Use The Associative Property To Solve LHS =4+(7+5)

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**Use the Associative Property to Solve LHS = 4 + (7 + 5)**

What is the Associative Property?

The associative property is a fundamental concept in mathematics that helps us simplify complex expressions by rearranging the order of operations. It states that when we have three numbers, say a, b, and c, we can add or multiply them in any order, and the result will be the same. In other words, the associative property allows us to regroup numbers in an expression without changing the result.

How to Use the Associative Property to Solve LHS = 4 + (7 + 5)

To solve the expression LHS = 4 + (7 + 5), we can use the associative property to simplify it. The associative property allows us to regroup the numbers inside the parentheses first, and then add the result to the number outside the parentheses.

Step 1: Regroup the Numbers Inside the Parentheses

Using the associative property, we can regroup the numbers inside the parentheses as follows:

(7 + 5) = 12

Step 2: Add the Result to the Number Outside the Parentheses

Now that we have the result of the regrouped numbers, we can add it to the number outside the parentheses:

4 + 12 = 16

Therefore, LHS = 4 + (7 + 5) = 16

Q&A

Q: What is the associative property?

A: The associative property is a fundamental concept in mathematics that helps us simplify complex expressions by rearranging the order of operations.

Q: How do I use the associative property to solve LHS = 4 + (7 + 5)?

A: To solve the expression LHS = 4 + (7 + 5), you can use the associative property to regroup the numbers inside the parentheses first, and then add the result to the number outside the parentheses.

Q: Can I use the associative property to solve any expression?

A: Yes, the associative property can be used to solve any expression that involves addition or multiplication. However, it's essential to follow the order of operations (PEMDAS) when using the associative property.

Q: What is the order of operations (PEMDAS)?

A: The order of operations (PEMDAS) is a set of rules that helps us evaluate expressions with multiple operations. It stands for:

  1. Parentheses: Evaluate expressions inside parentheses first.
  2. Exponents: Evaluate any exponential expressions next.
  3. Multiplication and Division: Evaluate multiplication and division operations from left to right.
  4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: Can I use the associative property to solve expressions with multiple operations?

A: Yes, the associative property can be used to solve expressions with multiple operations. However, it's essential to follow the order of operations (PEMDAS) when using the associative property.

Q: What are some examples of expressions that can be solved using the associative property?

A: Here are a few examples of expressions that can be solved using the associative property:

  • 2 + (3 + 4) = ?
  • 5 + (2 + 1) = ?
  • 10 + (3 + 2) = ?

A:

  • 2 + (3 + 4) = 2 + 7 = 9
  • 5 + (2 + 1) = 5 + 3 = 8
  • 10 + (3 + 2) = 10 + 5 = 15

Conclusion

In conclusion, the associative property is a powerful tool that helps us simplify complex expressions by rearranging the order of operations. By using the associative property, we can regroup numbers in an expression without changing the result. Remember to follow the order of operations (PEMDAS) when using the associative property to solve expressions with multiple operations.