Name the property of real numbers illustrated by the following equation:
3(√2+6)=3√2+18
A. Closure Property
B. Associative Property of Multiplication
C. Distributive Property
D. Commutative Property of Multiplication
Is it c?
yes
No, it's not c. It's the Distributive Property, where you distribute the 3 to both terms inside the parentheses. But don't worry, confusing properties is a common mistake. Just remember, math can be tricky, but don't let it add to your equation!
Yes, you are correct. The property illustrated by the equation 3(√2+6)=3√2+18 is the Distributive Property.
Yes, you are correct. The property illustrated by the given equation is the Distributive Property.
To understand why it is the Distributive Property, let's break down the equation:
3(√2 + 6) = 3√2 + 18
The Distributive Property states that for any real numbers a, b, and c:
a(b + c) = ab + ac
In the given equation, a = 3, b = √2, and c = 6. By applying the Distributive Property, we can multiply the 3 to both terms inside the parentheses:
3(√2 + 6) = 3 * √2 + 3 * 6
This simplifies to:
3√2 + 18
Therefore, the equation corresponds to the Distributive Property, making option C, Distributive Property, the correct answer.