How do you solve 9- 16\cdot \frac{2^{2} - 1^{3}}{2( - 4)} - 8\div 29−16⋅22−132(−4)−8÷2?
1 Answer
Explanation:
"when evaluating expressions with "color(blue)"mixed operations"when evaluating expressions with mixed operations
"there is a particular order that must be followed"there is a particular order that must be followed
"follow the order as set out in the acronym PEMDAS"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"multiplication/division have equal precedence so when
"they occur in the same expression evaluate from left"they occur in the same expression evaluate from left
"to right. This is also the case with addition/subtraction"to right. This is also the case with addition/subtraction
9-16xx(2^2-1^3)/(2(-4))-8-:29−16×22−132(−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
