This document provides examples of using properties of numbers to evaluate expressions and identify true statements. It introduces key properties like the additive identity, multiplicative identity, multiplicative inverses, and reciprocal. Students are given problems to name the property being used, like identifying that n=0 is the multiplicative property of zero when solving n⋅12=0. They also evaluate multi-step expressions using substitution and properties like the multiplicative inverse. The goal is for students to recognize and apply number properties to determine if assertions are true or false.

1. (over Lesson 1-3)
1. A
2. B
3. C
4. D

2. • Recognize the properties of identity and equality.
• Use the properties of identity and equality.
• additive identity
• multiplicative identity
• multiplicative inverses
• reciprocal

3. Standard 1.0 Students identify and use the
arithmetic properties of subsets of integers and
rational, irrational, and real numbers, including
closure properties for the four basic arithmetic
operations where applicable.
Standard 1.1 Students use properties of numbers
to demonstrate whether assertions are true or false.
Standard 25.1 Students use properties to construct
simple, valid arguments (direct and indirect) for, or
formulate counterexamples to claimed assertions.

6. Identify Properties
A. Name the property used in n ● 12 = 0. Then find
the value of n.
Answer: n = 0, since 0 ● 12 = 0. This is the
Multiplicative Property of Zero.

7. Identify Properties
B. Name the property used in n ● = 1. Then find
the value of n.
Answer: This is the Multiplicative
Inverse Property.

8. A. Name the property used in . Then find
the value of n.
A. Multiplicative Inverse Property; n = 3
B. Multiplicative Property of zero; n = 0
C.
D.
A. A
B. B
0% 0% 0% 0%
C. C
B
C
D
A
D. D

9. B. Name the property used in n + 0 = 11. Then find
the value of n.
A. Additive Identity Property; n = 0
B. Multiplicative Identity Property; n = 11
C. Additive Identity Property; n = 11
D. Multiplicative Identity Property; n = 0
A. A
B. B
C. 0%
0% C0% 0%
D. D
B
C
D
A

11. Evaluate Using Properties
Name the property used in each step.
Substitution; 12 – 8 = 4
Substitution; 15 ÷ 5 = 3
Substitution; 3 – 2 = 1

12. Evaluate Using Properties
Multiplicative Identity; 3 ● 1 = 3
Multiplicative Inverse; ●4=1
=4 Substitution; 1 + 3 = 4
Answer: 4

13. A. 4
B. 5
0%
1. A
C. 1
2. B
3. C
D. 0 4. D
A B C D