Question

If ‘-’ means ‘multiplied by’, ‘\[\times \]’ means ‘plus’, ‘+’ means ‘divided by’ and ‘\[\div \]’ means ‘minus’ then
\[14-10\times 4\div 16+8=?\]
(A). 142
(B). 134
(C). 6
(D). 5

Answer 1

Hint: At first write the original expression then according to given conditions form the new one to be operated on. Then proceed using the rule of BODMAS, at first division then multiplication, then addition and finally subtraction.

Complete step-by-step solution -
In the question of expression with certain conditions given in the question and we have to find the value of it.
So the expression given is \[14-10\times 4\div 16+8\] with a condition such as, ‘-’ means ‘multiplied by’, ‘\[\times \]’ means ‘plus’, ‘+’ means ‘divided by’ and ‘\[\div \]’ means ‘minus’ or ‘-’.
So, the given expression was,
 \[14-10\times 4\div 16+8\] will be changed to,
\[14\times 10+4-16\div 8\]
Generally in these type of large simplification, we generally use the BODMAS rule to solve them easily,
BODMAS is an acronym and it stands for Bracket of Division, Multiplication, Addition, and Subtraction.
It explains the order of operations to solve the expression. According to BODMAS rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by (powers and roots, etc), then division, multiplication, addition and subtraction from left to right. Also if solving is not done according to proper rule then the answer will be wrong.
So, the given expression was,
\[14-10\times 4\div 16+8\] will be changed to,
\[14\times 10+4-16\div 8\]
So, now according to the rule division will be done first. So, we get,
\[14\times 10+4-16\div 8\]
Or, \[14\times 10+4-2\]
Now after division, we will do multiplication so we get,
\[14\times 10+4-2\]
Or, \[140+4-2\]
Now we will do addition in the question to complete it so,
\[140+4-2\]
Or, \[144-2\]
Hence, finally on subtracting we get \[144-2\] or 142
So, the correct option is (a).

Note: Somewhere instead of BODMAS, PEMDAS is also written where P stands for Parenthesis and E for exponents while others are the same. Also, the ‘of’ of BODMAS full form is called order which involves powers and square – roots.