Tuesday, January 16, 2018

Middle School Math Solutions – Order of Operations Calculator

Given a problem like, 3×5-2, you might be wondering “how do I solve this?” since there are two possible ways.

Option 1: (3×5)-2=15-2=13

Option 2: 3×(5-2)=3×3=9

This is where the order of operations comes in, since there is only one correct answer.

The order of operations are rules that tell us which operation to perform first when calculating an algebraic expression.

Here is the order of operations:

1.  Parentheses
2.  Exponents
3.  Multiplication and Division (from left to right)
4.  Addition and Subtraction (from left to right)

When calculating an algebraic expression, go down the order of operations, starting with parentheses, and perform the operations that apply.

There is an acronym used to remember the order of operations, PEMDAS (parentheses, exponents, multiplication, division, subtraction, and addition). The phrase “Please Excuse My Dear Aunt Sally” is also used to help remember the order by using the first letter of each word.

Looking back at the problem above and knowing the order of operations, we now can see that the answer is 13, option 1.

Let’s see some examples using the order of operations.

First example (click here):

                                                              8×5-(6+10)÷2

1. Calculate within parentheses

                                                               =8×5-16÷2
We simplified what was in the parentheses.
2. Multiplication and Division (from left to right)

                                                               =40-16÷2
                                                               =40-8
We multiplied and divided starting from the left of the expression, making our way to the right.
3. Addition and Subtraction (from left to right)

                                                                 =40-8
                                                                 =32

Next example (click here):

                                                       2×(5×6+2^2 )+(8÷2)

1. Calculate within parentheses – Evaluate (5×6+2^2)

                                                       (5×6+2^2 )=(5×6+4)
                                                                         =(30+4)
                                                                         =34
Make sure you apply the order of operations when calculating inside the parentheses
Now we have: 2×(5×6+2^2 )+(8÷2)=2×34+(8÷2)
2. Calculate within parentheses – Evaluate  (8÷2)

                                                                   8÷2=4
Now we have: 2×34+(8÷2)=2×34+4
3. Multiplication and Division (from left to right)

                                                                =2×34+4
                                                                =68+4

4. Addition and Subtraction (from left to right)

                                                                =68+4
                                                                =72

Last example (click here):

                                                        6+(2(4+2))^2-5^2

1. Calculate within parentheses

                                                        =6+(2(6) )^2-5^2
                                                        =6+12^2-5^2

2. Exponents

                                                           =6+144-5^2
                                                           =6+144-25

3. Addition and Subtraction (from left to right)

                                                            =150-25
                                                            =125

Learning the order of operations is essential in math because they will guide you to the correct answer. For more help or practice with the order of operations, check out Symbolab’s Practice.

Until next time,

Leah

11 comments:

  1. Let this life come and go the natural way it wants. I have no reason to lament about this life because I was the first destination and was chosen to be born on this earth.
    bloons tower defense 5
    super smash flash 2

    ReplyDelete
  2. Writing a coursework can be harsh. Ask professional help from a coursework writing service if you have any problem with doing it.

    ReplyDelete
  3. Great post! I didn’t knowral of these resources and I’m going to go check them out now! angry birds

    ReplyDelete
  4. Our crew of experts have won brilliant information in completing all of your challenge appropriately and inside the asked format. So, grab the nice Paper Help services these days and score high grades.

    ReplyDelete
  5. Your lectures are very detailed. Thanks very much! build royale

    ReplyDelete
  6. As for as you are concerned about downloading the latest version of the GBWhatsApp which is v9.37 then you can get it from our site for free of cost. While most of the users are worried about the security of their smartphone and here I would like to clarify that if you have got a smartphone that is running Android 4.4 or any other later version then you need not worry because Google has got you covered and every time when you will try to install any application your phone will warn you.

    While downloading the application on your smartphone is quite simple and easy. We have given the download links on the top of this page you can simply open these download links and can download the application freely without any worries

    ReplyDelete