How do you simplify #5+ 7(8 ÷ 4 ) + 6 # using PEMDAS?

Question

Riley Anderson · Accepted Answer

#25#

P.E.M.D.A.S stands for parenthesis, exponents, addition/subtraction, multiplication, and division.

Parenthesis is the first step, so make your equation simpler by taking 8 / 4 = 2. It should look like this:

#5+7(2)+6#

Exponents follows, and since this equation does not contain any exponents, we can skip to the next step, Multiplication/Division, where we can multiply 7*2 = 14. The equation now looks like this:

#5+14+6#

Our only operation left is addition, so add to get #25# as your final answer.

Mila Anderson · Answer

#5 +7(8div4)+6 = 25#

In any expression with multiple operations, count the number of terms first. Within each term work from the strongest to the weakest operations first, meaning powers and roots, and then multiply and divide. A bracket over-rides the importance and needs to be done first.

#color(red)(5)" "color(blue)(" " +7(8div4))" "color(green)(+" "6)" "larr# there are 3 terms #color(white)(wwwwwwww)darr# #=color(red)(5)" "color(blue)(" " +7(2)" "color(green)(+" "6)# #color(white)(wwwwwwww)darr# #=color(red)(5)" "color(blue)(" " +14" "color(green)(+" "6)#

#=25#

Mila Anderson · Answer

undefined To simplify the expression $5 + 7(8 \div 4) + 6$ using PEMDAS, follow these steps:

1. Perform the operations inside parentheses:
   $8 \div 4 = 2$

2. Perform multiplication:
   $7 \times 2 = 14$

3. Add the remaining numbers:
   $5 + 14 + 6 = 25$

So, the simplified expression is $25$.