(* 36 10) |
(* 10 36) |
36 × 10 = ? |
10 × 36 = ? |
1 What do you notice about the Circles of Evaluation above?
These Circles of Evaluation demonstrate the Commutative Property of Multiplication! The Commutative Property is true for any expression where all orders of the numbers produce the same result. Draw another example of the Commutative Property of Multiplication with any two numbers, below. Evaluate each Circle to confirm that they are equivalent.
2 Examine and evaluate the Circles of Evaluation below to decide if the Commutative Property holds for problems involving division.
(/ 200 10) |
(/ 10 200) |
200 ÷ 10 = ? |
10 ÷ 200 = ? |
Explain your response.
Draw another example like the one above to confirm what you observed about the Commutative Property and division.
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
Bootstrap by the Bootstrap Community is licensed under a Creative Commons 4.0 Unported License. This license does not grant permission to run training or professional development. Offering training or professional development with materials substantially derived from Bootstrap must be approved in writing by a Bootstrap Director. Permissions beyond the scope of this license, such as to run training, may be available by contacting contact@BootstrapWorld.org.