Order of Operations  worksheet Answers                       

Directions:  Check your answers with the possible ones below.  Remember there may be more than one answer for each digit!  

Digit

Equation

Why it works!


1
 

 4/4  = 1 A number divided by itself is always 1.


2
 

 (4 + 4)/4 = 2 Working inside the parentheses first, I added 4 + 4 and got  8, then divided that by the denominator   4  to get  2. 


3
 

 (4 + 4 + 4) /4 = 3 Working inside the parentheses first, I got 4 + 4 + 4 = 12, then divided that  by  4  and got 3.


4
 

 (4 x 4) ÷ 4 = 4  or 4² ÷ 4 = 4 Working inside the parentheses first, I multiplied 4 by 4 and got 16, then divided that by  4  to get  4.  I squared 4 to get 16 and divided that by 4 to get 4.


5
 

  (4 x 4 + 4) / 4 = 5 Working inside the parentheses first, I got 4 x 4 = 16, then added the  4 inside the parentheses to get  20.  Then I divided 20 by 4 and got 5.


6
 

 {(4 x 4) + (4 + 4)}/4 = 6 Working inside the parentheses (  ) first, I got 4 x 4 = 16 and 4 + 4 = 8.  then working inside the { }  I got 16 + 8 = 24.  Divide that by 4 and get 6.


7
 

 {(4 x 4) + (4 + 4+ 4)}/4 = 7 Working inside the parentheses (  ) first, I got 4 x 4 = 16 and 4 + 4 + 4= 12.  Then working inside the { }  I got 16 + 12 = 28.  Divide that by 4 and get 7.


8
 

 4³ / ( 4 + 4) = 8 First work inside the parentheses and add 4 to 4 and get 8. Then do the exponents and get  4³ = 64.  Then divide 64 by 8 and get 8.

 


9
 

 {(4 x 4) + (4 + 4 + 4+ 4+ 4)}/4 = Working inside the parentheses (  ) first, I got 4 x 4 = 16 and 4 + 4 + 4 + 4 + 4= 20.  Then working inside the { }  I got 16 + 20 = 36.  Divide that by 4 and get 9.


10
 

 {4² + 4² + ( 4 + 4) }/4 Working inside the parentheses (  ) first, I added 4 to 4 and got 8.  Then do exponents and get 4² = 16 twice. Then working inside the { }  I got 16 + 16 + 8 = 40.  Divide that by 4 and get 10.