Question

Order of Operation- PEMDAS Tutorial

Answer 1

Today, I will be taking you through the basics of how to solve problems using PEMDAS.

Answer 2

First off, you must know what PEMDAS Stands for:

Answer 3

\(\huge\color{navy}{{P~STANDS~FOR~PARENTHESIS}}\)

Answer 4

\(\huge\color{navy}{{E~STANDS~FOR~EXPONENTS}}\)

Answer 5

\(\huge\color{navy}{{M~STANDS~FOR~MULTIPLYING}}\)

Answer 6

\(\huge\color{navy}{{D~STANDS~FOR~DIVISION}}\)

Answer 7

\(\huge\color{navy}{{A~STANDS~FOR~ADDITION}}\)

Answer 8

\(\huge\color{navy}{{S~STANDS~FOR~SUBTRACTION}}\)

Answer 9

Together these steps creates

\(\huge\color{red}{{PEMDAS}}\)

Answer 10

So now we have a bunch of terms, but how do we put these into action? You might be asking...

Answer 11

It’s quite simple. My example of a problem that requires the Order of operation is provided below!

Answer 12

Let’s say you’re given the problem,

\[(2*5)^2/10*5+5-10\]

Answer 13

The first thing you would do is use the first step of the Order of Operation which is Parenthesis:

\[(2*5)^2/10*5+5-10\]

\[10^2/10*5+5-10 \]

Answer 14

So now once you simplify the parenthesis you move in to the next step which is Exponents:

\[(2*5)^2/10*5+5-10\]

\[10^2/10*5+5-10 \]

\[100/10*5+5-10\]

Answer 15

The next step you have to do is multiply and divide from Left to right:

\[(2*5)^2/10*5+5-10\]

\[10^2/10*5+5-10 \]

\[100/10*5+5-10\]

\[10*5+5-10\]

Answer 16

Now Multiply.

\[(2*5)^2/10*5+5-10\]

\[10^2/10*5+5-10 \]

\[100/10*5+5-10\]

\[10*5+5-10\]

\[50+5-10\]

Answer 17

After you do that you add and subtract from left to right:

\[(2*5)^2/10*5+5-10\]

\[10^2/10*5+5-10 \]

\[100/10*5+5-10\]

\[10*5+5-10\]

\[50+5-10\]

\[55-10\]

Answer 18

Subtract.

\[(2*5)^2/10*5+5-10\]

\[10^2/10*5+5-10 \]

\[100/10*5+5-10\]

\[10*5+5-10\]

\[50+5-10\]

\[55-10\]

\[45\]

Answer 19

Therefore your final answer to this problem would be 45. \(\huge\color{olive}{{☺}}\)

Answer 20

Most people get this process wrong because they don’t follow out the step of PEMDAS. But here’s a little saying to remember the Order of Operation:

Answer 21

\(\huge\color{red}{{Please}}~\huge\color{orange}{{Excuse}}~\huge\color{yellow}{{My}}~\huge\color{green}{{Dear}}~\huge\color{blue}{{Aunt}}~\huge\color{indigo}{{Sally}}\)

Answer 22

If you can remember this quote, you should be able to memorize the steps of the Order Of Operation. Because if you notice the first letter in each word above, spells out PEMDAS!

Answer 23

If you have any questions, feel free to post them here!