Question

Simplify the following: $124-\left( 12-2 \right)\times 9$

Answer 1

Hint: To simplify the given expression, we will use the BODMAS rule. This rule tells us the precedence that we should give to the operations in the expression. We will start with the brackets in the expression and then follow the BODMAS rule till the last step of simplification. After simplification of the given expression, we will get a single number.

Complete step by step solution:
The given expression is $124-\left( 12-2 \right)\times 9$. We will use the BODMAS rule to simplify this expression. According to the BODMAS rule, the precedence is given in the following manner: Bracket, Order (exponents/powers), Division, Multiplication, Addition, and Subtraction. So we will start with simplifying the expression inside the bracket first. The expression in the bracket is $\left( 12-2 \right)$, which is equal to $10$. So, now the given expression becomes the following,
$124-10\times 9$.
According to the BODMAS rule, after the bracket, we should look for the order or power of a term. But there are no terms that have an order higher than 1. So, we will check for the division next. In the expression that we are simplifying, there is no division operation. So we can move to the next, which is multiplication. We can see that there is a multiplication operation where we multiply 10 and 9 in the expression as follows, $10\times 9=90$. So, now our expression has become the following,
$124-90$.
Next, we will check for additional operations according to the BODMAS rule. Since there is no additional operation, we will move to the next precedence which is subtraction. This is the final step in our simplification as there are no more operations other than this subtraction operation. Performing the subtraction, we obtain $124-90=34$. The simplification of the given expression gives us the number 34.

Note: It is important to understand the BODMAS rule since it is the standard way for simplifying algebraic expressions. We should be careful with the signs of individual terms as there is a possibility of making errors in the simplification. Changing the sequence of precedence of operations will not give us the same value. Hence, the BODMAS rule is used as a standard way for simplification so that Any person simplifying the same expression will arrive at the same answer.