Completing Circles of Evaluation from Arithmetic Expressions (2)

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

$\displaystyle 4 + 2 - {\frac {10} {5}}$

( ( 4 2) (/ 5))

$\displaystyle 7 - 1 + 5 \times 8$

(+ ( 7 1) (* ))

$\displaystyle {{-15} \over {5 + -8}}$

(/ (+ 5 ))

$\displaystyle (4 + (9 - 8)) \;\times\; 5$

(* ( 4 ( 9 8)) )

$\displaystyle 6 \times 4 + {\frac {9 - -6} {5}}$

( ( 4) (/ ( 9 ) ))

Challenge

$\displaystyle {{20} \over {6 + 4}} - {{5 \;\times\; 9} \over {-12 - 3}}$

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

These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, and 1738598). Bootstrap:Integrated Oklahoma by Jen Poole 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.