Question

Simplify the expression $24 - 6 \times 2 + 4 - 6 - 3$.

Answer 1

Hint: To simplify the given expression $24 - 6 \times 2 + 4 - 6 - 3$, we are going to use the BODMAS rule. This rule states that when an expression is given with more than one operation, then first we need to solve the bracket, then order, then division, then multiplication, then addition and lastly subtraction.

Complete step-by-step solution:
In this question, we are given an expression of some numbers and we need to simplify it.
Given expression: $24 - 6 \times 2 + 4 - 6 - 3$
Now, we have to carry out operations like subtraction, addition and multiplication on this expression. We cannot directly solve the given expression. There are some rules that need to be followed for simplifying the given expression.
For solving this expression, we are going to use the BODMAS Rule.
Let us see what BODMAS rule is first.
When an expression is given with more than one mathematical operation$\left( {eg:2 + 4 - 5 \times 3} \right)$, we cannot simplify it from left to right. Instead we carry out their operations on the order of their importance. The order of importance is
B – Brackets
O – Order
D – Division
M – Multiplication
A – Addition
S – Subtraction
So, in a given expression, first of all we need to solve the brackets, then solve the order, then carry out division, then multiplication, then addition and lastly do subtraction.
Here, in our expression, we are given addition subtraction and multiplication operations. So according to the BODMAS rule, first we will carry out multiplication, then carry out addition and then subtraction.
So, first of all $ - 6 \times 2 = - 12$
$ \Rightarrow 24 - 6 \times 2 + 4 - 6 - 3 = 24 - 12 + 4 - 6 - 3$
Now, $ - 12 + 4 = - 8$
$ \Rightarrow 24 - 6 \times 2 + 4 - 6 - 3 = 24 - 8 - 6 - 3$
Now, $24 - 8 = 16$ and $ - 6 - 3 = - 9$
$ \Rightarrow 24 - 6 \times 2 + 4 - 6 - 3 = 16 - 9 = 7$
Hence, we have simplified $24 - 6 \times 2 + 4 - 6 - 3 = 7$.

Note: In this question, we have two important points to keep in mind.
1. The most important point in this question is that while carrying operations, do not forget to use the greater number sign. For example: when we solved $ - 12 + 4 = - 8$ we used the negative sign.
2. Second point is that if we solve this expression without using the BODMAS rule, we will get the wrong answer. Let us solve this without using BODMAS rule
$ \Rightarrow 24 - 6 \times 2 + 4 - 6 - 3 = 18 \times 2 + 4 - 6 - 3$
$
  = 36 + 4 - 6 - 3 \\
  = 40 - 6 - 3 \\
   = 34 - 3 \\
   = 31 \\
 $