Properties of Numbers Worksheet
Explore the fundamental properties of numbers including commutative, associative, distributive, identity, and inverse properties for Grade 6 math.
Includes
Standards
Topics
Properties of Numbers
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show your work where necessary.
1. Which property is demonstrated by the equation: 5 + (3 + 2) = (5 + 3) + 2?
Commutative Property
Associative Property
Distributive Property
Identity Property
2. Which expression is equivalent to 4 × (7 + 3) using the Distributive Property?
4 × 7 + 3
4 + 7 × 4 + 3
4 × 7 + 4 × 3
4 + 7 + 3
3. The Property states that changing the order of addends or factors does not change the sum or product.
4. The number is the additive identity because any number added to it remains the same.
5. The Property allows you to multiply a sum by multiplying each addend separately and then adding the products.
6. The equation 10 × 1 = 10 demonstrates the Identity Property of Multiplication.
True
False
7. The Associative Property applies to subtraction and division.
True
False
8. Explain the difference between the Commutative Property of Addition and the Associative Property of Addition. Provide an example for each.
9. Plot the numbers 0, 2, 5, and 7 on the number line below. Then, show an example of the Commutative Property of Addition using two of these numbers on the number line.
Related Worksheets
Subtracting Negative Integers
Practice subtracting negative integers with this worksheet, featuring number line visualizations and word problems.
Consecutive Integers Worksheet
Explore consecutive integers, their properties, and solve problems involving sequences of numbers for Grade 6 math.
Grade 6 Number Forms Worksheet
Explore different ways to represent numbers, including standard, word, expanded, and scientific notation, for Grade 6 math students.
Positive and Negative Integers Worksheet
Explore positive and negative integers, comparing, ordering, and performing basic operations on a number line.
Powers of 10 Worksheet
Explore powers of 10 with this worksheet, covering multiplication, division, and identifying patterns for grade 6 math students.
Organizing Real Numbers
A Grade 6 math worksheet focused on ordering, comparing, and classifying real numbers including integers, fractions, and decimals.
Comparing Rational Numbers Worksheet
A Grade 6 math worksheet focused on comparing and ordering rational numbers using number lines and inequality symbols.
Introduction to Set Notation
Explore the basics of set notation, including identifying elements, subsets, and performing simple set operations like union and intersection.