Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of the square (□) is **11**.
Solution
It looks like you're working with a simple algebraic equation that demonstrates the **commutative property of addition**, which states that the order of adding numbers does not change the sum. Let's break down the equation you've provided:
\[
11 + 6 = 6 + \square
\]
To find the value of the square (□), you can solve the equation step-by-step:
1. **Understand the Equation:**
\[
11 + 6 = 6 + \square
\]
2. **Simplify Both Sides:**
- Left side: \( 11 + 6 = 17 \)
- Right side: \( 6 + \square \)
3. **Set the Simplified Left Side Equal to the Right Side:**
\[
17 = 6 + \square
\]
4. **Solve for □:**
\[
\square = 17 - 6
\]
\[
\square = 11
\]
**Answer:** The value of the square (□) is **11**.
This confirms the commutative property of addition, as \( 11 + 6 = 6 + 11 \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
Did you know that the order of addition doesn't matter? This is known as the commutative property, which means \(a + b = b + a\). So, in your equation, \(11+6=6+\square\), you can interpret the blank as \(11\) because \(6 + 11\) will equal the same as \(11 + 6\). In real-world applications, understanding properties of numbers helps in everything from budgeting your expenses to calculating distances. For instance, when you're shopping and need to total prices, you can rearrange how you group numbers to simplify calculations, ensuring you catch those sales without breaking a sweat!
