How do you evaluate #14\div 7+ 5\times 2^ { 3} - ( 10- 3)#?
2 Answers
Explanation:
When evaluating expressions with
#color(blue)"mixed operations"# there is a particular order that must be followed.Follow the order as set out in the acronym PEMDAS
[Parenthesis (brackets), Exponents (powers), Multiplication, Division, Addition, Subtraction ]
#rArr14-:7+5xx2^3-7larrcolor(red)" brackets"#
#=14-:7+5xx8-7larrcolor(red)" powers"#
#=2+40-7larrcolor(red)" multiplication/division"#
#=35larrcolor(red)" addition/subtraction"#
Explanation:
Identify the terms in the expression first.
(They are separated by + and - signs)
In each term, the normal order of operations applies:
Brackets, then powers or roots, the multiply or divide.
Each term has to be simplified to a single answer, then they can be added or subtracted in the last step.
It is safer to write all the add terms first and then the subtract terms.