Properties of Integers Worksheet
Explore the fundamental properties of integers including commutative, associative, distributive, identity, and inverse properties with this Grade 9 math worksheet.
Includes
Standards
Properties of Integers
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: 5 + (3 + 7) = (5 + 3) + 7?
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition
2. Which property states that a × (b + c) = (a × b) + (a × c)?
Commutative Property of Multiplication
Associative Property of Multiplication
Distributive Property
Identity Property of Multiplication
3. The property states that changing the order of the operands does not change the result.
4. The additive inverse of an integer 'a' is .
5. The product of any integer and zero is .
6. The set of integers is closed under division.
True
False
7. The identity element for multiplication of integers is 1.
True
False
8. Explain the difference between the commutative property and the associative property.
9. Give an example of the distributive property in action with integers.
10. Plot the integers -3, 0, and 4 on the number line below.
Related Worksheets
Expanded Notation Worksheet - Grade 9
Practice worksheet for Grade 9 students focusing on expanded notation of whole numbers and decimals.
Number Bases Worksheet
Explore different number bases including binary, octal, decimal, and hexadecimal with conversion and arithmetic exercises for Grade 9 students.
Comparing Rational Numbers
A Grade 9 math worksheet focusing on comparing and ordering rational numbers using various methods.
Positive and Negative Integers Worksheet
Grade 9 math worksheet focusing on operations with positive and negative integers, including addition, subtraction, multiplication, division, and number line representation.
Irrational Numbers Worksheet
Explore and identify irrational numbers, differentiate them from rational numbers, and approximate their values on a number line.
Properties of Real Numbers
Explore and apply the fundamental properties of real numbers including commutative, associative, distributive, identity, and inverse properties.
Operations with Negative Numbers
This worksheet focuses on developing proficiency in adding, subtracting, multiplying, and dividing negative numbers for Grade 9 students.
Power of a Product Worksheet
Grade 9 Math worksheet focusing on understanding and applying the power of a product rule for exponents.