Question

How do you solve `9- 16\cdot \frac{2^{2} - 1^{3}}{2( - 4)} - 8\div 2`?

Answer 1

`11`

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"`

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

`"multiplication/division have equal precedence so when"`
`"they occur in the same expression evaluate from left"`
`"to right. This is also the case with addition/subtraction"`

`9-16xx(2^2-1^3)/(2(-4))-8-:2`

`=9-cancel(16)^-2xx(4-1)/(cancel(-8)^1)-8-:2larrcolor(red)"P/E"`

`=9-(-2xx3)-8-:2larrcolor(red)" tidy up fraction"`

`=9-(-6)-4larrcolor(red)" multiplication/division"`

`=9+6-4larrcolor(red)" evaluate left to right"`

`=11`