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
Dividing Powers Worksheet
Practice dividing powers with the same base and different bases for grade 6 math students.
Multiplying Powers Worksheet
Practice worksheet for 6th graders on multiplying powers with the same base, including various question types to reinforce understanding.
Powers of Ten Review
A worksheet for 6th graders to practice understanding and calculating powers of ten.
Number Sequences Worksheet
Explore and identify patterns in number sequences, including arithmetic and geometric progressions, for Grade 6 math.
Subtracting Negative Integers
Practice subtracting negative integers with this worksheet, featuring number line visualizations and word problems.
Grade 6 Place Value Relationships
Explore place value relationships in multi-digit numbers, including decimals, for 6th-grade math students.
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.