Question

Apply arithmetic operation and explain how to find the value of the equation a – (b – 2a).

Answer 1

Hint: Let us apply the BODMAS Rule (Bracket Of Multiply Divide Addition and Subtraction Rule) to find the value of the given equation.

Complete step-by-step answer:
As we know that when we are given some equation and are asked to find the value of that equation then we solve that equation by applying arithmetic operation step by step.
Like there can be many mathematical symbols in an equation.
So, a rule called BODMAS derived to solve any mathematical equation with many mathematical symbols.
And according to this rule,
B states for Bracket ( ), { }, [ ].
O stands for of
D stands for division /.
M stands for multiplication *.
A stands for addition +
And, S stands for subtraction - .
And preference goes from B to S.
So, now we had to apply the BODMAS Rule on any equation. And then we will get the correct value of the equation easily.
So, applying the BODMAS Rule in the given equation.
Solving the given equation step by step.
As we know that the given equation is a – (b – 2a).
And there are only two operations in this equation and that were Bracket and subtraction.
So, according to BODMAS rule. First, we solve the bracket.
In the bracket we have to find the subtraction of b and 2a. where b and a can be any variable so, our answer should be in terms of a and b only.
So, b – 2a = b – 2a
Now we have to subtract b – 2a from a. So, it can be written as,
a – b + 2a
Now we had to apply addition according to the BODMAS rule. So, adding a and 2a. We get,
3a – b
Now as a and b can be any number so,
Hence, a – (b – 2a) = 3a – b

Note: Whenever we come up with this type of problem then first, we have to explain the meaning of each letter in the BODMAS Rule. And then solve the given equation step by step using BODMAS going from left of the equation to right of the equation. This will be the easiest and efficient way to find the solution of the problem.