Properties of Rational Numbers
Explore and apply the properties of rational numbers, including commutative, associative, distributive, identity, and inverse properties.
Includes
Standards
Topics
Properties of Rational 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 states that a + b = b + a for rational numbers?
Associative Property
Commutative Property
Distributive Property
Identity Property
2. What is the additive inverse of -3/4?
4/3
-4/3
3/4
0
3. The property that allows us to multiply a sum by multiplying each addend separately and then adding the products is called the Property.
4. Any rational number multiplied by its multiplicative inverse equals .
5. The additive identity for rational numbers is .
6. The set of rational numbers is closed under division (except by zero).
True
False
7. (a + b) + c = a + (b + c) demonstrates the Commutative Property of Addition.
True
False
8. Identify the property illustrated by the equation: 5/2 * (2/5) = 1
9. Use the distributive property to simplify the expression: 1/3 * (6 + 9)
10. Plot the following rational numbers on the number line below: -1/2, 0.75, -2, 1/4
Related Worksheets
Adding and Subtracting Rational Numbers
Practice adding and subtracting rational numbers, including fractions, decimals, and mixed numbers.
Binary Number System Worksheet
Explore the binary number system with this Grade 7 math worksheet. Convert between binary and decimal, understand place values, and solve problems.
Grade 7 Math: Mathematical Properties
Explore and apply the commutative, associative, distributive, and identity properties of addition and multiplication with this Grade 7 math worksheet.
Ordering Integers Worksheet
A Grade 7 math worksheet focusing on ordering and comparing integers using number lines and inequalities.
Evaluating Powers Worksheet
A Grade 7 math worksheet focused on evaluating powers, including positive, negative, and zero exponents.
Integer Word Problems Worksheet
Practice solving real-world integer word problems involving temperature, money, and elevation for 7th graders.
Greatest Common Divisor (GCD) Worksheet
Practice finding the Greatest Common Divisor (GCD) of numbers, including prime factorization and real-world problems for Grade 7 math.
Properties of Exponents Worksheet
A Grade 7 math worksheet focusing on understanding and applying the properties of exponents.