Question

Simplify the expression $16 - 8 + 4 \times 2 + 8$

Answer 1

Hint: This is a simple algebraic expression. We can solve this expression using the BODMAS rule (which is a short form as per this rule while evaluating the given expression priority should be given in the order of Bracket of Division, Multiplication, Addition, and Subtraction from left to right of the given expression.)

Complete step-by-step solution:
First, let us consider the given expression:
$16 - 8 + 4 \times 2 + 8$
Now, as per the BODMAS rule, we have to check first priority that is- bracket of division but in the given expression we don’t have it so next check for the second priority that is -multiplication, now we can note that multiplication sign is there in the given expression so first we have to evaluate the numbers associated with multiplication sign so let us rewrite the given expression as follows:
\[ \Rightarrow 16 - 8 + (4 \times 2) + 8\]
Simplifying only multiplication we get:
\[ \Rightarrow 16 - 8 + 8 + 8\]
Now as per the rule next priority should be given for addition, so in the above expression we have addition sign so let us rewrite the given expression to simplify numbers which has addition sign in between as follows:
\[ \Rightarrow 16 - 8 + (8 + 8)\]
After simplification we get:
\[16 - 8 + (16)\]
Again we have addition sign for first term and third term so let us write those together so above expression can be written as
\[ \Rightarrow (16 + 16) - 8\]
After simplification we get:
\[ \Rightarrow 32 - 8\]
Now as per the rule next priority should be given for subtraction so applying the rule to above expression we get: \[24\]
Therefore, the solution to the given expression is \[24\].

Note: BODMAS rule is also known as PEDMAS in some region and is given by PEDMAS-Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction it is also called as BIDMAS where I-indices and rest follows as it is. If you solve any expression of a given kind without using BODMAS we will not get the correct answer.