Question

How do you evaluate `14\div 7+ 5\times 2^ { 3} - ( 10- 3)`?

Answer 1

`35`

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"`

Answer 2

`35`

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.

`color(red)(14div7) +color(blue)(5xx2^3) - color(forestgreen)((10-3))" "larr` there are 3 terms

`=color(red)(2)" + "color(blue)(5xx8) - color(forestgreen)(7)`

`=color(red)(2)" + "color(blue)(40)" - " color(forestgreen)(7)`

`=35`