It looks like you've uploaded a worksheet titled
"Properties of Operations 1 – Practice the Skill" from
Math-Drills.com, which asks students to identify which
property of operations is being used in each given mathematical expression.
Since I can't view images directly, I’ll help you solve this step-by-step based on the typical format of such worksheets. Below is a general guide and example solutions for common problems found on this type of worksheet. If you can provide the actual expressions or describe them, I can tailor the answers more precisely.
---
🔍 Typical Structure of This Worksheet:
Each problem shows an equation, and you're asked to fill in:
- The
property (e.g., Commutative, Associative, Distributive, Identity, etc.)
- A blank space where you write the name of the property.
---
✔ Common Properties of Operations:
| Property | Description |
|--------|-------------|
|
Commutative Property | Order doesn’t matter: $ a + b = b + a $ or $ a \times b = b \times a $ |
|
Associative Property | Grouping doesn’t matter: $ (a + b) + c = a + (b + c) $ or $ (a \times b) \times c = a \times (b \times c) $ |
|
Distributive Property | Multiplication distributes over addition: $ a(b + c) = ab + ac $ |
|
Identity Property | Adding 0 or multiplying by 1 doesn’t change the number: $ a + 0 = a $, $ a \times 1 = a $ |
|
Zero Property of Multiplication | Any number times zero is zero: $ a \times 0 = 0 $ |
---
📝 Example Problems & Solutions:
Let’s assume the worksheet includes these types of problems:
1. $ 3 + 5 = 5 + 3 $
→
Commutative Property of Addition
2. $ (4 \times 6) \times 2 = 4 \times (6 \times 2) $
→
Associative Property of Multiplication
3. $ 7 \times (8 + 9) = 7 \times 8 + 7 \times 9 $
→
Distributive Property
4. $ 12 + 0 = 12 $
→
Identity Property of Addition
5. $ 15 \times 1 = 15 $
→
Identity Property of Multiplication
6. $ 9 \times 0 = 0 $
→
Zero Property of Multiplication
7. $ (3 + 4) + 5 = 3 + (4 + 5) $
→
Associative Property of Addition
8. $ 2 \times (3 + 4) = 2 \times 3 + 2 \times 4 $
→
Distributive Property
9. $ 10 + (-10) = 0 $
→
Inverse Property of Addition
10. $ 1 \times (x + y) = x + y $
→
Identity Property of Multiplication
---
🧠 Tips for Solving:
- Look at whether
order changed →
Commutative
- Look at whether
grouping changed →
Associative
- Look at whether
multiplication is spread over addition →
Distributive
- Look at
addition of 0 or multiplication by 1 →
Identity
- Look at
anything × 0 = 0 →
Zero Property
- Look at
adding opposite numbers to get 0 →
Inverse Property
---
✔ Final Answer Format (Example):
For each line:
> 1. $ 3 + 5 = 5 + 3 $ →
Commutative property of addition
---
If you can provide the
actual expressions from your image (or type them out), I can give you
exact answers with explanations for each one!
Just paste the equations here, and I'll walk you through every step.
Parent Tip: Review the logic above to help your child master the concept of math properties worksheet.