When you are simplifying real numbers, you are actually simplifying the expression or equation given. To do so, many people use the PEMDAS method. This method stands out:
P for parenthesis
E for exponents
M for multiplication
D for division
A for addition
S for subtraction
However, whenever you face with an equation that has both division and multiplication next to each other, you must remember that you have to do at left to right. This same rule applies for both addition and subtraction.
Let us do a sample so that you can fully understand what I am trying to express. This equation is pretty much a beginner's equation, but this is actually the centre for you to understand and manoeuvre the perspective of simplifying.
Okay, let's say that we had to solve: 12/(2*2)*5-2+9
Lets do this problem step-by-step.
1) According to the PEMDAS method, we first have to see if there is any parentheses because that is the first thing that needs to be evaluated. Since there is one that is surrounding both 2's, we need to evaluate that first. Since we know that 2*2=4, we then have the expression like this: 12/4*5-2+9.
2) When we see this problem, we know that there is a multiplication and division problem that is right next to each other. Since these two are next to each other, you need to make sure that we do this problem left to right. Meaning that we have to do division first rather than doing the multiplication equation. So we have to do 12/4=3. The expression will then be:
3*5-2+9. Now it is time to do 3*5=15. So the expression will later be: 15-2+9.
3) So then we now see that we have both a subtraction and addition equations side-by-side. Since we have to do this problem from left to right, we have to compute 15-2, in which the difference will be 13. Then, we do 13+9, since 13 replaced both 15 and 2. The sum will be then 22. So our final answer is 22.
Hope you learned the prospect of simplifying and evaluating expressions.