Question

How do you evaluate the expression $\dfrac{{63}}{7} \times (5 - 2)$ ?

Answer 1

Hint: The given expression is a numerical expression. The numerical expression only contains the constants and the operations. These kinds of numerical expressions with more than one operation are solved using the BODMAS rule. Because to evaluate the unique answer, it is necessary to do the operations in a fixed order.

Complete step by step answer:
According to the BODMAS rule, firstly we need to solve the brackets, then divide, then multiply, then addition and last subtraction. We need to follow this order strictly, to find an accurate and unique solution to the expression. Because if the order of operations changes then the result will also change.
Now, the given expression is $\dfrac{{63}}{7} \times (5 - 2)$
For the simplification, firstly, we need to simplify the brackets, this means the terms within the brackets should be solved first.
So, after simplifying the brackets, we get,
$= \dfrac{{63}}{7} \times 3$
Further, we can simplify the expression by simply using the division, so by dividing, we get
$= 9 \times 3$
Now, the next operation that we need to perform is multiplication. So, we have
$= 27$
So, the given numerical expression, after simplification, gives the result $\;27$ .

Thus, we say that, $\;27$ is the required result.

Additional information:
In the numerical expressions, for grouping, symbols like, $\left( {} \right)$ , $\left[ {} \right]$ and $\left\{ {} \right\}$ are used, which are called brackets or parentheses.

Note: In the BODMAS rule, B stands for Brackets, O stands for Of, D stands for Division, M stands for Multiplication, A stands for Addition and S stands for subtraction. Thus, to obtain a unique solution, this rule should be strictly followed.