Grade 11 Math: Properties of Numbers
Explore the fundamental properties of real numbers including commutative, associative, distributive, identity, and inverse properties.
Includes
Standards
Topics
Properties of Numbers
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which property is illustrated by the equation a + (b + c) = (a + b) + c?
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition
2. What is the multiplicative inverse of -3/4?
3/4
-4/3
4/3
-3/4
3. The property states that for any real numbers a and b, a + b = b + a.
4. The number 0 is the additive because for any real number a, a + 0 = a.
5. The distributive property allows us to write a(b + c) as ab + c.
True
False
6. Every real number has a multiplicative inverse.
True
False
7. Explain the difference between the commutative and associative properties of addition.
Match each property with its example.
8. Additive Inverse
a. 5 * (2 + 3) = 5 * 2 + 5 * 3
9. Multiplicative Identity
b. 7 + (-7) = 0
10. Distributive Property
c. 1 * 9 = 9
11. Plot the numbers -2, 0, 1.5, and 3 on the number line below.
Related Worksheets
Classification of Real Numbers
A Grade 11 math worksheet covering the classification of real numbers, including natural, whole, integers, rational, and irrational numbers.
Irrational Numbers Worksheet
This worksheet focuses on understanding, identifying, and performing operations with irrational numbers for Grade 11 students.
Binary Number System Worksheet
Understanding and converting between binary and decimal number systems for Grade 11 students.
Opposite Integers Worksheet
Explore the concept of opposite integers, their properties, and their representation on a number line.