Question

How do you simplify `2+4xx3+1/2` using PEMDAS?

Answer 1

`14 1/2=29/2`

Explanation:

When evaluating expressions with `color(blue)"mixed operations"` there is a particular order that must be followed.

`"using the order as set out in the acronym PEMDAS"`

[P-parenthesis (brackets), E-exponents (powers), M-multiplication, D-division, A-addition, S-subtraction]

`2+12+1/2larrcolor(red)" multiplication"`

`"now add the numbers from left to right"`

`=14 1/2=29/2larrcolor(red)" addition"`

Answer 2

`14 1/2`

Explanation:

When working with expressions with different operations, the most important step is to count the NUMBER of TERMS FIRST.

Terms are separated by `+ and -` signs.

Simplify each term to a single answer which will be added or subtracted in the last step.

Within each term, do operations in the order:

• Brackets first
• powers and roots
• multiplication and division

`color(blue)(2)color(red)(+ 4xx3) color(green)(+1/2)" "larr` there are `3` terms

`=color(blue)(2)color(red)(+ 12) color(green)(+1/2)`

`=14 1/2`