Question

Solve $ 12 \div 2(6 - 7 + 4)2 $

Answer 1

Hint: Apply BODMAS rule, starting to open the brackets first then Division then multiplication and then addition and subtraction. Follow the pattern strictly for the resultant required value.

Complete step-by-step answer:
Take the given expression: $ 12 \div 2(6 - 7 + 4)2 $
Simplify the terms inside the bracket. Rearrange the terms to do first addition in it –
 $ = 12 \div 2(6 + 4 - 7)2 $
Simplify the terms inside the bracket by finding the addition terms –
 $ = 12 \div 2(10 - 7)2 $
Simplify the terms inside the bracket by finding the subtraction of the terms –
 $ = 12 \div 2(3)2 $
Multiply the term in the bracket with the term outside the bracket –
 $ = 12 \div 6 \times 2 $
The above expression can be re-written as –
 $ = \dfrac{{12}}{6} \times 2 $
Now, find division of the terms in the above expression, remove common factors from the numerator and the denominator.
 $ = 2 \times 2 $
Simplify the above expression by finding the product of the terms.
 $ = 4 $
Hence, the required solution is $ 12 \div 2(6 - 7 + 4)2 = 4 $
So, the correct answer is “4”.

Note: Be careful about the sign convention while doing simplification remember and remember the golden rules-
Addition of two positive terms results in the positive term
Addition of one negative and another positive term, you have to do subtraction and apply the sign of a bigger number whether it is positive or negative.
I.Addition of two negative numbers gives a negative number but in actual you have to perform addition of both the numbers and apply the negative sign to the resultant answer.
II.Product of two positive terms results in the resultant value in positive.
III.Product of two negative terms results in the resultant value in positive.
IV.Product of one positive and one negative term results in negative.