Simplify #{[(5-8)xx(6+44)]-23}+{[(5-3)xx(63-2)]-21}xx(8-3)#?

1 Answer
Jun 14, 2017

Answer:

#{[(5-8)xx(6+44)]-23}+{[(5-3)xx(63-2)]-21}xx(8-3)=-315#

Explanation:

Normally the order of operations followed is PEMDAS i.e. first parentheses, then exponents, then multiplication, division and finally addition and subtraction.Bur here what we have is a number of parentheses.

In such cases we first solve internal parentheses and then slowly move out. Please see below for details.

#{[(5-8)xx(6+44)]-23}+{[(5-3)xx(63-2)]-21}xx(8-3)#

= #{[(-3)xx50]-23}+{[2xx61]-21}xx5#

= #{[-150-23}+{122-21}xx5#

= #{-173+101}xx5#

= #(-63)xx5#

= #-315#