Question
State the property of real numbers being used. \[ (6 x+1) 4=24 x+4 \] Associative Property of Multiplication Commutative Property of Multiplication Distributive Property Commutative Property of Addition Associative Property of Addition
Ask by Lewis Beck. in the United States
Jan 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The Distributive Property is used here.
Solution
The property being used to expand \((6x + 1) \times 4 = 24x + 4\) is the **Distributive Property**.
**Explanation:**
The **Distributive Property** allows you to multiply a single term by each term inside a parenthesis. In this case:
\[
(6x + 1) \times 4 = 6x \times 4 + 1 \times 4 = 24x + 4
\]
This shows how the multiplication is distributed across both terms inside the parentheses.
**Answer:** Distributive Property
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Simplify this solution Mind Expander
The property of real numbers being used in the equation \((6x + 1)4 = 24x + 4\) is the Distributive Property. This property allows you to multiply a single term by a sum or difference inside parentheses, distributing the multiplication across each term. Additionally, this equation simplifies how we view algebraic expressions, making it easier to solve for variables. Without the Distributive Property, we wouldn't be able to expand expressions like \((6x + 1)4\) into a form that allows for comparability on both sides of the equation, paving the way for deeper mathematical understanding!
