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.
Includes
Standards
Topics
Grade 7 Math: Mathematical Properties
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show your work for all calculations.
1. Which property states that the order in which numbers are added or multiplied does not change the sum or product?
Associative Property
Commutative Property
Distributive Property
Identity Property
2. Which equation demonstrates the Distributive Property?
5 + (3 + 2) = (5 + 3) + 2
7 × 1 = 7
4 × (6 + 3) = (4 × 6) + (4 × 3)
9 + 0 = 9
3. The property allows you to change the grouping of numbers in an addition or multiplication problem without changing the result.
4. The multiplicative identity property states that any number multiplied by equals that number.
5. According to the Commutative Property of Addition, 8 + 5 is equal to .
6. The equation (2 × 3) × 4 = 2 × (3 × 4) shows the Commutative Property of Multiplication.
True
False
7. The additive identity is 1.
True
False
8. Use the Distributive Property to rewrite the expression 6 × (7 + 2). Then simplify.
9. Explain the difference between the Commutative Property and the Associative Property.
Match each equation with the property it demonstrates.
10. 12 + 0 = 12
a. Commutative Property of Multiplication
11. 3 × 5 = 5 × 3
b. Associative Property of Addition
12. 9 × (2 × 4) = (9 × 2) × 4
c. Additive Identity Property
13. 5 × (8 - 3) = (5 × 8) - (5 × 3)
d. Distributive Property
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.
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.
Fraction, Decimal, and Percent Conversion Worksheet
Practice converting between fractions, decimals, and percentages with this Grade 7 worksheet.