have
parenthesis, we would go to the next step of the Order of operation.
The Step Are Follows to help solve the Problem:
1)
Parenthesis
2)
Exponents
3)
Multiplication and Division
4)
Addition and Subtraction
The following example is as follows:
80(14-6) x 11-5
Response 8
The order of operations is a set of rules for evaluating an expression that states the order in
which operations are to be done. It is important to follow the order of operations when
evaluating an expression, because if one attempts to evaluate an expression working from
left to right the expression will usually not be correct. I have provided the steps of the order
of operations and an example below.
Steps:
1. Evaluate expressions inside grouping symbols, such as parenthesis and brackets.
2. Evaluate powers.
3. Multiply and divide from left to right.
4. Add and subtract from left to right.
Example:
9a – 3b(5 + 7) + 3a + 6b(17 – 5)
Response 9
The only way that I remember that was taught by my elementary school teacher was Please
Excuse My Dear Aunt Sally ( Parenthesis, Exponents, Multiplication, Division, Addition, and
Subtraction. The Order of Operations is a standard that defines the order in which you
should simplify different operations such as addition, subtraction, multiplication and division.
This standard is critical to simplifying and solving different algebra problems. Without it, two
different people may interpret an equation or expression in different ways and come up with
different answers.
12 ÷ 4 + 32
Response 10
The step of the order of operations is. Parenthesis, Exponents, Multiplication, Division,
Addition, and Subtraction. The way I have learned to remember this is please excuse my
dear aunt sally. I know this may sound funny but it does work well. My teacher taught me
this when I was in high school.
If you don't follow the order of operations and do the problem from left to right you will end
up with the wrong answer or answers.
[(4c+6y)]3 - [(8c-3y)] is the expression that I have for my classmates.
Response 11
The order of operations are as followed: parenthesis, exponents, multiplication, division,
addition, and subtraction. I was taught (as I'm sure many of you were too) to remember the
order of operations by the catchy phrase "please excuse my dear aunt sally". The phrase
was made up based on the letters from the acronym P.E.M.D.A.S.. If the order of operations
isn't followed properly, people will come up with different answers each time. The order is
designed to let people to which to solve first. Parenthesis come first, then exponents,
multiplication/division can be done from left to right, and addition/subtraction can also done
from left to right. I say multiplication/division and addition/subtraction can be done from left
to right because I was taught that whichever comes first can be taught since they are
equally important. Correct me if I'm wrong though, it's been a while since I've done math!
Example:
(5^2+12) x 4 + (3^3/2) - 20 = ?
Response 12
The steps in the order of operations are:
1) Perform all calculations within the grouping symbols before operations outside of
grouping symbols
2) Evaluate all exponential expressions
3) Do multiplications and divisions in order from left to right
4) Do additions and subtractions in order from left to right
It is important to follow these steps rather than solve the problem from left to right because
there can only be one correct answer, and carrying out the operations in a different manner
will result in the incorrect answer.
Expression to simplify:
5(2-5)+16(11-8)+27(10-1)
Response 13
When reading about it it stated "When evaluating an expression, proceed in this order:
1. parentheses are done first
2. exponents are done next
3. multiplication and division are done as they are encountered from left to right.
4. addition and subtraction are done "That is, the reason we have these steps is because
mathematical operations (such as addition, subtraction, multiplication and division) have an
"order of precedence"--some are considered more important than others. Multiplication and
division have a higher precedence than (that is, they come before) addition and subtraction.
Exponents and roots come before multiplication and division.
Then, we use parentheses whenever we want to perform a lower-precedence operation
(such as addition) before a higher-precedence operation (such as multiplication).
Response 14
The steps for the order of operations are quite simple but have to be done in a process. The
steps to the order of operations start with applying exponents, this makes it easier for the
multiplication to reduce the number of numbers in the problem.
After we do that we need to look for and multiplication and or distribution so that we can
take the problem to its simplest form. We always have to do the problems in the parenthesis
first so if we need to this is when we would commutative property of addition or
multiplication so that the numbers can be together so we can solve them.
After that we will combine the remaining like terms so that everything will be the same and
so there will be no extra numbers with the same letters in the equation. The last part of the
process would be to reduce anything down to its simplest form.
I think that it is important to follow the steps rather than to solve the problem left to right
because the answer would not be correct and could cause you to become confused. Here is
my expression for the class to solve:
2x(4+3)-3x +5
2x(7)-3x +5
24x-3x+5
21x+5