1 Read each verbal expression and translate it into a Circle of Evaluation. The first one has been completed for you.
Find the sum of 12 and 4. |
Find the sum of 12 and 4. Multiply it by 1. |
Find the sum of 12 and 4. Add 0. |
(+ 12 4)
|
Are these circles equivalent? Why or why not?
The second and third Circles of Evaluation illustrate the Identity Property!
-
The Identity Property of Multiplication tells us that a value does not change when multiplied by 1.
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The Identity Property of Addition tells us that a value does not change when added to 0.
2 Take a look at the counter-examples below.
Find the difference of 10 and 2. |
Find the difference of 10 and 2. Multiply it by 0. |
Find the difference of 10 and 2. Add one. |
(- 10 2)
|
(* (- 10 2) 0)
|
(+ (- 10 2) 1)
|
Explain why each Circle of Evaluation above does not represent the Identity Property.
3 The Identity Property of Addition involves adding zero, and the Identity Property of Multiplication involves multiplying by 1. Is there an Identity Property of Subtraction and Division? Complete the Circles of Evaluation below so that the value doesn’t change.
(+ (/ 130 40) )
|
(* (/ 130 40) )
|
(- (/ 130 40) )
|
(/ (/ 130 40) )
|
Summarize what you discovered about the Identity Property.
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
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