Question

Simplify:- \[1001+96\div 16=?\]
(a) 1108
(b) 996
(c) 1070
(d) 1007
(e) None of these

Answer 1

Hint: Apply DMAS rule to simplify the given expression. Here, D stands for division, M stands for multiplication, A stands for addition and S stands for subtraction. Follow the order of arithmetic operation and first divide 96 with 16 and then add the result with 1001 to get the answer.

Complete step-by-step solution
Here, we have to simplify the expression: - \[1001+96\div 16\]. We can clearly see that here we have to perform two arithmetic operations namely division and addition, so our main concern is to select the operation which will be preferred first. We cannot select the operation from our wish because there is a certain rule known as the DMAS rule for this.
Now, DMAS stands for Division, Multiplication, Addition, and Subtraction and it states that in an expression containing all these operations we have to follow this order of arithmetic operations to simplify the expression.
Now, let us come to the question. In the given expression we have to simplify: - \[1001+96\div 16\], which contains two arithmetic operations, division and addition. So, according to the DMAS rule we will prefer division first and then addition. So, the expression becomes,
\[\begin{align}
  & \Rightarrow 1001+96\div 16=1001+6 \\
 & \Rightarrow 1001+6=1007 \\
\end{align}\]
Therefore, the value of the simplified expression is 1007.
Hence, option (d) is the correct answer.

Note: One may note that the DMAS rule is a special case of the BODMAS rule. In the BODMAS rule, we have three types of brackets: - small bracket, curly bracket, and square bracket. BODMAS stands for Bracket of Division, Multiplication, Addition, and Subtraction. In this rule, the terms inside the bracket are simplified first and then the other operations written in order are considered. The main difference between BODMAS and DMAS rule is that in the DMAS rule we don’t have brackets and only four basic arithmetic operations are there.