The Associative Property of Multiplication says that when we multiply three or more numbers, it doesn’t matter how we group them. The result will always be the same. In other words, if we have three numbers A, B, and C, we can write it like this:
(A × B) × C = A × (B × C)
Now, let’s work on your worksheet! You’ll find some problems where you need to find the missing number according to the associative property. Here’s how to do it:
- Look at the equation.
- Identify the missing number’s position.
- Use the associative property to figure out the missing number.
Let’s do an example together:
Problem: (4 × _ ) × 2 = 4 × (2 × 2)
Step 1: Look at the equation. (4 × _ ) × 2 = 4 × (2 × 2)
Step 2: Identify the missing number’s position. The missing number is in the middle, where the underscore is: (4 × _ ) × 2
Step 3: Use the associative property to figure out the missing number. We know that (A × B) × C = A × (B × C)
In our problem, A = 4, B is the missing number, and C = 2. So, we have (4 × B) × 2 = 4 × (2 × 2)
Now, let’s solve the equation on the right side: 4 × (2 × 2) = 4 × 4 = 16
So, our equation looks like this: (4 × B) × 2 = 16
We need to find B. Let’s first multiply 4 by 2: (4 × B) × 2 = (4 × 2) × B = 8 × B
Now, we have: 8 × B = 16
To find B, divide 16 by 8: B = 16 ÷ 8 = 2
So, the missing number is 2! Now you can try doing the other problems on your worksheet by following these steps. Good luck, and have fun!
Printable Associative Property Of Multiplication Worksheets
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