Question

How does order of operations relate to life?

Answer 1

Hint: In the given question we have to identify the relationship between order of operations and real life. So first of all you should know the definition of order of operations I.e.
Order of operations are the rules that say which calculation comes first in an expression.
Those rules are:
 \[1)\] First solve everything inside parentheses: \[(a + b)\]
 \[2)\] Then solve exponents, like \[{a^2},{a^3}\] etc.
 \[3)\] Then solve the multiplication and division from left to right.
 \[4)\] Then solve the addition and subtraction from left to right.
Now you have to find some real life examples where these operations are used.

Complete step by step solution:
In the given question we have to find the relationship between order of operation and real life like how we use the order of operations in our real life.
Now first take a look at the order of operations to solve a mathematical expression:
 \[1)\] First solve everything inside parentheses: \[(a + b)\]
 \[2)\] Then solve exponents, like \[{a^2},{a^3}\] etc.
 \[3)\] Then solve the multiplication and division from left to right.
 \[4)\] Then solve the addition and subtraction from left to right.
Now we have to find an example where we use any of these rules.
Now let’s assume you’re going back to school shopping with your child. He chose a pair of pants that cost \[15\] rupees and five uniform shirts that cost \[12\] rupees each. But there is a discount of \[5\] rupees on pants. So now what’s the total without any tax?
You probably won’t write an equation for this, right? (I wouldn’t.) Instead, you’d probably just do the math in your head or do some calculation or use your calculator. So here goes:
First the shirts: there are five of them at \[12\] rupees each. That’s a total of \[60\] rupees, because \[12 \times 5 = 60\] .
Now for the pants: all you need to do here is subtraction: \[15 - 5 = 10\] The pants total \[10\] rupees.
Finally, you will add the cost of the pants and the cost of the shirts: \[60 + 10 = 70\] rupees.
The above should have been super easy for most of us. And now you will realize that we used the order of operations to do these calculations. Here’s how:
  \[
  (12 \times 5) + (15 - 5) \\
   \Rightarrow 60 + 10 = 70 \;
  \]
Because the order of operations says you must solve the bracket first and then solve the remaining part.
You can find many such examples of use of order of operations in your real life.

Note: Now in order to solve any mathematical expression whether it is complex or simple you have to use these order of operations otherwise you will get the wrong answer. You should learn all the rules of order of operations. You can learn it by a shortcut which is BODMAS where B stands for brackets, O stands for power or order, D stands for division, M stands for multiplication, A stands for addition and S stands for subtraction. The order is from left to right.