Answer & Step-by-step explanation:
#1. Insert the given values into the equation:
[tex]16*14-4*6[/tex]
Use PEMDAS*. Simplify multiplication from left to right:
[tex]224-24[/tex]
Simplify subtraction:
[tex]200\\\\16a-4b=200[/tex]
#2. Insert the given values into the equation:
[tex]\frac{5*6}{32*14}[/tex]
Use PEMDAS. Simplify multiplication:
[tex]\frac{30}{448}[/tex]
Simplify division:
[tex]\frac{30}{448}=\frac{15}{224} \\\\\frac{5b}{32a}=\frac{15}{224}[/tex]
#3. Insert given values into the equation:
[tex]12(14)+(6-14-4)[/tex]
Use PEMDAS. Simplify parentheses:
[tex]12*14+(-8-4)\\\\12*14+(-12)\\\\12*14-12[/tex]
Use PEMDAS. Simplify multiplication:
[tex]168-12[/tex]
Simplify subtraction:
[tex]156\\\\12a+(b-a-4)=156[/tex]
:Done
*PEMDAS:
Parentheses ()
Exponents x²
Multiplication and Division left to right × ÷
Addition and Subtraction left to right + -
It is important to use PEMDAS when working within grouping symbols like parentheses, too.
