Referenced from lesson Order of Operations

For each expression on the left, finish the Circle of Evaluation on the right by filling in the blanks.

Arithmetic Expression Circle of Evaluation

1

4 + 2 - ( \frac 10 5 )

   
   
42
/
   5
(    (    4 2) (/     5))

2

7 - 1 + 5 × 8

+
   
71
​*
      
(+ (    7 1) (​*        ))

3

-15 / ( 5 + -8 )

/
   
+
5   
(/     (+ 5    ))

4

(4 + (9 - 8)) × 5

​*
   
4
   
98
   
(​* (    4 (    9 8))    )

5

6 × 4 + ( \frac ( 9 - -6 ) 5 )

   
   
   4
/
   
9   
   
(    (        4) (/ (    9    )    ))

Challenge

( 20 / ( 6 + 4 ) ) - ( ( 5 × 9 ) / ( -12 - 3 ) )

   
   
20
+
   4
   
   
      
​-
   3
(    (    20 (+     4)) (    (           ) (​-     3)))

These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, and 1738598). CCbadge Bootstrap:Algebra by Emmanuel Schanzer, Jen Poole, Ed Campos Jr, Flannery Denny, and Dorai Sitaram is licensed under a Creative Commons 4.0 Unported License. Based on a work at www.BootstrapWorld.org. Permissions beyond the scope of this license may be available by contacting schanzer@BootstrapWorld.org.