Question

Simplify \[12.28 \times 1.5 - 36 \div 2.4\]
A. 3.24
B. 3.42
C. 4.32
D.4.23

Answer 1

Hint: In the solution, we have to follow the BODMAS rule, which means BO=Bracket of, D= Division, M=Multiplication, A=Adding and S= Subtraction. It means if any expression is asked to simplify, then we have to follow this process to find the correct output.

Complete step-by-step answer:
Let us assume the whole term as x, then \[x = 12.28 \times 1.5 - 36 \div 2.4\]
Then according to BODMAS rule, there are no brackets to solve first, we have to start with the alphabet D, which means division, then x becomes
\[x = 12.28 \times 1.5 - 15\], now we are going to the next alphabet M which means the multiplication, so after multiplication the series, the expression becomes
\[x = 18.42 - 15\], according to the rule, the next word is A, which means addition, so there are no terms to add so we are moving to next alphabet S, which means subtraction, which is available in the expression, then the value of x becomes
\[x = 3.42\]
Therefore, the value of the simplification is \[3.42\] , it means option (B) is correct.
So, the correct answer is “Option B”.

Note: We have to be sure while simplifying using the BODMAS rule, we should not hurry about the result, we should be clear about the concept of BODMAS. Suppose if the given simplification did not have any terms to proceed with multiplication, then we have to move next and check if it is possible to work out. It means the next process after multiplication is addition, so we have to do addition if there are terms to add.