Question

How do you evaluate \[\left( \left( 46-15 \right)\times 32 \right)+5\]?

Answer 1

Hint: To evaluate the expression given in the question that is \[\left( \left( 46-15 \right)\times 32 \right)+5\] use BODMAS rule, it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction. It explains the order of operations to be performed while solving an expression. According to BODMAS rule, if an expression contains brackets, we have first to solve or simplify the bracket followed by ‘order’ then division, multiplication, addition and subtraction from left to right.

Complete step by step solution:
Given expression in the question is:
\[\left( \left( 46-15 \right)\times 32 \right)+5\]
According to BODMAS rule, the given expression contains brackets we have first to solve or simplify the bracket followed by ‘order’ then division, multiplication, addition and subtraction from left to right.
After solving the terms inside first bracket, we get:
\[ \Rightarrow \left( 31\times 32 \right)+5\]
Now solving the terms inside second bracket, we get:
\[\Rightarrow 992+5\]
Simplifying it further after addition we get:
\[\Rightarrow 997\]
Therefore, the value of expression +\[\left( \left( 46-15 \right)\times 32 \right)+5\] is \[997\].

Note: Students can go wrong by ignoring the brackets of the expression and solving the expression in random order which can further lead to the incorrect answer. Also, students might end up making calculation mistakes that are doing wrong multiplication or wrong subtraction between the numbers. Key point is it’s important to remember the BODMAS rule which stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction. It explains the order of operations to be performed while solving an expression. According to BODMAS rule, if an expression contains brackets, we have first to solve or simplify the bracket followed by ‘order’ then division, multiplication, addition and subtraction from left to right.