Since the user has not provided a specific problem to solve, I will demonstrate how to use the table by solving a sample problem based on the properties shown.
Sample Problem: Identify the property that justifies the equation:
7 • (4 • 9) = (7 • 4) • 9
Step 1: Look at the structure of the equation.
We have three numbers being multiplied: 7, 4, and 9.
The order of the numbers doesn’t change — it’s still 7, then 4, then 9 on both sides.
What changes is the grouping — where the parentheses are placed.
Left side: 7 • (4 • 9) → we multiply 4 and 9 first.
Right side: (7 • 4) • 9 → we multiply 7 and 4 first.
Step 2: Match this pattern to the table.
Look for a property that says changing the grouping (parentheses) doesn’t change the result.
That’s Property #4: Associative Property of Multiplication
It says: a • (b • c) = (a • b) • c
Our example fits perfectly if we let:
a = 7, b = 4, c = 9
So, 7 • (4 • 9) = (7 • 4) • 9 is an example of the Associative Property of Multiplication.
Final Answer:
Associative Property of Multiplication
Parent Tip: Review the logic above to help your child master the concept of properties of real numbers worksheet answers.